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A bstract In this paper, we continue the study of Janus and RG-flow interfaces in three dimensional supergravity continuing the work presented in [1]. We consider $$ \mathcal{N} $$ N = 8 gauged supergravity theories which have a $$ \mathcal{N} $$ N = (4 , 4) AdS 3 vacuum with D 1 (2 , 1; α ) × D 1 (2 , 1; α ) symmetry for general α . We derive the BPS flow equations and find numerical solutions. Some holographic quantities such as the entanglement entropy are calculated.
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The $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy
A bstract We study the mass-deformed sphere free energy of three-dimensional $$ \mathcal{N} $$ N = 2 superconformal field theories with holographic duals. Building on previous observations, we conjecture a proportionality relation between the sphere free energy on the boundary and the prepotential of the four-dimensional $$ \mathcal{N} $$ N = 2 supergravity theory in the bulk. We verify this formula by explicit computation in several examples of supergravity theories with vector multiplets and hypermultiplets.
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- Award ID(s):
- 2111977
- PAR ID:
- 10348505
- Date Published:
- Journal Name:
- Journal of High Energy Physics
- Volume:
- 2022
- Issue:
- 6
- ISSN:
- 1029-8479
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
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Accepted Manuscript
- Journal Article:
- https://doi.org/10.1007/JHEP06(2022)045
