AdS3 Partition Functions Reconstructed
نویسنده
چکیده
For pure gravity in AdS3, Witten has given a recipe for the construction of holomorphically factorizable partition functions of pure gravity theories with central charge c = 24k. The partition function was found to be a polynomial in the modular invariant j-function. We show that the partition function can be obtained instead as a modular sum which has a more physical interpretation as a sum over geometries. We express both the j-function and its derivative in terms of such a sum.
منابع مشابه
Partition functions and elliptic genera from supergravity
We develop the spacetime aspects of the computation of partition functions for string/M-theory on AdS3 × M . Subleading corrections to the semi-classical result are included systematically, laying the groundwork for comparison with CFT partition functions via the AdS3/CFT2 correspondence. This leads to a better understanding of the “Farey tail” expansion of Dijkgraaf et. al. from the point of v...
متن کاملZeta Function Expression of Spin Partition Functions on Thermal AdS3
We find a Selberg zeta function expression of certain one-loop spin partition functions on three-dimensional thermal anti-de Sitter space. Of particular interest is the partition function of higher spin fermionic particles. We also set up, in the presence of spin, a Patterson-type formula involving the logarithmic derivative of zeta.
متن کاملAdS3 Gravitational Instantons from Conformal Field Theory
A conformal field theory on the boundary of three-dimensional asymptotic anti-de Sitter spaces which appear as near horizon geometry of D-brane bound states is discussed. It is shown that partition functions of gravitational instantons appear as high and low temperature limits of the partition function of the conformal field theory. The result reproduces phase transition between the anti-de Sit...
متن کاملString Theory on AdS3/ZN
We study string theory on singular ZN quotients of AdS3, corresponding to spaces with conical defects. The spectrum is computed using the orbifold procedure. It is shown that spectral flow may be used to generate the twisted sectors. We further compute the thermal partition function and show that it correctly reproduces the spectrum.
متن کاملCHERN–SIMONS GAUGE THEORY AND THE AdS3/CFT2 CORRESPONDENCE
The bulk partition function of pure Chern–Simons theory on a three-manifold is a state in the space of conformal blocks of the dual boundary RCFT, and therefore transforms non-trivially under the boundary modular group. In contrast the bulk partition function of AdS3 string theory is the modular-invariant partition function of the dual CFT on the boundary. This is a puzzle because AdS3 string t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008