001     191862
005     20211110125432.0
024 7 _ |a arXiv:1408.6838
|2 arXiv
024 7 _ |a altmetric:2642777
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024 7 _ |a inspire:1312998
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037 _ _ |a PUBDB-2014-04050
088 1 _ |a DESY-14-151; arXiv:1408.6838
088 _ _ |a DESY-14-151
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088 _ _ |a arXiv:1408.6838
|2 arXiv
100 1 _ |a Cagnazzo, Alessandra
|0 P:(DE-H253)PIP1019541
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|e Corresponding Author
|u desy
245 _ _ |a On the Spectrum of Superspheres
260 _ _ |c 2014
336 7 _ |a preprint
|2 DRIVER
336 7 _ |a Electronic Article
|0 28
|2 EndNote
336 7 _ |a Preprint
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336 7 _ |a ARTICLE
|2 BibTeX
336 7 _ |a Internal Report
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520 _ _ |a 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 $ \frac{1}{2}\mathrm{B}\mathrm{P}\mathrm{S} $ 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.
536 _ _ |a 514 - Theoretical Particle Physics (POF2-514)
|0 G:(DE-HGF)POF2-514
|c POF2-514
|f POF II
|x 0
536 _ _ |a GATIS - Gauge Theory as an Integrable System (317089)
|0 G:(EU-Grant)317089
|c 317089
|f FP7-PEOPLE-2012-ITN
|x 1
588 _ _ |a Dataset connected to INSPIRE
650 _ 7 |a sigma model: conformal
|2 INSPIRE
650 _ 7 |a zero mode: spectrum
|2 INSPIRE
650 _ 7 |a operator: vertex
|2 INSPIRE
650 _ 7 |a gradient: high
|2 INSPIRE
650 _ 7 |a operator: BPS
|2 INSPIRE
650 _ 7 |a field theory: conformal
|2 INSPIRE
650 _ 7 |a Gross-Neveu model
|2 INSPIRE
650 _ 7 |a coset space
|2 INSPIRE
650 _ 7 |a duality
|2 INSPIRE
650 _ 7 |a Wess-Zumino-Witten model
|2 INSPIRE
650 _ 7 |a AdS/CFT correspondence
|2 INSPIRE
650 _ 7 |a anomalous dimension
|2 INSPIRE
650 _ 7 |a superspace
|2 INSPIRE
650 2 0 |a Supersymmetry and Duality
|2 Author
650 2 0 |a Superspaces
|2 Author
650 2 0 |a Conformal and W Symmetry
|2 Author
650 2 0 |a Sigma Models
|2 Author
693 _ _ |0 EXP:(DE-MLZ)NOSPEC-20140101
|5 EXP:(DE-MLZ)NOSPEC-20140101
|e No specific instrument
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700 1 _ |a Schomerus, Volker
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700 1 _ |a Tlapak, Vaclav
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856 4 _ |y Restricted
856 4 _ |u https://bib-pubdb1.desy.de/record/191862/files/PUBDB-2014-04050.pdf
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910 1 _ |a Deutsches Elektronen-Synchrotron
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910 1 _ |a Deutsches Elektronen-Synchrotron
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910 1 _ |a Deutsches Elektronen-Synchrotron
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913 2 _ |a DE-HGF
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913 1 _ |a DE-HGF
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914 1 _ |y 2014
915 _ _ |a OpenAccess
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915 _ _ |a Published
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920 1 _ |0 I:(DE-H253)T-20120731
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980 _ _ |a preprint
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980 _ _ |a I:(DE-H253)T-20120731
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980 1 _ |a FullTexts


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