TY - JOUR
T1 - 3d dualities from 4d dualities for orthogonal groups
AU - Aharony, Ofer
AU - Razamat, Shlomo S.
AU - Seiberg, Nathan
AU - Willett, Brian
N1 - 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]We would like to thank R. Dijkgraaf, D. Freed, K. Intriligator, G. Moore, J. Park, I. Shamir, Y. Tachikawa and E. Witten for useful discussions. OA is the Samuel Sebba Professorial Chair of Pure and Applied Physics, and he is supported in part by a grant from the Rosa and Emilio Segre Research Award, by an Israel Science Foundation center for excellence grant, by the German-Israeli Foundation (GIF) for Scientific Research and Development, by the Minerva foundation with funding from the Federal German Ministry for Education and Research, and by the I-CORE program of the Planning and Budgeting Committee and the Israel Science Foundation (grant number 1937/12). OA gratefully acknowledges support from an IBM Einstein Fellowship at the Institute for Advanced Study. SSR gratefully acknowledges support from the Martin A. Chooljian and Helen Chooljian membership at the Institute for Advanced Study. The research of SSR was also partially supported by NSF grant number PHY-0969448. The work of NS was supported in part by DOE grant DE-SC0009988 and by the United States-Israel Binational Science Foundation (BSF) under grant number 2010/629. The research of BW was supported in part by DOE Grant DE-SC0009988.
PY - 2013/8
Y1 - 2013/8
N2 - 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.
AB - 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.
KW - Duality in Gauge Field Theories
KW - Field Theories in Lower Dimensions
KW - Supersymmetric gauge theory
KW - Supersymmetry and Duality
UR - https://www.scopus.com/pages/publications/84884559446
U2 - 10.1007/JHEP08(2013)099
DO - 10.1007/JHEP08(2013)099
M3 - Article
SN - 1126-6708
VL - 2013
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 8
M1 - 99
ER -