On S-duality of the superconformal index on lens spaces and 2d TQFT

Alday, Luis F.; Bullimore, Mathew; Fluder, Martin

Abstract

We consider the 4d superconformal index for N=2 gauge theories on S 1 × L(r, 1), where L(r, 1) is a Lens space. We focus on a one-parameter slice of the three-dimensional fugacity space and in that sector we show S-duality. We do so by rewriting the index in a way that resembles a correlation function of a 2d TFT, which however, we do not identify.

Citation

Alday, L. F., Bullimore, M., & Fluder, M. (2013). On S-duality of the superconformal index on lens spaces and 2d TQFT. Journal of High Energy Physics, 2013(05), Article 122. https://doi.org/10.1007/jhep05%282013%29122

• Journal Article Type: Article
• Acceptance Date: May 15, 2013
• Online Publication Date: May 23, 2013
• Publication Date: May 23, 2013
• Deposit Date: Jun 7, 2018
• Publicly Available Date: Jul 2, 2018
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2013
• Issue: 05
• Article Number: 122
• DOI: https://doi.org/10.1007/jhep05%282013%29122