Free field world-sheet correlators for AdS3

A bstract We employ the free field realisation of the psu 1 1 2 1 world-sheet theory to constrain the correlators of string theory on AdS 3 × S 3 × 𝕋 4 with unit NS-NS flux. In particular, we directly obtain the unusual delta function localisation of these correlators onto branched covers of the bou...

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Vydáno v:	The journal of high energy physics Ročník 2021; číslo 2; s. 1 - 44
Hlavní autoři:	Dei, Andrea, Gaberdiel, Matthias R., Gopakumar, Rajesh, Knighton, Bob
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2021 SpringerOpen
Témata:	AdS-CFT Correspondence Classical and Quantum Gravitation Conformal and W Symmetry Conformal Field Models in String Theory Elementary Particles Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory AdS-CFT Correspondence Conformal and W Symmetry Conformal Field Models in String Theory
ISSN:	1029-8479, 1029-8479
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Abstract	A bstract We employ the free field realisation of the psu 1 1 2 1 world-sheet theory to constrain the correlators of string theory on AdS 3 × S 3 × 𝕋 4 with unit NS-NS flux. In particular, we directly obtain the unusual delta function localisation of these correlators onto branched covers of the boundary S 2 by the (genus zero) world-sheet — this is the key property which makes the equivalence to the dual symmetric orbifold manifest. In our approach, this feature follows from a remarkable ‘incidence relation’ obeyed by the correlators, which is reminiscent of a twistorial string description. We also illustrate our results with explicit computations in various special cases.
AbstractList	A bstract We employ the free field realisation of the psu 1 1 2 1 world-sheet theory to constrain the correlators of string theory on AdS 3 × S 3 × 𝕋 4 with unit NS-NS flux. In particular, we directly obtain the unusual delta function localisation of these correlators onto branched covers of the boundary S 2 by the (genus zero) world-sheet — this is the key property which makes the equivalence to the dual symmetric orbifold manifest. In our approach, this feature follows from a remarkable ‘incidence relation’ obeyed by the correlators, which is reminiscent of a twistorial string description. We also illustrate our results with explicit computations in various special cases. We employ the free field realisation of the $$ \mathfrak{psu}{\left(1,1\left\|2\right.\right)}_1 $$ psu 1 1 2 1 world-sheet theory to constrain the correlators of string theory on AdS 3 × S 3 × 4 with unit NS-NS flux. In particular, we directly obtain the unusual delta function localisation of these correlators onto branched covers of the boundary S 2 by the (genus zero) world-sheet — this is the key property which makes the equivalence to the dual symmetric orbifold manifest. In our approach, this feature follows from a remarkable ‘incidence relation’ obeyed by the correlators, which is reminiscent of a twistorial string description. We also illustrate our results with explicit computations in various special cases. Abstract We employ the free field realisation of the psu 1 1 2 1 $$ \mathfrak{psu}{\left(1,1\left\|2\right.\right)}_1 $$ world-sheet theory to constrain the correlators of string theory on AdS3 × S3 × 𝕋4 with unit NS-NS flux. In particular, we directly obtain the unusual delta function localisation of these correlators onto branched covers of the boundary S2 by the (genus zero) world-sheet — this is the key property which makes the equivalence to the dual symmetric orbifold manifest. In our approach, this feature follows from a remarkable ‘incidence relation’ obeyed by the correlators, which is reminiscent of a twistorial string description. We also illustrate our results with explicit computations in various special cases.
ArticleNumber	81
Author	Gopakumar, Rajesh Gaberdiel, Matthias R. Dei, Andrea Knighton, Bob
Author_xml	– sequence: 1 givenname: Andrea orcidid: 0000-0002-2683-3946 surname: Dei fullname: Dei, Andrea organization: Institut für Theoretische Physik, ETH Zürich – sequence: 2 givenname: Matthias R. orcidid: 0000-0002-6472-9402 surname: Gaberdiel fullname: Gaberdiel, Matthias R. organization: Institut für Theoretische Physik, ETH Zürich – sequence: 3 givenname: Rajesh surname: Gopakumar fullname: Gopakumar, Rajesh organization: International Centre for Theoretical Sciences-TIFR – sequence: 4 givenname: Bob surname: Knighton fullname: Knighton, Bob email: robejr@ethz.ch organization: Institut für Theoretische Physik, ETH Zürich
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Snippet	A bstract We employ the free field realisation of the psu 1 1 2 1 world-sheet theory to constrain the correlators of string theory on AdS 3 × S 3 × 𝕋 4 with... We employ the free field realisation of the $$ \mathfrak{psu}{\left(1,1\left\|2\right.\right)}_1 $$ psu 1 1 2 1 world-sheet theory to constrain the correlators... Abstract We employ the free field realisation of the psu 1 1 2 1 $$ \mathfrak{psu}{\left(1,1\left\|2\right.\right)}_1 $$ world-sheet theory to constrain the...
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SubjectTerms	AdS-CFT Correspondence Classical and Quantum Gravitation Conformal and W Symmetry Conformal Field Models in String Theory Elementary Particles Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory
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Title	Free field world-sheet correlators for AdS3
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