Home > Publications database > On the Spectrum of Superspheres > print |
001 | 191862 | ||
005 | 20211110125432.0 | ||
024 | 7 | _ | |a arXiv:1408.6838 |2 arXiv |
024 | 7 | _ | |a altmetric:2642777 |2 altmetric |
024 | 7 | _ | |a inspire:1312998 |2 inspire |
037 | _ | _ | |a PUBDB-2014-04050 |
088 | 1 | _ | |a DESY-14-151; arXiv:1408.6838 |
088 | _ | _ | |a DESY-14-151 |2 DESY |
088 | _ | _ | |a arXiv:1408.6838 |2 arXiv |
100 | 1 | _ | |a Cagnazzo, Alessandra |0 P:(DE-H253)PIP1019541 |b 0 |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 |b preprint |m preprint |0 PUB:(DE-HGF)25 |s 1448872607_24197 |2 PUB:(DE-HGF) |
336 | 7 | _ | |a ARTICLE |2 BibTeX |
336 | 7 | _ | |a Internal Report |0 PUB:(DE-HGF)15 |2 PUB:(DE-HGF) |m intrep |
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 |x 0 |
700 | 1 | _ | |a Schomerus, Volker |0 P:(DE-H253)PIP1004538 |b 1 |u desy |
700 | 1 | _ | |a Tlapak, Vaclav |0 P:(DE-H253)PIP1015709 |b 2 |u desy |
856 | 4 | _ | |y Restricted |
856 | 4 | _ | |u https://bib-pubdb1.desy.de/record/191862/files/PUBDB-2014-04050.pdf |y OpenAccess |
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910 | 1 | _ | |a Deutsches Elektronen-Synchrotron |0 I:(DE-588b)2008985-5 |k DESY |b 0 |6 P:(DE-H253)PIP1019541 |
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913 | 2 | _ | |a DE-HGF |b Forschungsbereich Materie |l Materie und Universum |1 G:(DE-HGF)POF3-610 |0 G:(DE-HGF)POF3-611 |2 G:(DE-HGF)POF3-600 |v Fundamental Particles and Forces |x 0 |
913 | 1 | _ | |a DE-HGF |b Struktur der Materie |l Elementarteilchenphysik |1 G:(DE-HGF)POF2-510 |0 G:(DE-HGF)POF2-514 |2 G:(DE-HGF)POF2-500 |v Theoretical Particle Physics |x 0 |4 G:(DE-HGF)POF |3 G:(DE-HGF)POF2 |
914 | 1 | _ | |y 2014 |
915 | _ | _ | |a OpenAccess |0 StatID:(DE-HGF)0510 |2 StatID |
915 | _ | _ | |a Published |0 StatID:(DE-HGF)0580 |2 StatID |
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980 | _ | _ | |a preprint |
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980 | _ | _ | |a I:(DE-H253)T-20120731 |
980 | _ | _ | |a UNRESTRICTED |
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