Exact computation of one-loop correction to energy of spinning folded string in AdS5 x S5

Abstract

We consider the 1-loop correction to the energy of folded spinning string solution in the AdS3 part of AdS5×S5. The classical string solution is expressed in terms of elliptic functions so an explicit computation of the corresponding fluctuation determinants for generic values of the spin appears to be a non-trivial problem. We show how it can be solved exactly by using the static gauge expression for the string partition function (which we demonstrate to be equivalent to the conformal gauge one) and observing that all the corresponding second order fluctuation operators can be put into the standard (single-gap) Lam ́e form. We systematically derive the small spin and large spin expansions of the resulting expression for the string energy and comment on some of their applications.


Autore Pugliese

Tutti gli autori

  • M. Beccaria , G. V. Dunne , V. Forini , M. Pawellek , A. A. Tseytlin

Titolo volume/Rivista

JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL


Anno di pubblicazione

2010

ISSN

1751-8113

ISBN

Non Disponibile


Numero di citazioni Wos

Nessuna citazione

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Numero di citazioni Scopus

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Settori ERC

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Codici ASJC

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