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Rényi entropy with surface defects in six dimensions.
- Source :
-
Journal of High Energy Physics . Mar2024, Vol. 2024 Issue 3, p1-14. 14p. - Publication Year :
- 2024
-
Abstract
- We compute the surface defect contribution to Rényi entropy and supersymmetric Rényi entropy in six dimensions. We first compute the surface defect contribution to Rényi entropy for free fields, which verifies a previous formula about entanglement entropy with surface defect. Using conformal map to S β 1 × H d − 1 we develop a heat kernel approach to compute the defect contribution to Rényi entropy, which is applicable for p-dimensional defect in general d-dimensional free fields. Using the same geometry S β 1 × H 5 with an additional background field, one can construct the supersymmetric refinement of the ordinary Rényi entropy for six-dimensional (2, 0) theories. We find that the surface defect contribution to supersymmetric Rényi entropy has a simple scaling as polynomial of Rényi index in the large N limit. We also discuss how to connect the free field results and large N results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RENYI'S entropy
*SURFACE defects
*TOPOLOGICAL entropy
*CONFORMAL mapping
Subjects
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2024
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 176657997
- Full Text :
- https://doi.org/10.1007/JHEP03(2024)031