Wilson loops from supergravity and string theory

J. Sonnenschein*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We present a theorem that determines the value of the Wilson loop associated with a Nambu-Goto action which generalizes the action of the AdS5 × S5 model. In particular, we derive sufficient conditions for confining behaviour. We then apply this theorem to various string models. We go beyond the classical string picture by incorporating quadratic quantum fluctuations. We show that the bosonic determinant of Dp-branes with 16 supersymmetries yields a Lüscher term. We confirm that the free energy associated with a BPS configuration of a single quark is free from divergences. We show that unlike for a string in flat spacetime in the case of AdS5 × S5 the fermionic determinant does not cancel the bosonic one. For a set-up that corresponds to a confining gauge theory the correction to the potential is attractive. We determine the form of the Wilson loop for actions that include non-trivial Bμν field. The issue of an exact determination of the value of the stringy Wilson loop is discussed.

Original languageEnglish
Pages (from-to)1257-1266
Number of pages10
JournalClassical and Quantum Gravity
Issue number5
StatePublished - 7 Mar 2000


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