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Improving modular bootstrap bounds with integrality
- Source :
- Journal of High Energy Physics, Vol 2024, Iss 7, Pp 1-17 (2024)
- Publication Year :
- 2024
- Publisher :
- SpringerOpen, 2024.
-
Abstract
- Abstract We propose methods that efficiently impose integrality — i.e., the condition that the coefficients of characters in the partition function must be integers — into numerical modular bootstrap. We demonstrate the method with a number of examples where it can be used to strengthen modular bootstrap results. First, we show that, with a mild extra assumption, imposing integrality improves the bound on the maximal allowed gap in dimensions of operators in theories with a U(1) c symmetry at c = 3, and reduces it to the value saturated by the SU(4)1 WZW model point of c = 3 Narain lattices moduli space. Second, we show that our method can be used to eliminate all but a discrete set of points saturating the bound from previous Virasoro modular bootstrap results. Finally, when central charge is close to 1, we can slightly improve the upper bound on the scaling dimension gap.
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2024
- Issue :
- 7
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.462b7cc26b604176af1045f4d92f5c3f
- Document Type :
- article
- Full Text :
- https://doi.org/10.1007/JHEP07(2024)058