Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 319, Issue 1, Pages 147-193Publisher
SPRINGER
DOI: 10.1007/s00220-012-1607-8
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Funding
- NSF [PHY-0969448, PHY-0969739]
- National Science Foundation [1066293]
- INFN
- Direct For Mathematical & Physical Scien
- Division Of Physics [969739] Funding Source: National Science Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [0969919] Funding Source: National Science Foundation
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We study the four-dimensional superconformal index in various interesting limits, such that only states annihilated by more than one supercharge contribute. Extrapolating from the SU(2) generalized quivers, which have a Lagrangian description, we conjecture explicit formulae for all A-type quivers of class , which in general do not have one. We test our proposals against several expected dualities. The index can always be interpreted as a correlator in a two-dimensional topological theory, which we identify in each limit as a certain deformation of two-dimensional Yang-Mills theory. The structure constants of the topological algebra are diagonal in the basis of Macdonald polynomials of the holonomies.
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