Quantum current algebra for the AdS 5 × S 5 superstring

O. A. Bedoya; D. Z. Marchioro; D. L. Nedel; B. Carlini Vallilo

doi:10.1007/JHEP08(2010)026

Quantum current algebra for the AdS ₅ × S ⁵ superstring

O. A. Bedoya, D. Z. Marchioro, D. L. Nedel, B. Carlini Vallilo

Exact Sciences School

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

The sigma model describing the dynamics of the superstring in the AdS ₅ ×S ⁵ background can be constructed using the coset PSU(2, 2|4)/SO(4, 1) ×SO(5). A basic set of operators in this two dimensional conformal field theory is composed by the left invariant currents. Since these currents are not (anti) holomorphic, their OPE's is not determined by symmetry principles and its computation should be performed perturbatively. Using the pure spinor sigma model for this background, we compute the one-loop correction to these OPE's. We also compute the OPE's of the left invariant currents with the energy momentum tensor at tree level and one loop.

Original language	English
Article number	26
Journal	Journal of High Energy Physics
Volume	2010
Issue number	8
DOIs	https://doi.org/10.1007/JHEP08(2010)026
Publication status	Published - 2010

Keywords

AdS-CFT Correspondence
Conformal Field Models in String Theory

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP08(2010)026

Cite this

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title = "Quantum current algebra for the AdS 5 × S 5 superstring",

abstract = "The sigma model describing the dynamics of the superstring in the AdS 5 ×S 5 background can be constructed using the coset PSU(2, 2|4)/SO(4, 1) ×SO(5). A basic set of operators in this two dimensional conformal field theory is composed by the left invariant currents. Since these currents are not (anti) holomorphic, their OPE's is not determined by symmetry principles and its computation should be performed perturbatively. Using the pure spinor sigma model for this background, we compute the one-loop correction to these OPE's. We also compute the OPE's of the left invariant currents with the energy momentum tensor at tree level and one loop.",

keywords = "AdS-CFT Correspondence, Conformal Field Models in String Theory",

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T1 - Quantum current algebra for the AdS 5 × S 5 superstring

AU - Bedoya, O. A.

AU - Marchioro, D. Z.

AU - Nedel, D. L.

AU - Carlini Vallilo, B.

PY - 2010

Y1 - 2010

N2 - The sigma model describing the dynamics of the superstring in the AdS 5 ×S 5 background can be constructed using the coset PSU(2, 2|4)/SO(4, 1) ×SO(5). A basic set of operators in this two dimensional conformal field theory is composed by the left invariant currents. Since these currents are not (anti) holomorphic, their OPE's is not determined by symmetry principles and its computation should be performed perturbatively. Using the pure spinor sigma model for this background, we compute the one-loop correction to these OPE's. We also compute the OPE's of the left invariant currents with the energy momentum tensor at tree level and one loop.

AB - The sigma model describing the dynamics of the superstring in the AdS 5 ×S 5 background can be constructed using the coset PSU(2, 2|4)/SO(4, 1) ×SO(5). A basic set of operators in this two dimensional conformal field theory is composed by the left invariant currents. Since these currents are not (anti) holomorphic, their OPE's is not determined by symmetry principles and its computation should be performed perturbatively. Using the pure spinor sigma model for this background, we compute the one-loop correction to these OPE's. We also compute the OPE's of the left invariant currents with the energy momentum tensor at tree level and one loop.

KW - AdS-CFT Correspondence

KW - Conformal Field Models in String Theory

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DO - 10.1007/JHEP08(2010)026

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