S-duality and the lens space index View Full Text


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Article Info

DATE

2013-10

AUTHORS

Shlomo S. Razamat, Masahito Yamazaki

ABSTRACT

We discuss some of the analytic properties of lens space indices for 4d theories of class . The S-duality properties of these theories highly constrain the lens space indices, and imply in particular that they are naturally acted upon by a set of commuting difference operators corresponding to surface defects. We explicitly identify the difference operators to be a matrix-valued generalization of the elliptic RuijsenaarsSchneider model. In a special limit these difference operators can be expressed naturally in terms of Cherednik operators appearing in the double affine Hecke algebras, with the eigenfunctions given by non-symmetric Macdonald polynomials. More... »

PAGES

48

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/jhep10(2013)048

DOI

http://dx.doi.org/10.1007/jhep10(2013)048

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1021729457


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