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Supersymmetric Casimir energy and the anomaly polynomial.

Bobev, Nikolay and Bullimore, Mathew and Kim, Hee-Cheol (2015) 'Supersymmetric Casimir energy and the anomaly polynomial.', Journal of high energy physics., 2015 (09). p. 142.


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.

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Publisher statement:© 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.
Date accepted:15 August 2015
Date deposited:08 June 2018
Date of first online publication:22 September 2015
Date first made open access:No date available

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