A new derivation of the Picard-Fuchs equations for effective N = 2 super Yang-Mills theories |
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| Affiliation: | 1. Department of Physics, Brandeis University, Waltham, MA 02254-9100, USA;2. Department of Physics, Brown University, Providence, RI 02912, USA;1. Department of Bioscience Engineering, University of Antwerp, Groenenborgerlaan 171, 2020 Antwerp, Belgium;2. KU Leuven Department of Microbiology, Immunology and Transplantation, Allergy and Clinical Immunology Research Unit, Herestraat 49, 3000 Leuven, Belgium;3. Clinical Department of Otorhinolaryngology, Head and Neck Surgery, University Hospitals Leuven, Herestraat 49, 3000 Leuven, Belgium;4. Faculty of Medicine and Health Sciences, Translational Neurosciences, University of Antwerp, Universiteitsplein 1, 2610 Antwerp, Belgium;5. ENT, Head and Neck Surgery and Communication Disorders, Antwerp University Hospital, 2650 Edegem, Belgium;1. School of Chemical Engineering & Technology, Tianjin University, Tianjin 300072, China;2. Department of Mechanical and Aerospace Engineering, Carleton University, Ottawa, Ontario K1S 5B6, Canada;3. Zhejiang Institute of Tianjin University, Ningbo 315200, China;4. Tianjin Key Laboratory of Chemical Process Safety and Equipment Technology, Tianjin 300350, China;1. Department of Organic Chemistry, University of Science, National University—Ho Chi Minh City, 227 Nguyen Van Cu Str., Dist. 5, 748355 Ho Chi Minh City, Vietnam;2. Department of Chemical–Food Technology, University of Technical Education—Ho Chi Minh City, 1 Vo Van Ngan Str., Thu Duc Dist., 720214 Ho Chi Minh City, Vietnam;3. Department of Chemistry, Ho Chi Minh City University of Pedagogy, 280 An Duong Vuong Street, District 5, 748342 Ho Chi Minh City, Vietnam;4. Department of Chemistry, College of Natural Sciences, Can Tho University, Can Tho, Vietnam;1. Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;2. Department of Physics and Astronomy, University of Utah, Salt Lake City, UT 84112, United States of America |
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| Abstract: | A new method to obtain the Picard-Fuchs equations of effective, N = 2 supersymmetric gauge theories in 4 dimensions is developed. It includes both pure super Yang-Mills and supersymmetric gauge theories with massless matter hypermultiplets. It applies to all classical gauge groups, and directly produces a decoupled set of second-order, partial differential equations satisfied by the period integrals of the Seiberg-Witten differential along the 1-cycles of the algebraic curves describing the vacuum structure of the corresponding N = 2 theory. |
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