Four-dimensional lens space index from two-dimensional chiral algebra
Creators
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1.
California Institute of Technology
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2.
Korea Institute for Advanced Study
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3.
University of California, San Diego
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.
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).Attached Files
Published - Fluder-Song2018_Article_Four-dimensionalLensSpaceIndex.pdf
Submitted - 1710.06029
Files
Fluder-Song2018_Article_Four-dimensionalLensSpaceIndex.pdf
Additional details
Identifiers
- Eprint ID
- 87810
- Resolver ID
- CaltechAUTHORS:20180712-134659218
Related works
- Describes
- http://arxiv.org/abs/1710.06029 (URL)
Funding
- David and Ellen Lee Postdoctoral Scholarship
- Department of Energy (DOE)
- DE-SC0011632
- Korea Institute for Advanced Study
- SCOAP3
Dates
- Created
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2018-07-13Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Walter Burke Institute for Theoretical Physics