Supersymmetric Casimir energy and the anomaly polynomial

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

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
• Public URL: https://durham-repository.worktribe.com/output/1357469