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Holomorphic blocks and the 5d AGT correspondence

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arxiv 1608.02968 v3 pith:GAPCRTKI submitted 2016-08-09 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords functionsholomorphicpartitionalgebrablockblockscompactcorrelation
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We review the holomorphic block factorisation of partition functions of supersymmetric theories on compact manifolds in various dimensions. We then show how to interpret 3d and 5d partition functions as correlation functions with underlying symmetry given by a deformation of the Virasoro algebra.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Schur Connections: Chord Counting, Line Operators, and Indices

    hep-th 2025-06 conditional novelty 7.0 of 10

    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.

  2. Towards OSV in AdS

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.

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