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Surface defects, the superconformal index and q-deformed Yang-Mills · Around

2013

Surface defects, the superconformal index and q-deformed Yang-Mills

Alday, Luis F., Bullimore, Mathew, Fluder, Martin et al.

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Recently a prescription to compute the four-dimensional N = 2 superconformal index in the presence of certain BPS surface defects has been given.

These surface defects are labelled by symmetric representations of SU(N).
In the present paper we give a prescription to compute the superconformal index in the presence of surface defects labelled by arbitrary representations of SU(N).
Furthermore, we extend the dictionary between the N = 2 superconformal Schur-index and correlators of q-deformed Yang-Mills to incorporate such surface defects.

Built on

S. Ruijsenaars and H. Schneider, A NEW CLASS OF INTEGRABLE SYSTEMS AND ITS RELATION TO SOLITONS
1986
Earlier work this paper cites.
Oxford : Clarendon Press, 1995
Original
I. G. Macdonald, Symmetric Functions and Hall Polynomials · 1995
Earlier work this paper cites.
M. Aganagic, H. Ooguri, N. Saulina, and C. Vafa, Black holes, q-deformed 2d Yang-Mills, and non-perturbative topological strings
2005
Earlier work this paper cites.
J. Kinney, J. M. Maldacena, S. Minwalla, and S. Raju, An Index for 4 dimensional super conformal theories
2007
Earlier work this paper cites.

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Then

A. Gadde, L. Rastelli, S. S. Razamat, and W. Yan, The Superconformal Index of the E6 SCFT
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Later among the works it cites.
A. Gadde, L. Rastelli, S. S. Razamat, and W. Yan, The 4d Superconformal Index from q-deformed 2d Yang-Mills
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D. Gaiotto, N=2 dualities
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