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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.

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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:
URLURL TypeDescription Paper
Fluder, Martin0000-0002-0780-8550
Song, Jaewon0000-0002-1238-2435
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
Funding AgencyGrant Number
David and Ellen Lee Postdoctoral ScholarshipUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Korea Institute for Advanced StudyUNSPECIFIED
Subject Keywords:Conformal and W Symmetry, Conformal Field Theory, Extended Supersymmetry, Supersymmetric Gauge Theory
Issue or Number:7
Record Number:CaltechAUTHORS:20180712-134659218
Persistent URL:
Official Citation:Fluder, M. & Song, J. J. High Energ. Phys. (2018) 2018: 73.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87810
Deposited By: George Porter
Deposited On:13 Jul 2018 14:53
Last Modified:15 Nov 2021 20:52

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