The covariant chiral ring

Antoine Bourget; Jan Troost

doi:10.1007/JHEP03(2016)163

The covariant chiral ring

Antoine Bourget
, Jan Troost

Center for Atomic-scale Materials Physics (CAMP)

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

2 Citations (Scopus)

Abstract

Abstract: We construct a covariant generating function for the spectrum of chiral primaries of symmetric orbifold conformal field theories with N = (4, 4) supersymmetry in two dimensions. For seed target spaces K3 and T⁴, the generating functions capture the SO(21) and SO(5) representation theoretic content of the chiral ring respectively. Via string dualities, we relate the transformation properties of the chiral ring under these isometries of the moduli space to the Lorentz covariance of perturbative string partition functions in flat space.

Original language	English
Article number	163
Journal	Journal of High Energy Physics
Volume	2016
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2016)163
Publication status	Published - 1 Mar 2016
Externally published	Yes

Keywords

AdS-CFT Correspondence
Conformal Field Models in String Theory
String Duality

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10.1007/JHEP03(2016)163

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abstract = "Abstract: We construct a covariant generating function for the spectrum of chiral primaries of symmetric orbifold conformal field theories with N = (4, 4) supersymmetry in two dimensions. For seed target spaces K3 and T4, the generating functions capture the SO(21) and SO(5) representation theoretic content of the chiral ring respectively. Via string dualities, we relate the transformation properties of the chiral ring under these isometries of the moduli space to the Lorentz covariance of perturbative string partition functions in flat space.",

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N2 - Abstract: We construct a covariant generating function for the spectrum of chiral primaries of symmetric orbifold conformal field theories with N = (4, 4) supersymmetry in two dimensions. For seed target spaces K3 and T4, the generating functions capture the SO(21) and SO(5) representation theoretic content of the chiral ring respectively. Via string dualities, we relate the transformation properties of the chiral ring under these isometries of the moduli space to the Lorentz covariance of perturbative string partition functions in flat space.

AB - Abstract: We construct a covariant generating function for the spectrum of chiral primaries of symmetric orbifold conformal field theories with N = (4, 4) supersymmetry in two dimensions. For seed target spaces K3 and T4, the generating functions capture the SO(21) and SO(5) representation theoretic content of the chiral ring respectively. Via string dualities, we relate the transformation properties of the chiral ring under these isometries of the moduli space to the Lorentz covariance of perturbative string partition functions in flat space.

KW - AdS-CFT Correspondence

KW - Conformal Field Models in String Theory

KW - String Duality

UR - https://www.scopus.com/pages/publications/84962476377

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DO - 10.1007/JHEP03(2016)163

M3 - Article

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SN - 1126-6708

VL - 2016

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 3

M1 - 163

ER -

The covariant chiral ring

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Keywords

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