Exact results for supersymmetric abelian vortex loops in 2+1 dimensions

被引:44
作者
Kapustin, Anton [1 ]
Willett, Brian [2 ]
Yaakov, Itamar [3 ]
机构
[1] CALTECH, Dept Phys, Pasadena, CA 91125 USA
[2] Inst Adv Study, Princeton, NJ 08540 USA
[3] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
关键词
Supersymmetric gauge theory; Duality in Gauge Field Theories; Solitons Monopoles and Instantons; QUANTUM-FIELD THEORY; GAUGE-THEORIES;
D O I
10.1007/JHEP06(2013)099
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We define a class of supersymmetric defect loop operators in N = 2 gauge theories in 2 + 1 dimensions. We give a prescription for computing the expectation value of such operators in a generic N = 2 theory on the three-sphere using localization. We elucidate the role of defect loop operators in IR dualities of supersymmetric gauge theories, and write down their transformation properties under the SL(2, Z) action on conformal theories with abelian global symmetries.
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页数:26
相关论文
共 20 条
[1]   IR duality in d=3 N=2 supersymmetric USp (2N(c)) and U(N-c) gauge theories [J].
Aharony, O .
PHYSICS LETTERS B, 1997, 404 (1-2) :71-76
[2]   LOCALIZATION AND DIAGONALIZATION - A REVIEW OF FUNCTIONAL INTEGRAL TECHNIQUES FOR LOW-DIMENSIONAL GAUGE-THEORIES AND TOPOLOGICAL FIELD-THEORIES [J].
BLAU, M ;
THOMPSON, G .
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (05) :2192-2236
[3]  
Dimofte T., ARXIV11084389
[4]  
Dimofte T., ARXIV11125179
[5]  
Drukker N., 2009, JHEP, V03, P004
[6]   Seiberg duality in Chern-Simons theory [J].
Giveon, Amit ;
Kutasov, David .
NUCLEAR PHYSICS B, 2009, 812 (1-2) :1-11
[7]   Exact results for 't Hooft loops in Gauge theories on S4 [J].
Gomis, Jaume ;
Okuda, Takuya ;
Pestun, Vasily .
JOURNAL OF HIGH ENERGY PHYSICS, 2012, (05)
[8]  
Gukov S., PHYS LETT B
[9]  
JAFFERIS DL, 2012, JHEP, V5
[10]  
Kapustin A., 2010, JHEP, V03, P089