GAUGE INVARIANT LAGRANGIAN FORMULATIONS FOR MIXED-ANTISYMMETRIC FERMIONIC HIGHER SPIN FIELDS

Takata Khiroyuki

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A Lagrangian formulation of irreducible half-integer higher-spin representations of the Poincare algebra with a Young tableaux having two columns is presented based on the BRST approach. Starting from Casimir constraints written by oscillator representation of Poincare algebra, which is the necessary condition of the irreducibility, we find closed higher spin superalgebra. In order to convert all constraints to the first class we introduce four auxiliary oscillators with γ-matrix and use Verma module method. To get nilpotent BRST operators we further introduce ghosts. After using restrictions on spin number and ghost number we construct Lagrangian having gauge symmetry with finite stage of reducibility.

Keywords: higher-spin fields, gauge theories, BRST method, Lagrangian formulation

References:

[1] J. L. Buchbinder, A. A. Reshetnyak, H. Takata, in progress.

[2] M. Fierz, W. Pauli, Proc. R. Soc. London, Ser. A, 173 (1939) 211-232; C. Fronsdal, Phys. Rev. D20 (1979) 848–856.

[3] M. Vasiliev, Fortsch. Phys. 52 (2004) 702-717; I. L. Buchbinder, D. M. Gitman, V. A. Krykhtin, V. D. Pershin, Nucl. Phys. B584 (2000) 615-640; S. Deser, A. Waldron, Phys. Rev. Lett. 87 (2001) 031601; Nucl. Phys. B607 (2001) 577-604; K. Hallowell, A. Waldron, Nucl. Phys. B724 (2005) 453-486.

[4] I. L. Buchbinder, V. A. Krykhtin, Nucl. Phys. B727 (2005) 536–563.

[5] E. S. Fradkin, G. A. Vilkovisky, Phys. Lett. B55 (1975) 224; I. A. Batalin, G. A. Vilkovisky, Phys. Lett. B69 (1977) 309; I. A. Batalin, E. S. Fradkin, Phys. Lett. B128 (1983) 303.

[6] I. L. Buchbinder, V. A. Krykhtin, A. Pashnev, Nucl. Phys. B711 (2005) 367–391; I. L. Buchbinder, V. A. Krykhtin, L. L. Ryskina, H. Takata, hep-th/0603212; I. L. Buchbinder, V. A. Krykhtin, A. A. Reshetnyak, Nucl. Phys. B787 (2007) 211.

[7] I. L. Buchbinder, V. A. Krykhtin, H. Takata, Phys. Lett. B656 (2007) 253-264; P. Yu. Moshin and A. A. Reshetnyak, JHEP10(2007) 040.

[8] I. L. Buchbinder, V. A. Krykhtin, L. L. Ryskina, arXiv:0810.3467; I. L. Buchbinder, V. A. Krykhtin, L. L. Ryskina, Nucl. Phys. B819 (2009) 453-477.

[9] R. R. Metsaev, Phys. Lett. B354 (1995) 78-84.

[10] I. L. Buchbinder, S. M. Kuzenko. Ideas and Methods of Supersymmetry and Supergravity, IOP, (1995).

[11] J. Dixmier, Gauthier-Villars, Paris France (1974).

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Issue: 12, 2014

Series of issue: Issue 12

Pages: 243 — 248

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