Four-dimensional lens space index from two-dimensional chiral algebra

Fluder, Martin and Song, Jaewon (2018) Four-dimensional lens space index from two-dimensional chiral algebra. Journal of High Energy Physics, 2018 (7). Art. No. 73. ISSN 1126-6708. doi:10.1007/JHEP07(2018)073. https://resolver.caltech.edu/CaltechAUTHORS:20180712-134659218

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Abstract

We study the supersymmetric partition function on S^1 × L(r, 1), or the lens space index of four-dimensional N=2 superconformal field theories and their connection to two-dimensional chiral algebras. We primarily focus on free theories as well as ArgyresDouglas theories of type (A_1, A_k) and (A_1, D_k). We observe that in specific limits, the lens space index is reproduced in terms of the (refined) character of an appropriately twisted module of the associated two-dimensional chiral algebra or a generalized vertex operator algebra. The particular twisted module is determined by the choice of discrete holonomies for the flavor symmetry in four-dimensions.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1007/JHEP07(2018)073	DOI	Article
http://arxiv.org/abs/1710.06029	arXiv	Discussion Paper

ORCID:

Author	ORCID
Fluder, Martin	0000-0002-0780-8550
Song, Jaewon	0000-0002-1238-2435

Additional Information:

© The Author(s) 2018. 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. Received: January 23, 2018. Revised: June 5, 2018. Accepted: July 3, 2018. Published: July 11, 2018. Article funded by SCOAP3. We thank Shu-Heng Shao for collaboration at the early stage of this work. We would also like to thank Chris Beem, Ying-Hsuan Lin, Kazunobu Maruyoshi and Emily Nardoni for discussions. The work of MF is supported by the David and Ellen Lee Postdoctoral Scholarship and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. The work of JS is supported in part by the Overseas Research Program for Young Scientists through Korea Institute for Advanced Study (KIAS).

Group:

Walter Burke Institute for Theoretical Physics

Funders:

Funding Agency	Grant Number
David and Ellen Lee Postdoctoral Scholarship	UNSPECIFIED
Department of Energy (DOE)	DE-SC0011632
Korea Institute for Advanced Study	UNSPECIFIED
SCOAP3	UNSPECIFIED

Subject Keywords:

Conformal and W Symmetry, Conformal Field Theory, Extended Supersymmetry, Supersymmetric Gauge Theory

Issue or Number:

DOI:

10.1007/JHEP07(2018)073

Record Number:

CaltechAUTHORS:20180712-134659218

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20180712-134659218

Official Citation:

Fluder, M. & Song, J. J. High Energ. Phys. (2018) 2018: 73. https://doi.org/10.1007/JHEP07(2018)073

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

87810

Collection:

CaltechAUTHORS

Deposited By:

George Porter

Deposited On:

13 Jul 2018 14:53

Last Modified:

15 Nov 2021 20:52

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