Report/Journal Article

PUBDB-2015-01777

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png On the Spectrum of Superspheres

Cagnazzo, A. (Corresponding Author)DESY* ; Schomerus, V.DESY* ; Tlapak, V.DESY*

2015
Springer Berlin

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Please use a persistent id in citations: doi:10.1007/JHEP03(2015)013  doi:10.3204/PUBDB-2015-01777

Report No.: DESY-14-151; arXiv:1408.6838

Abstract: Sigma models on coset superspaces, such as odd dimensional superspheres, play an important role in physics and in particular the AdS/CFT correspondence. In this work we apply recent general results on the spectrum of coset space models and on supergroup WZNW models to study the conformal sigma model with target space S^{3|2}. We construct its vertex operators and provide explicit formulas for their anomalous dimensions, at least to leading order in the sigma model coupling. The results are used to revisit a non-perturbative duality between the supersphere and the OSP(4|2) Gross-Neveu model that was conjectured by Candu and Saleur. With the help of powerful all-loop results for 1/2 BPS operators in the Gross-Neveu model we are able to recover the entire zero mode spectrum of the sigma model at a certain finite value of the Gross-Neveu coupling. In addition, we argue that the sigma model constraints and equations of motion are implemented correctly in the dual Gross-Neveu description. On the other hand, high(er) gradient operators of the sigma model are not all accounted for. It is possible that this discrepancy is related to an instability from high gradient operators that has previously been observed in the context of Anderson localization.

Note: OA

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
2. GATIS - Gauge Theory as an Integrable System (317089) (317089)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2015

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Database coverage:
; ; Current Contents - Physical, Chemical and Earth Sciences ; IF >= 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint/Internal Report Cagnazzo, A. (Corresponding Author)DESY* ; Schomerus, V.DESY* ; Tlapak, V.DESY*
On the Spectrum of Superspheres
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