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

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arxiv hep-th/0001204 v3 pith:SH4IYIX3 submitted 2000-01-28 hep-th

Nadav Drukker , David J. Gross , Arkady Tseytlin This is my paper · ORCID
classification hep-th
keywords functionpartitionstringexamplefirstgreen-schwarzsemiclassicalapproach
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 6 Pith papers

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