Supersymmetric Casimir energy and the anomaly polynomial

Bobev, Nikolay; Bullimore, Mathew; Kim, Hee-Cheol

doi:10.1007/jhep09(2015)142

Supersymmetric Casimir energy and the anomaly polynomial

Bobev, Nikolay; Bullimore, Mathew; Kim, Hee-Cheol

Authors

Nikolay Bobev

Professor Mathew Bullimore mathew.r.bullimore@durham.ac.uk
Early Career Fellowship

Hee-Cheol Kim

Abstract

We conjecture that for superconformal field theories in even dimensions, the supersymmetric Casimir energy on a space with topology S 1 × S D−1 is equal to an equivariant integral of the anomaly polynomial. The equivariant integration is defined with respect to the Cartan subalgebra of the global symmetry algebra that commutes with a given supercharge. We test our proposal extensively by computing the supersymmetric Casimir energy for large classes of superconformal field theories, with and without known Lagrangian descriptions, in two, four and six dimensions.

Citation

Bobev, N., Bullimore, M., & Kim, H. (2015). Supersymmetric Casimir energy and the anomaly polynomial. Journal of High Energy Physics, 2015(09), Article 142. https://doi.org/10.1007/jhep09%282015%29142

Journal Article Type	Article
Acceptance Date	Aug 15, 2015
Online Publication Date	Sep 22, 2015
Publication Date	Sep 22, 2015
Deposit Date	Jun 7, 2018
Publicly Available Date	Jun 8, 2018
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2015
Issue	09
Article Number	142
DOI	https://doi.org/10.1007/jhep09%282015%29142

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© The Author(s) 2015 Open Access This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.