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Central charges of 2d superconformal defects

Central charges of 2d superconformal defects
Central charges of 2d superconformal defects
In conformal field theories (CFTs) of dimension d>3, two-dimensional (2d) conformal defects are characterised in part by central charges defined via the defect's contribution to the trace anomaly. However, in general for interacting CFTs these central charges are difficult to calculate. For superconformal 2d defects in supersymmetric (SUSY) CFTs (SCFTs), we show how to compute these defect central charges from the SUSY partition function either on Sd with defect along S^2, or on S^1×S^d−1 with defect along S^1×S^1. In the latter case we propose that defect central charges appear in an overall normalisation factor, as part of the SUSY Casimir energy. For 2d half-BPS defects in 4d N=2 SCFTs and in the 6d N=(2,0) SCFT we obtain novel, exact results for defect central charges using existing results for partition functions computed using SUSY localisation, SUSY indices, and correspondences to 2d Liouville, Toda, and q-deformed Yang-Mills theories. Some of our results for defect central charges agree with those obtained previously via holography, showing that the latter are not just large-N and/or strong-coupling limits, but are exact. Our methods can be straightforwardly extended to other superconformal defects, of various codimension, as we demonstrate for a 4d defect in the 6d N=(2,0) SCFT.
1029-8479
O'bannon, Andrew
f0c14b6c-5b74-4319-8432-f9eba1e20cf3
Robinson, Brandon J
56901315-b500-40af-9f3b-1b8cbbdfaffb
Chalabi, Adam
fdf2f8ce-9b0e-44a1-b6e6-202e0ccccb7c
Sisti, Jacopo
d0865320-17e5-48b6-a89e-6b46c8e88f10
O'bannon, Andrew
f0c14b6c-5b74-4319-8432-f9eba1e20cf3
Robinson, Brandon J
56901315-b500-40af-9f3b-1b8cbbdfaffb
Chalabi, Adam
fdf2f8ce-9b0e-44a1-b6e6-202e0ccccb7c
Sisti, Jacopo
d0865320-17e5-48b6-a89e-6b46c8e88f10

O'bannon, Andrew, Robinson, Brandon J, Chalabi, Adam and Sisti, Jacopo (2020) Central charges of 2d superconformal defects. Journal of High Energy Physics. (doi:10.1007/JHEP05(2020)095).

Record type: Article

Abstract

In conformal field theories (CFTs) of dimension d>3, two-dimensional (2d) conformal defects are characterised in part by central charges defined via the defect's contribution to the trace anomaly. However, in general for interacting CFTs these central charges are difficult to calculate. For superconformal 2d defects in supersymmetric (SUSY) CFTs (SCFTs), we show how to compute these defect central charges from the SUSY partition function either on Sd with defect along S^2, or on S^1×S^d−1 with defect along S^1×S^1. In the latter case we propose that defect central charges appear in an overall normalisation factor, as part of the SUSY Casimir energy. For 2d half-BPS defects in 4d N=2 SCFTs and in the 6d N=(2,0) SCFT we obtain novel, exact results for defect central charges using existing results for partition functions computed using SUSY localisation, SUSY indices, and correspondences to 2d Liouville, Toda, and q-deformed Yang-Mills theories. Some of our results for defect central charges agree with those obtained previously via holography, showing that the latter are not just large-N and/or strong-coupling limits, but are exact. Our methods can be straightforwardly extended to other superconformal defects, of various codimension, as we demonstrate for a 4d defect in the 6d N=(2,0) SCFT.

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Accepted/In Press date: 27 April 2020
Published date: 20 May 2020

Identifiers

Local EPrints ID: 441817
URI: http://eprints.soton.ac.uk/id/eprint/441817
ISSN: 1029-8479
PURE UUID: eb7dd51a-11e3-4422-80fb-a14d63d5b026
ORCID for Andrew O'bannon: ORCID iD orcid.org/0000-0001-7862-783X

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Date deposited: 29 Jun 2020 16:31
Last modified: 30 Jun 2020 00:35

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Author: Andrew O'bannon ORCID iD
Author: Brandon J Robinson
Author: Adam Chalabi
Author: Jacopo Sisti

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