Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-09-11
Phys.Rev.D80:046007,2009
Physics
High Energy Physics
High Energy Physics - Theory
Typos fixed, in Revtex 32 pages, version to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.80.046007
We examine the one-loop partition function describing the fluctuations of the superstring in a Schwarzschild-AdS$_5\times S^5$ background. On the bosonic side, we demonstrate the one-loop equivalence of the Nambu-Goto action and the Polyakov action for a general worldsheet, while on the fermionic side, we consider the reduction of the ten-dimensional Green-Schwarz fermion action to a two-dimensional worldsheet action. We derive the partition functions of the worldsheets corresponding to both straight and parallel Wilson lines. We show that the UV divergences of the functional determinants in the thermal AdS background are canceled.
Hou De-fu
Liu James T.
Ren Hai-cang
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