The Heat Kernel on AdS(3) and its Applications
Nov, 2009
46 pages
Published in:
- JHEP 04 (2010) 125
e-Print:
- 0911.5085 [hep-th]
Report number:
- HRI-ST-0922
View in:
Citations per year
Abstract: (arXiv)
We derive the heat kernel for arbitrary tensor fields on S^3 and (Euclidean) AdS_3 using a group theoretic approach. We use these results to also obtain the heat kernel on certain quotients of these spaces. In particular, we give a simple, explicit expression for the one loop determinant for a field of arbitrary spin s in thermal AdS_3. We apply this to the calculation of the one loop partition function of N=1 supergravity on AdS_3. We find that the answer factorizes into left- and right-moving super Virasoro characters built on the SL(2, C) invariant vacuum, as argued by Maloney and Witten on general grounds.- AdS-CFT Correspondence
- Classical Theories of Gravity
- Supergravity Models
- field theory: tensor
- space-time: anti-de Sitter
- supergravity: 1
- approximation: heat kernel
- group theory
- partition function
- algebra: Virasoro
References(29)
Figures(0)