000191862 001__ 191862
000191862 005__ 20211110125432.0
000191862 0247_ $$2arXiv$$aarXiv:1408.6838
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000191862 037__ $$aPUBDB-2014-04050
000191862 0881_ $$aDESY-14-151; arXiv:1408.6838
000191862 088__ $$2DESY$$aDESY-14-151
000191862 088__ $$2arXiv$$aarXiv:1408.6838
000191862 1001_ $$0P:(DE-H253)PIP1019541$$aCagnazzo, Alessandra$$b0$$eCorresponding Author$$udesy
000191862 245__ $$aOn the Spectrum of Superspheres
000191862 260__ $$c2014
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000191862 520__ $$aSigma 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.
000191862 536__ $$0G:(DE-HGF)POF2-514$$a514 - Theoretical Particle Physics (POF2-514)$$cPOF2-514$$fPOF II$$x0
000191862 536__ $$0G:(EU-Grant)317089$$aGATIS - Gauge Theory as an Integrable System (317089)$$c317089$$fFP7-PEOPLE-2012-ITN$$x1
000191862 588__ $$aDataset connected to INSPIRE
000191862 650_7 $$2INSPIRE$$asigma model: conformal
000191862 650_7 $$2INSPIRE$$azero mode: spectrum
000191862 650_7 $$2INSPIRE$$aoperator: vertex
000191862 650_7 $$2INSPIRE$$agradient: high
000191862 650_7 $$2INSPIRE$$aoperator: BPS
000191862 650_7 $$2INSPIRE$$afield theory: conformal
000191862 650_7 $$2INSPIRE$$aGross-Neveu model
000191862 650_7 $$2INSPIRE$$acoset space
000191862 650_7 $$2INSPIRE$$aduality
000191862 650_7 $$2INSPIRE$$aWess-Zumino-Witten model
000191862 650_7 $$2INSPIRE$$aAdS/CFT correspondence
000191862 650_7 $$2INSPIRE$$aanomalous dimension
000191862 650_7 $$2INSPIRE$$asuperspace
000191862 65020 $$2Author$$aSupersymmetry and Duality 
000191862 65020 $$2Author$$aSuperspaces 
000191862 65020 $$2Author$$aConformal and W Symmetry 
000191862 65020 $$2Author$$aSigma Models 
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000191862 7001_ $$0P:(DE-H253)PIP1004538$$aSchomerus, Volker$$b1$$udesy
000191862 7001_ $$0P:(DE-H253)PIP1015709$$aTlapak, Vaclav$$b2$$udesy
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000191862 9132_ $$0G:(DE-HGF)POF3-611$$1G:(DE-HGF)POF3-610$$2G:(DE-HGF)POF3-600$$aDE-HGF$$bForschungsbereich Materie$$lMaterie und Universum$$vFundamental Particles and Forces $$x0
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000191862 9141_ $$y2014
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