期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP08(2013)099
关键词
Supersymmetry and Duality; Duality in Gauge Field Theories; Supersymmetric gauge theory; Field Theories in Lower Dimensions
资金
- Rosa and Emilio Segre Research Award
- Israel Science Foundation center for excellence grant
- German-Israeli Foundation (GIF) for Scientific Research and Development
- Minerva foundation
- Federal German Ministry for Education and Research
- I-CORE program of the Planning and Budgeting Committee
- Israel Science Foundation [1937/12]
- IBM Einstein Fellowship at the Institute for Advanced Study
- Martin A. Chooljian and Helen Chooljian membership at the Institute for Advanced Study
- NSF [PHY-0969448]
- DOE [DE-SC0009988]
- United States-Israel Binational Science Foundation (BSF) [2010/629]
- Direct For Mathematical & Physical Scien
- Division Of Physics [969448] Funding Source: National Science Foundation
We extend recent work on the relation of 4d and 3d IR dualities of supersymmetric gauge theories with four supercharges to the case of orthogonal gauge groups. The distinction between different SO(N) gauge theories in 4d plays an important role in this relation. We show that the 4d duality leads to a 3d duality between an SO(N-c) gauge theory with N-f flavors and an SO(N-f - N-c + 2) theory with N-f flavors and extra singlets, and we derive its generalization in the presence of Chern-Simons terms. There are two different O(N) theories in 3d, which we denote by O(N)(+/-), and we also show that the O(N-c)-gauge theory is dual to a Spin(N-f - N-c + 2) theory, and derive from 4d the known duality between O(N-c)(+) and O(N-f - N-c + 2)(+). We verify the consistency of these 3d dualities by various methods, including index computations.
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