Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function

Details Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function

2000-01-28

arxiv.org/abs/hep-th/0001204v3

JHEP 0004:021,2000

Physics

High Energy Physics

High Energy Physics - Theory

61 pages, harvmac, minor changes

Scientific paper

10.1088/1126-6708/2000/04/021

A systematic approach to the study of semiclassical fluctuations of strings in AdS_5 x S^5 based on the Green-Schwarz formalism is developed. We show that the string partition function is well defined and finite. Issues related to different gauge choices are clarified. We consider explicitly several cases of classical string solutions with the world surface ending on a line, on a circle or on two lines on the boundary of AdS. The first example is a BPS object and the partition function is one. In the third example the determinants we derive should give the first corrections to the Wilson loop expectation value in the strong coupling expansion of the n=4 SYM theory at large N.

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