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Surface operators in Abelian gauge theory

Tan, Meng-Chwan (2009) Surface operators in Abelian gauge theory. Journal of High Energy Physics, 2009 (05). Art. No. 104. ISSN 1126-6708.

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We consider arbitrary embeddings of surface operators in a pure, non-supersymmetric abelian gauge theory on spin (or non-spin) four-manifolds. For any surface operator with a priori simultaneously non-vanishing parameters, we explicitly show that the parameters transform naturally under an SL(2,Bbb Z) (or Γ_0(2)) duality of the theory. However, for non-trivially-embedded surface operators, S-duality holds only if the quantum parameter effectively vanishes, while the overall SL(2,Bbb Z) (or Γ_0(2)) duality holds up to a c-number at most, regardless. Via the formalism of duality walls, we furnish an alternative derivation of the transformation of parameters - found also to be consistent with a switch from Wilson to 't Hooft loop operators under S-duality. With any background embedding of surface operators, the partition function and the correlation functions of non-singular, gauge-invariant local operators on any curved four-manifold, are found to transform like modular forms under the respective duality groups.

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Additional Information:© 2009 SISSA. Received 25 April 2009, accepted for publication 22 May 2009. Published 26 May 2009. This work is supported by the California Institute of Technology and the NUS-Overseas Postdoctoral Fellowship. E-print number: 0904.1744
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National University of SingaporeUNSPECIFIED
Subject Keywords:Duality in Gauge Field Theories; Gauge Symmetry; Differential and Algebraic Geometry
Record Number:CaltechAUTHORS:20090903-124619792
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Official Citation:Surface operators in abelian gauge theory Meng-Chwan Tan JHEP05(2009)104 doi: 10.1088/1126-6708/2009/05/104
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:15579
Deposited By: George Porter
Deposited On:22 Sep 2009 16:56
Last Modified:29 Aug 2014 14:25

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