The Heat Kernel on AdS(3) and its Applications

Nov, 2009
46 pages
Published in:
  • JHEP 04 (2010) 125
e-Print:
Report number:
  • HRI-ST-0922

Citations per year

20092013201720212024051015
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