2012

On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background

Dempster, Paul, Tsulaia, Mirian

Understand

We consider in detail the structure of quartic vertices for massless higher spin fields on Minkowski background, and study the consistency conditions imposed on cubic and quartic interactions by symmetries of the S--matrix.

We discuss the possibility of generalizing the construction of quartic vertices to D-dimensional anti-de Sitter space.

Built on

D. E. Knuth and T. J. Buckholtz, “Computation of Tangent, Euler and Bernoulli Numbers,” Math. Comput 21
1967
Earlier work this paper cites.
M. Abramowitz and I .A. Stegun, (Eds.). “Stirling Numbers of the First Kind.” §24.1.3 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 824, 1972
1972
Earlier work this paper cites.
F. A. Berends, G. J. H. Burgers and H. van Dam, “Explicit Construction Of Conserved Currents For Massless Fields Of Arbitrary Spin,” Nucl. Phys. B 271
1986
Earlier work this paper cites.
I. G. Koh and S. Ouvry, “Interacting Gauge Fields Of Any Spin And Symmetry,” Phys. Lett. B 179
1987
Earlier work this paper cites.
A. K. H. Bengtsson, “BRST approach to interacting higher spin gauge fileds,” Class. Quant. Grav. 5
1988
Earlier work this paper cites.
A. Pashnev and M. Tsulaia, “Description of the higher massless irreducible integer spins in the BRST approach,” Mod. Phys. Lett. A 13
1998
Earlier work this paper cites.
R. R. Metsaev, “Arbitrary spin massless bosonic fields in d-dimensional anti-de Sitter space,” [ arXiv:hep-th/9810231], R. R. Metsaev, “Fermionic fields in the d-dimensional anti-de Sitter spacetime,” Phys. Lett. B 419
1998
Earlier work this paper cites.
M. A. Vasiliev, “Cubic interactions of bosonic higher spin gauge fields in AdS(5),” Nucl. Phys. B616
2001
Earlier work this paper cites.
I. L. Buchbinder, A. Pashnev, M. Tsulaia, “Lagrangian formulation of the massless higher integer spin fields in the AdS background,” Phys. Lett. B523
2001
Earlier work this paper cites.
D. Francia and A. Sagnotti, “On the geometry of higher-spin gauge fields,” Class. Quant. Grav. 20
2003
Earlier work this paper cites.
M. A. Vasiliev, “Consistent Equation For Interacting Gauge Fields Of All Spins In (3+1)-Dimensions,” Phys. Lett. B 243
2003
Earlier work this paper cites.
K. B. Alkalaev, M. A. Vasiliev, “N=1 supersymmetric theory of higher spin gauge fields in AdS(5) at the cubic level,” Nucl. Phys. B655
2003
Earlier work this paper cites.
M. A. Vasiliev, “Higher spin gauge theories in various dimensions,” Fortsch. Phys. 52
2004
Earlier work this paper cites.
A. Sagnotti and M. Tsulaia, “On higher spins and the tensionless limit of string theory,” Nucl. Phys. B 682
2004
Earlier work this paper cites.
D. Sorokin, “Introduction to the classical theory of higher spins,” AIP Conf. Proc. 767
2005
Earlier work this paper cites.

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