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Ramification points of Seiberg-Witten curves

Park, Chan Y. (2011) Ramification points of Seiberg-Witten curves. Journal of High Energy Physics, 2011 (7). Art. No. 068. ISSN 1126-6708. doi:10.1007/JHEP07(2011)068.

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When the Seiberg-Witten curve of a four-dimensional N = 2 supersymmetric gauge theory wraps a Riemann surface as a multi-sheeted cover, a topological constraint requires that in general the curve should develop ramification points. We show that, while some of the branch points of the covering map can be identified with the punctures that appear in the work of Gaiotto, the ramification points give us additional branch points whose locations on the Riemann surface can have dependence not only on gauge coupling parameters but on Coulomb branch parameters and mass parameters of the theory. We describe how these branch points can help us to understand interesting physics in various limits of the parameters, including Argyres-Seiberg duality and Argyres-Douglas fixed points.

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Additional Information:© 2011 SISSA. Published for SISSA by Springer. Received: June 16, 2011; Accepted: July 4, 2011; Published: July 15, 2011. It is a great pleasure for the author to express sincere thanks to Sergei Gukov who provided precious advice at the various stages of the development of this work, and to John H. Schwarz for enlightening discussions at the finalizing stage of this work, careful reading of this manuscript, and generous support in many ways. The author also thanks Yuji Tachikawa for detailed historical comments. The author thanks Heejoong Chung, Petr Hořava, Christoph Keller, Sangmin Lee, Sungjay Lee, Yu Nakayama, Jaewon Song, and Piotr Sulkowski for helpful discussions. The author is grateful to the organizers of the 8th Simons Workshop in Mathematics and Physics at the Stony Brook University, where part of this work was completed, for their great hospitality. This work is supported in part by a Samsung Scholarship.
Group:Caltech Theory
Funding AgencyGrant Number
Samsung ScholarshipUNSPECIFIED
Subject Keywords:Supersymmetric gauge theory; Duality in Gauge Field Theories; Differential and Algebraic Geometry; M-Theory
Issue or Number:7
Record Number:CaltechAUTHORS:20111007-090635486
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:27118
Deposited By: Tony Diaz
Deposited On:14 Oct 2011 16:46
Last Modified:09 Nov 2021 16:45

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