2020
DOI: 10.1007/jhep03(2020)164
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Precision microstate counting for the entropy of wrapped M5-branes

Abstract: We study the large N expansion of twisted partition functions of 3d N = 2 superconformal field theories arising from N M5-branes wrapped on a hyperbolic 3manifold, M 3 . Via the 3d-3d correspondence, the partition functions of these 3d N = 2 superconformal field theories are related to simple topological invariants on the 3-manifold. The partition functions can be expressed using only classical and one-loop perturbative invariants of P SL(N, C) Chern-Simons theory around irreducible flat connections on M 3 . U… Show more

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Cited by 46 publications
(106 citation statements)
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References 168 publications
(350 reference statements)
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“…On the other hand, we will propose the 3d-3d relation for the refined version of the twisted index, with non-trivial supporting evidence. Motivated by that, we will also propose a 3d-3d relation for the twisted index on general Riemann surfaces, which generalizes previous work [20] to cover more general classes of 3-manifolds M 3 . Finally, in subsection 2.4 we will provide non-trivial consistency checks for the proposed 3d-3d relations, confirming the integral properties of the various indices.…”
Section: D-3d Relations For 3d Indicesmentioning
confidence: 83%
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“…On the other hand, we will propose the 3d-3d relation for the refined version of the twisted index, with non-trivial supporting evidence. Motivated by that, we will also propose a 3d-3d relation for the twisted index on general Riemann surfaces, which generalizes previous work [20] to cover more general classes of 3-manifolds M 3 . Finally, in subsection 2.4 we will provide non-trivial consistency checks for the proposed 3d-3d relations, confirming the integral properties of the various indices.…”
Section: D-3d Relations For 3d Indicesmentioning
confidence: 83%
“…While in [20] the 3d-3d relation was proposed for 3-manifolds with vanishing H 1 (M 3 , Z N ), here we generalize it to arbitrary closed hyperbolic 3-manifolds.…”
Section: (235)mentioning
confidence: 85%
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