Fermionic coset, critical level W (2) 4-algebra and higher spins

Creutzig T, Gao P, Linshaw AR (2012)

Publication Type: Journal article

Publication year: 2012

Journal

Journal of High Energy Physics Springer Verlag (Germany) / Institute of Physics / Scuola Internazionale Superiore di Studi Avanzati (SISSA)

Book Volume: 2012

Article Number: 031

Journal Issue: 4

DOI: 10.1007/JHEP04(2012)031

Abstract

The fermionic coset is a limit of the pure spinor formulation of the AdS 5×S 5 sigma model as well as a limit of a nonlinear topological A-model, introduced by Berkovits. We study the latter, especially its symmetries, and map them to higher spin algebras. We show the following. The linear A-model possesses affine cpgl (4/4) 0 symmetry at critical level and its cpsl (4/4) 0 current-current perturbation is the nonlinear model. We find that the perturbation preserves W (2) 4 -algebra symmetry at critical level. There is a topological algebra associated to cpgl (4/4) 0 with the properties that the perturbation is BRST-exact. Further, the BRST-cohomology contains world-sheet supersymmetric symplectic fermions and the non-trivial generators of the W (2) 4 -algebra. The Zhu functor maps the linear model to a higher spin theory. We analyze its psl (4/4) action and find finite dimensional short multiplets.© 2012 SISSA.

Involved external institutions

Technische Universität Darmstadt DE Germany (DE) State University of New York at Albany (UNY Albany / UAlbany) US United States (USA) (US) Brandeis University US United States (USA) (US)

How to cite

APA:

Creutzig, T., Gao, P., & Linshaw, A.R. (2012). Fermionic coset, critical level W (2) 4-algebra and higher spins. Journal of High Energy Physics, 2012(4). https://doi.org/10.1007/JHEP04(2012)031

MLA:

Creutzig, Thomas, Peng Gao, and Andrew R. Linshaw. "Fermionic coset, critical level W (2) 4-algebra and higher spins." Journal of High Energy Physics 2012.4 (2012).

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