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Colliding Singularities in F-theory and Phase Transitions

Authors
Michael Bershadsky,Andrei Johansen
Géric MAURA,Aryavarta Kumar,Luiz Sennes,Geoffrey McMullan,Roger Marchant,Yasu-Taka Azuma,Grazyna Bator,Gwenael Gouadec,Kevin Fox,John Crawford,Olivier Darbin,Paul Ornstein,Konstantinos Georgatos,Raimondo MAGGI,Ichiro Nishizaki,Hakim Djelouah,Stephan Prueckner,Mark Granick,Jose Pedro De La Cruz,brett sheppard,Randolph Hall,Karl-Hans Englmeier,Stefan Zahler,Alain Brenier,Hugh Piggins,Danielle Troutaud,patricia ostrosky-wegman,Robert Molinari,Julia Crim,Frederico Graeff,gavin Kilpatrick,Per Sodersten,Patrick Bastien,Margaret Stack,Tatyana Sergienko,Tony Hak,Walter Lengauer,Bruno Besser,Jose Ignacio Garcia,Natalia Zaikova,milena rizzo,Alberto Moreno,Severino Júnior,Erik Fridell,Yasuyuki Fujiwara,Jerome Paillet,JOO TIEN OH,Jordi Jordana,Tamara ODOM-MARYON,Sonia Louro,michael tovey,Jaime Gimenez,Ryszard Bialecki,Catherine McCrohan,Paolo SPINELLI,Anthony Harmar,Seamus Grimes,Felix Hanke,John Misiaszek,Melanie Berkmen,Anjela Koblischka-Veneva,Qing Lu,PIERO ANGELO MORANDINI,GINO IANNUCCI,William Staines,Nikolay Kiselev,Joel Bornstein,Konstantin Kostromin,Thomas B. Randrup,Andrei Gorea,Michel Sylvestre,Margaret Tivey,William A. Maher,leonard rossmann,Ann Lee,Miriam Blake,Benjamin Neel,Bonnie Martin-Harris,Julie Duque,James Wilson,Simon Bignall,Greg Davis,Jeremy Slater,Bengt Johansson,Dragomir Dimitrijević,Ashley Craig,Fernando Valle-Inclán,Janis Virbulis,Joshua Obiero,Remigio Zvauya,Luigi Palopoli,Jacob Bornstein,Antonella Isgro,ChinLun Lai,Rostislav Matveev,Dirk Bornemeier,Chettiyappan Visvanathan,Antonio Luis Bazán,Jianguo Wang,David Alcaide Lopez de Pablo,Cagri A Uysal,Albert Victor van den Berg,Karl Ritz,Hans-Jürgen Götze,Edzer Pebesma,Jan Snel,Parker Mills,Marta Capellas,Ohad Gal-Mor,Nick Miles,Buenaventura Guamis López,Anders Fink-Jensen,Mauro Cacciafesta,Lonnie Zeltzer,Elena Shirokova,Sami OTHMAN,Salvatore Deiana,Manus Rungtusanatham,David Cheong,Håkan Karlsson,Seunghyun Ko,Karl Kasischke,Jonathan Shepherd,Hugo Sandim,Franklyn Howe,J. Christopher Glantz,Jordi Calderó,Giampaolo Perna,Tarik-Zine BELHOCINE,Sergio RIVA,Cor Kalkman,Robert Mason,Jianliang Wang,Denis Curtin,Francisco Burló,Zaal Kokaia,Francesca Mazzia,Réjean Plamondon,Ira Bergman,S C Tjong,Andrey Timofeev,Yun Hing Richard CHEUNG,John Jones,Guangyu Zhu,emmanuelle Montarges-Pelletier,Virginia Pereira,Marie-Pierre Bousquet,Juan Carlos López Ramos,Juana Magdalena Santana Casiano,Danny MacKinnon,Dazhi Jiang,MELCHOR GONZALEZ-DAVILA,Barry Gibbs,Edmund Garr,Andrea DeCapua,Wasim Audeh,Amalia Jimenez,Gerrit Antonides,Leticia Miranda-Contreras,Loredana Cerroni,Jawad Ahmed,Oscar Marin,Graciela Pedrana,Youming Chen,Ashu M. G. Solo,Rajesh Gupta,marco fossa,Alexander Puzrin,Ruth Meinzen-Dick,Roberto Della Loggia,Salvatore Cavalieri,Constantinos Chrysikopoulos,Strinivasen Naidoo,Atsuko Gunji,JIANN-JONG LIAU,Zia ud Din Sindhu,Paolo Franchin,Hans Dam,Celia C. Cabral,Mireille Richard-Plouet,Joyce Trost,Artemi Cerdà,Clare Pollock,Martine DECLOUX,elio troisi,Cecilia Giulivi,Артём Коробкин,Maria-Serena Poli,Teresa Modesto,Elmara Graser,Erik Jönsson,PIERLUIGI PIERUCCINI,Hideyuki Sawada,Antonio-José Trujillo,Maria ZAPPALA',Ivo Dlouhy,Esther Rilo,cosimo solidoro,Jan Kremers,Elisabete Machado,Carmen Vazquez,Ayhan BEKLEYEN,Estelle Hirsinger,alberto zaffaroni,Marie-Josephe GALMIER,Juliana F. Roos,Hassan Aly,John Harrison,Roberto Rivabene,Nuria Martínez-Navarrete,Harold Katner,Gregory Funk,A S Sekhar,steven salterio,trifone schettino,Lilian Perez-Santana,Ichiro Takashima,M. Dolors Grau Vilalta,Manuel Martinez,Carmen Perez-Rontome,Rachel Spronken-Smith,Jan Piaw VOON,Frances Knudson,RUEI-FENG CHEN,Peter Gumbsch,Angel Guerrero,sreevathsa mr,Anna-Maria Tokes,Karin Östergren,George Christakos,Petr Dejmek,Sandrine Cestèle,Pol Tijskens,Maria Luisa Rua Rodriguez,Bin-Juine Huang,Надежда Селянская,Anastasia Samoilova,Kohjiro Hara,Alexander Movchan,Dénes Szabó,Gilad Lifschytz,Rachael Huntley,Zdenek Zadak,Kenneth Abrams,Joseph Varon,Uldis Rogulis,Miquel Garriga,Jost Kaufmann,Miguel A. Cavaliere,Obas John Ebohon,Francisco Molina-Holgado,Mark Lindner,Elizabeth Opara,S. Eralp Bellibas,Peiyu Cao,Dmitri Toptygin,Kiran Fernandes,Osamu Matsuda,Hiren Maharaj,Jonathan Gratus,Roberta OConnor,Manuela Inácio,Yu-Qiang Ding,Masami Yamada,Helen Byrne,Syksy Räsänen,Violetta Patroniak,N/A ,Lars Øgendal,Erick Turner,Mary Mackesy-Amiti,JESUS RUIZ-CONTRERAS,Iwao Yamaguchi,Werner Strik,Peter ANDERSON,Andrea de Bartolomeis,Ole Isacson,Kazunori Ikebukuro,Michael Sowa,william wei,Warren Bishop,Dobrinka Georgieva,Matthias Pucher,Михайло Гончерюк ,Michael Hartmann,Ping LIN,Mikko Salaspuro,David Wareing,Alfons Weersink,Diego Cortes Martínez,Hiroyuki Hirano,Sender Dovchin,Fumiyuki Nakajima,Lucjan Pawłowski,Francesco Bigazzi,Bassem Sheikh,Mark Laslett,Nancy Boury,Vladimir Bojinov,Aleksey V. Kolesnichenko,Ana García-Prieto,Marialuisa Valente,Robert Slappendel,Bouchra CHKIRATE,Joanna Shisler,Saša Filipović,Michael Fettweis,Thomas Haugen,Gerald Evans,Rae Ritchie,Maria-Eugenia Sanchez,Martine MEUNIER,Vasilis Bontozoglou,Vera Kurkova,Rasha zahran,Chungsying Lu,Ara Feinstein,Sandrine Lamandé-langle,Bob Lonne,Adli Mustafa,Daniel Bolon,M C Deo,John Wanebo,Jonathan Cooper,João Andrade Carvalho Jr.,Paola Lenzi,Michael Zaugg,Alexander Nickolaenko,Adolfo Carlos Iñigo ,Leon Mishnaevsky,Adolfo Guzmán-Arenas,Alexander Pine,Juliusz Orlikowski,loredana falzano,SUNG EUN CHO,Francesc Mañosas,Salvador Garrigues,Ricardo Santana,Renzo Di Felice,Klemens Gutbrod,SHOLA ELIJAH ADENIJI,Francesc X. Sureda,Luciana Di Gaspare,Hin Wa LI,Joseph Choi LAM,Jorge Luiz Sampaio,Venugopalan Nair,Jerzy Kowalski-Glikman,Todd Miller,Vladimir Dyakonov,Souad Najib,Ian Siboo,Søren Ott,Raymundo Arroyave,Mark Allen,Francisco Javier Diez,Yoshio MATSUI,Susan Hillman,Vanessa Barnabei,Vasco Alves,Cristina Jordán,M Filipa Ribeiro,Alexander Neef,Jonathan Van Hamme,António Moret Rodrigues,Takaaki MANABE,Koki Ikeda,John Lawrence,Manjunath Pai,BURAK SADE,Anthony Woolf,C Y William Tong,Nadine Anders,Jose Luiz Boldrini,Cristina García-Frigola,William Whitehouse,VINCENZA ANDRISANO,Ibrahim Banat,Britt Scharringhausen,Koa Webster,Rahul Parson,Maurizio De Rosa,Umberto Amato,Benachir Medjdoub,Satendra P. Singh,Maria Giulia Lionetto,Yonglin Ju,Rosalyn Shute,Peter Harris,Marisela Méndez-Armenta,Fabrizio Salvador,Yan Crane,Shu-Ting Cho,Chih-Horng Kuo,Virginia Wotring,Michael J. Brown,Mariano Ferraresso,Kasi Pitchumani,Cyril Goutte,Juliet Moncaster,John Williams,Estela Puchulu-Campanella,Yoshiaki Matsuo,Juan Carlos Moltó,Pamela Vallely,THOMAS MAVROMOUSTAKOS,Monica PASCA,Daniel Curewitz,Philippe Litaudon,Sirpa Riihiaho,Md Mosharaf Hossain,Marcello Di Bonito,Adam Tickell,Feng Li,S Ismat Shah,Walter NUNINGER,Hans Ludger Tillmann,Emmanuel DUGUET,Jason Tanner,Massimiliano Zaniboni,Clayton Dickson,Oriana Piermatti,Alexander Shvets,Sandra Schuck,Giovanni MUMMOLO,Vassilis Saltas,Aaron Newman,Anne Volbeda,Marcela Simontacchi,Hiroyuki Suganuma,Jean Francois Papon,Joyashree Roy,David Allred,Toshio Nishikawa,Jozsef Rabai,Serguei Vassiliev,Maciej Siekierski,ailsa russell,Daizo Hamada,Francisco Barceló,Victoria Ferragut,Yuri Lebedev,Chien-Tai Lin,Eric Brey,Todd Nesbit,Merav efrat,Rachel ,Ankita Bhutada,Keisey Fumero,Ximeng Yue,Ichizo Yagi,Fabian Gasser,Daihong Guo,Bhawani Prasad Bag,Gabrielle Page-Wilson,Benjamin Dreer,Jae-Myo Yu,Henk Cornelissen,Bridget Jankowski,Yan Shi,RUI LI,Lydia White,Francisco Conejero Lara,Michael Friedel,James Liu,José Roseiro,Joaquín Navarro-Esbrí,Olof Sydow,Heather Goad,Anantharaman Narayanan,Peter Stevenson,Daniel Eaton,Michael Hughes,Matthew Dillon,Zheng Ying,Mary Bryant,Kanton Reynolds,Roy Tarnuzzer,Murray Becker,Guoli Zhou,Ahmed Deebis,Safwan Ahmad Khan,Mohita Tagore,Dimitri Fazito de Almeida Rezende,Roberto Gualdi,Debasish Kumar Dey,Chloe Tyler Winterbotham,Gene Shaffer,Ting-Yun Chang,Alaa Sewid,Alexander Gurskii,Dominique Frizon de Lamotte,Sandhya Gokavarapu,Marian Gheorghe,Petra Čechová,Marwa Eltanahy,Michael McAndrew,Jenny Kim,Kevin Meng,Ana M. Fernandez,Luisa Martin Rojo,Guy Fogel,Luca Simone Ronga,Tatsuya Miyauchi,Najib El-Sayed,Liliana Morales de la Pava,Rebecca Scott,M A G Rabbani,Marco Bassetto,LIU QIAN,M. Mohan,Montserrat Roser i Puig,Ryan Crass,Solange Carpes,Gisele Pinto de Oliveira,Leticia Moreno Pérez,Kendrea Garand,Slamet Rosyadi,Deborah Koniak-Griffin,Shinya Shibutani,Naoise Nunan,Helene ARNION,Benjamin Bell,florencia noll,Kanae Tokunaga,N. Scott Litofsky,James Engstrom,Francesco D'Amato,Martina Vnukova,Howard Tandeter,Maarten van Wijhe,Hyung-Sun Kim,José A. Oteo-Maldonado,Junichi INAMOTO,Jörg Schäfer,Fanny Hidayati,Ajay Pillai,Jonathan Sullivan,Andrea Sass,Paolo Inglese,Gabriella Serio,Stephen Bourne,Olufunmilola Makanjuola,Randy Goldberg,Jeanna Klinth,Grzegorz Malara,Paul Bertrand,Jurii Shilov,Adrian Lobontiu,Parvez Akhtar,Riko Safaric,Diogenes Melo,Manuel Abreu,Sutha Sutthiruangwong,Athanasios Godelitsas,Beverly Yuen Thompson,Dorota Maslej,Sunao TOMITA,Rosaria Gitto,ANE ODRIA,Grigorios Voulalas,antonio ponzetto,Oliver Sanchez,Mariano Larzabal,Simone Teixeira,CHARISSE NIXON,Juliano Zanela,Julia Lane,José Antonio López Cerezo,Sonia Gurgueira,FRANCISCO DIAZ-MORENO,Luis R. Murillo-Zamorano,Paul Vanderburgh,Daniel Zakhary,Steven Truschel,Stephanie Fulton,Valery Lesnykh,Tommaso Angelini,Jing Yu,Kyoko Ono,Gerd Masselink,Michael Fuchs,Michael Dan Arvig,Ofelia Bento,Georg Holtz,Ali Rhoujjati,Qibin Lin,Meharvan Singh,Emilio Nardi,Alejandro Regalado-Méndez,Justyna Szpond,Jarmo T Laitinen,Sergey Karandashev,Thomas Martin Embley,Alessia Lombardi,Sergei Kharitonov,Gea Dreschler,Saim TOPÇU,Takehito Ono,Mohammad Zainuddin,Luiz Irber,Luis Guadalupe Zárate,Claes Andréasson,Kazuya Kiyota,Julio Castillo,Ali Nadernezhad,Lori Roxborough,Zofia HAFTEK-TERREAU,Scott Brietzke,Elisabeth Dedman,vitor almeida,Marshall Reinsdorf,Karen Harkness,Severino Galan,Stuart Weinstein,Thomas Neu,Roberto Ferrarese,Brian McHugh,Tatsushi Onaka,Débora Aparecida dos Reis Justo Barreto,Loren Wissner Greene,Jørgen de Jonge,Margaret Hall-Craggs,Valery Davydov,Erika Yeh,Shannon Kramer,sabit demircan,Denis Marion,Steven McIntosh,Antti Siiskonen,Ibeth Romero Calderon,AMMA AGYEMANG,Delia Cristina Papp,Libak Abou,guglielmo nasti,João P. Lourenço,Michael McNItt-Gray,Craig Hemmens,Arlene Schmid,Kostas Stathis,gilles fraser,Helena Svitavska Svobodova,Sana Tibi,Jonathan Allen,Zhaohui Zhang,Sabine Kastner,Jan Mojzis,Shadia Tewfik,Dariusz Swierczynski,Hoda Khaldy,Ragnar Audunson,Fabricio Cid,Michael Ben-Gad,Juan Ignacio Muñoz-Bonet,Bernhard Sabel,Thamarai Schneiders,John Barta,Behrouz Zandieh Doulabi,Thomas Lang,NUR YUCEYAR,Khalid Al-Hamdan,Michael Cantor,Adil Mergani,Celal Yaşar,METIN TAYLAN,Stavros Zenios,ghislaine Morvan-Dubois,Alan Peters,MP Rajan,Robert Forsythe,Ignacio Mauleón Torres,Robert Block,catherine leon,Jonathan Evans,Catarina Araújo,Harry Patrinos,Ayman Alsebaey,William Fletcher,Thomas Litman,Haiying Liu,Magali Williamson,Xavi Bargallo,Stephan Klessinger,Hagen Hommel,Joanne Outtrim,Inmaculada Alados Arboledas,Roger Moss,Robert Easley,Ron Hackney,Rosemary Oram,Frederique Ruf-Zamojski,Cathy C. Sarli,Ingolf Reim,Carmen Rivas,M. Gabriela Chotro,Ziemowit Ostrowski,Sameh Ragab,Renee Hoch,Heliodoro Gonzalez Garcia,MARIA ELEFTHERIOU --,Stephen Hart,Lorenzo Magenta,Albina Resende,Ever Peralta,Carlos Henrique Daros,Jingjing Meng,Catherine Disselhorst-Klug,morteza pourfarzam,Norah Vincent,Donald Chakeres,Evgenia Bila,William Merigan,Fabio Manzini,Edward Iller,Gernot Sieg,Franca Maria Buratti,Julian Meeks,Ladislav Mirossay,Massimiliano MUTIGNANI,ANASTASIA THANOPOULOU,John Wiecha,Boris Orth,Timothy Budd,Wim Jennes,Steven McAnany,Nathan Consedine,Bulent Yesilata,Bernard Di Martino,Jurriaan de Groot,Gabriele Finco,Iain Searle,Gui-Qiang G. Chen,Yamandú Hilbert,Annalisa Pinna,Ari Meerson,Deepti Jain,Servé Kengen,Abdullatif Ben-Nakhi,Elena Del Rey,Tsung Wei Huang,Sudipto Saha,Stefano Urbinati,irfan yolcubal,Alex McCarthy,Victor Frak,Isabelle Faille,MOURAD TAYEBI,Joanna Bierla,Athanasios Angelis-Dimakis,Nancy Lombardo,Małgorzata Płonka,Diego Valderrama,BEGOÑA GROS,Tsuyoshi Uehara,Kandasamy Ulaganathan,alicia huarte,Simon Dyson,Witold Beluch,Benjamin Rusak,Jian Wang,Mika Hukkanen,Bruno Burlando,John Ward,Carlos González,David Longbottom,Guy Desaulniers,Domingos Tsuji,Catherine E. Snow,Karen Vogtmann,Tjalling Jager,Teresa Gonçalves Ribeiro,Aretha Fiebig,Anja Scholzen,Roger Braithwaite,Ingela Schnittger,Bart Fraaije,Shane Henderson,Izabela Nowak,Judit Subirana-Mirete,Bruno G. Pollet,Speranza Donatella RUBATTU,sam ,Rajesh Nair,Inmaculada Foyo Moreno,Inger Lise Bogen,Hirokazu TANIGUCHI,Marc Gener-Moret,Paulo Atsushi Suzuki,Valentina Broshtilova,Ali Abbasov,Susanna Levina Middelberg,juan loro,Terrence Gardner,Julie Kapp,Gil Ben Yakov,Frank J.C. Peeters,Michelle Sait,Alan Newman,Jill Norvilitis,Rainer Schmelzeisen,Iordanis Papadopoulos,Phu ,Andreas ,Cihangir Ozaslan,Pavel Dolezal,Andrea Sertie,Joseph Vamecq,Antonio Ruiz,Belén López Arroyo,Josep Quer,Nuria Cabedo,Dmitry Konopelko,Subramaniapillai Niju,José Amarilio Barbosa,Maria Raissaki,Nancy Moureau,António Palma dos Reis,Tanya Freedman,Tatiane Oldoni,Nikolay Petrov,Friedemann Hesse,Nigel Cross,Douglas P. Twitchell,William Moseley,Arturo Pagano,Małgorzata Kaczmarek,Magdalena Ietswaart,Ruth Mary Saunders,Chung-Ming Chen,Matthew Will,Julie Blendy,Mazen Kanj,Aurora García-Gallego,Fabiana Branquinho,Karel Masek,Greg Caporaso,Dino Tonti,Egidijus Urbonavicius,Ramon Trullas,Alfried Kohlschütter,Miguel Angel Fuentes,Isao Ogino,Henry Waldvogel,Houda Berrada,Omer Nezih Gerek,David Lissauer,Egon Ozer,Lubomír Opletal,Carlo Carraro,Valentin N. Popov,Kimiyoshi Naito,Jacco Wallinga,Vern Carruthers,Christian Nasel,Andrea Sciarretta,José Manuel Martins,Iman ,Newton Kumwenda,Giorgio Brandi,Vladimir Chobot,Marilena Cardu,Vincenzo Minganti,Hamid Nazarian,Masoud Hafezi,Albert Lau,Mahmoud Hadizadeh,Daniel Breitkopf,Elizabeth Sinz,Elisa Canepa,Iwona Szatkowska,KYO SANG KIM,Sophia Chia-Ning Chang,Henrique Luna,Antonella Cerquiglini,Stefan Kuhlmann,Blanka Kubikova,Katharina Zimmermann,Federico Arguissain,Rafael Bordini,Henk Van As,Alejandra Bosco ,Ovidiu Constantin Baltatu,Sanjeevi Sivasankar,Ângela Novais,Germaine Escames,C. Titus Brown,Annalisa Grimaldi,Apostolos Kotsialos,IRENE DASKALOPOULOU,Zandrea Ambrose,Florica Corina Cirstea,Daniela F Bueno,Paul McCombie,Kiylioglu nefati,Alessandra Rossini,Lex Bouwman,Jukka Partanen,Marcia Martins Reis,Mark Pakianathan,Ian Parberry,Michael Conlon,Krzysztof Staninski,Socorro Rangel,Antonio Ferreira Miguel,William Haynes,Bořek Patzák,Jan-Erik Johanson,Cinzia Giacometti,Jörg Brendle,Iwona Ciechomska,Andres Villaveces,Mark W. Jones,Kelly Smith,Fernando-Miguel Gamboa-Antiñolo,Timothy Chilemba,Duncan Hannant,Uwe Zscherpel,Paola VANNUCCHI,Speranza Rubattu,Jeffrey Rose,Valérie Jullian,Andreas Kyriacou,Jun Shinozuka,Jennifer Jordan,Karen Benson,Ivan Hrdý,Laurence Huang,Magda Giordano,Gilda Cobellis,Rie Hosoi,Michal Lukomski,Andrea Vacca,Udo Kragl,Maria Dolores Muñoz,Padraig O'Suilleabhain,Sunandan Sarkar,Rubao Ji,Paul Monach,Ik Soon Jang,Robert Sutak,Rolf Riethmüller,Daniel Cox,David Renato Domínguez Carreta,Jin-Hee Han,Jose-Luis Fernandez-Turiel,Paul LANT,Tianhai Tian,Stuart Cordwell,Simon Robinson,Basil Tikoff,Peter Kinnell,Markus Flury,Wolfgang Pantleon,Duhwan Mun,Marc Del Bigio,Lubos Sobotka,Richard Assaker,M. A. Gulamhussen,Joaquim Barbosa,Natalia Petersen,Simon Hands,Robert Margo,Mark Perry,Maya I. Mitova,Lucy Wibbenmeyer,Lisha Niu,Jorge Paramo,Raghunandana K,Kurt Heutschi,Ismail Saglam,Tatiana Zenchenko,Chantal TRIBOLO,Clay Kelly,Alfonso PAPPARELLA,Jordi Gomis-Bresco,SONIA SANCHEZ,Alexandre Borovik,Paolo Perona,M. Consuelo Jimenez,Guido GIORDANO,Margit Burmeister,小琳 侯,Tim Carlsen,JOSÉ RAMÓN GARCÍA-BERROCAL,Iztok Turel,Yoshihisa Hagihara,Mary Connolly
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Oct 16, 1996
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