Open Access
January 2010 Rigid Surface Operators
Sergei Gukov, Edward Witten
Adv. Theor. Math. Phys. 14(1): 87-178 (January 2010).


Surface operators in gauge theory are analogous to Wilson and ’t Hooft line operators except that they are supported on a two-dimensional surface rather than a one-dimensional curve. In a previous paper, we constructed a certain class of half-BPS surface operators in N = 4 super Yang–Mills theory, and determined how they transform under S-duality. Those surface operators depend on a relatively large number of freely adjustable parameters. In the present paper, we consider the opposite case of half-BPS surface operators that are “rigid” in the sense that they do not depend on any parameters at all. We present some simple constructions of rigid half-BPS surface operators and attempt to determine how they transform under duality. This attempt is only partially successful, suggesting that our constructions are not the whole story. The partial match suggests interesting connections with quantization. We discuss some possible refinements and some string theory constructions which might lead to a more complete picture.


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Sergei Gukov. Edward Witten. "Rigid Surface Operators." Adv. Theor. Math. Phys. 14 (1) 87 - 178, January 2010.


Published: January 2010
First available in Project Euclid: 31 August 2010

zbMATH: 1203.81114
MathSciNet: MR2684979

Rights: Copyright © 2010 International Press of Boston

Vol.14 • No. 1 • January 2010
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