A spin chain for the symmetric product CFT2

Ari Pakman; Leonardo Rastelli; Shlomo S. Razamat

doi:10.1007/JHEP05(2010)099

A spin chain for the symmetric product CFT₂

Ari Pakman
, Leonardo Rastelli
, Shlomo S. Razamat

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

68 Scopus citations

Abstract

We consider "gauge invariant" operators in Sym^N T ⁴, the symmetric product orbifold of N copies of the 2d supersymmetric sigma model with T⁴ target. We discuss a spin chain representation for single-cycle operators and study their two point functions at large N. We perform systematic calculations at the orbifold point ("tree level"), where non-trivial mixing is already present, and some sample calculations to first order in the blow-up mode of the orbifold ("one loop").

Original language	English
Article number	99
Journal	Journal of High Energy Physics
Volume	2010
Issue number	5
DOIs	https://doi.org/10.1007/JHEP05(2010)099
State	Published - 1 Jan 2010
Externally published	Yes

Keywords

AdS-CFT correspondence
Field theories in lower dimensions
Integrable field theories

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP05(2010)099

Cite this

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title = "A spin chain for the symmetric product CFT2",

abstract = "We consider {"}gauge invariant{"} operators in SymN T 4, the symmetric product orbifold of N copies of the 2d supersymmetric sigma model with T4 target. We discuss a spin chain representation for single-cycle operators and study their two point functions at large N. We perform systematic calculations at the orbifold point ({"}tree level{"}), where non-trivial mixing is already present, and some sample calculations to first order in the blow-up mode of the orbifold ({"}one loop{"}).",

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AB - We consider "gauge invariant" operators in SymN T 4, the symmetric product orbifold of N copies of the 2d supersymmetric sigma model with T4 target. We discuss a spin chain representation for single-cycle operators and study their two point functions at large N. We perform systematic calculations at the orbifold point ("tree level"), where non-trivial mixing is already present, and some sample calculations to first order in the blow-up mode of the orbifold ("one loop").

KW - AdS-CFT correspondence

KW - Field theories in lower dimensions

KW - Integrable field theories

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DO - 10.1007/JHEP05(2010)099

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