Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP07(2018)073
Keywords
Conformal and W Symmetry; Conformal Field Theory; Extended Supersymmetry; Supersymmetric Gauge Theory
Categories
Funding
- David and Ellen Lee Postdoctoral Scholarship
- U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
- Overseas Research Program for Young Scientists through Korea Institute for Advanced Study (KIAS)
- National Research Foundation of Korea [PG060601] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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We study the supersymmetric partition function on S-1 x 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.
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