N = 1 geometries via M-theory
Abstract
We provide an M-theory geometric set-up to describe four-dimensional N = 1 gauge theories. This is realized by a generalization of Hitchin's equation. This framework encompasses a rich class of theories including superconformal and confining ones. We show how the spectral data of the generalized Hitchin's system encode the infrared properties of the gauge theory in terms of N = 1 curves. For N = 1 deformations of N = 2 theories in class S, we show how the superpotential is encoded in an appropriate choice of boundary conditions at the marked points in different S-duality frames. We elucidate our approach in a number of cases — including Argyres-Douglas points, confining phases and gaugings of T_N theories — and display new results for linear and generalized quivers.
Additional Information
© 2013 SISSA. Published for SISSA by Springer. Received: August 30, 2013. Accepted: October 9, 2013. Published: October 31, 2013.It is a pleasure to thank Francesco Benini, Michele Del Zotto, Hirosi Ooguri, Sara Pasquetti, Jaewon Song, Yuji Tachikawa, Futoshi Yagi, Kazuya Yonekura and Peng Zhao for many stimulating discussions. KM would like to thank Particle physics group, SISSA and Simons Summer Workshop 2013 in Mathematics and Physics, where this work was partly done, for hospitality. SG would like to thank the Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo for hospitality during the completion of this work. This research was partly supported by the INFN Research Project PI14 "Nonperturbative dynamics of gauge theory", by the INFN Research Project TV12, by PRIN "Geometria delle varietà algebriche", by MIUR-PRIN contract 2009-KHZKRX, and by a Simons Investigator award from the Simons Foundation to Hirosi Ooguri. The work of KM is supported by a JSPS postdoctoral fellowship for research abroad.Attached Files
Submitted - 1307.7703v2.pdf
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Additional details
- Eprint ID
- 42800
- DOI
- 10.1007/JHEP10(2013)227
- Resolver ID
- CaltechAUTHORS:20131203-113817153
- PI14
- INFN Research Project
- TV12
- INFN Research Project
- PRIN
- 2009-KHZKRX
- MIUR-PRIN
- Simons Foundation Simons Investigator award
- JSPS Postdoctoral Fellowships for Research Abroad
- Created
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2013-12-03Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field