The Schur half-index of pure 4d N=2 SU(N) SYM with Wilson line insertions equals a q-oscillator vacuum expectation value, shown to be the partition function of the relativistic open Toda chain.
5d gauge theories on orbifolds and 4d 't Hooft line indices
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abstract
We study indices for 5d gauge theories on S^1 \times S^4/Z_n. In the large orbifold limit, n \rightarrow \infty, we find evidence that the indices become 4d indices in the presence of a 't Hooft line operator. The non-perturbative part of the index poses some subtleties when being compared to the 4d monopole bubbling which happens in the presence of 't Hooft line operators. We study such monopole bubbling indices and find an interesting connection to the Hilbert series of the moduli space of instantons on an auxiliary ALE space.
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Schur Connections: Chord Counting, Line Operators, and Indices
The Schur half-index of pure 4d N=2 SU(N) SYM with Wilson line insertions equals a q-oscillator vacuum expectation value, shown to be the partition function of the relativistic open Toda chain.