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A generating function for the cubic interactions of higher spin fields · Around

2010

A generating function for the cubic interactions of higher spin fields

Manvelyan, Ruben, Mkrtchyan, Karapet, Ruehl, Werner

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We present an off-shell generating function for all cubic interactions of Higher Spin gauge fields constructed in arXiv:1003.2877.

It is a generalization of the on-shell generating function proposed in arXiv:1006.5242, is written in a very compact way, and turns out to have a remarkable structure.

Built on

C. Fronsdal, “Singletons And Massless, Integral Spin Fields On De Sitter Space (Elementary Particles In A Curved Space Vii),” Phys. Rev. D 20
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E. S. Fradkin and M. A. Vasiliev, “On The Gravitational Interaction Of Massless Higher Spin Fields,” Phys. Lett. B 189
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Earlier work this paper cites.
E. S. Fradkin and M. A. Vasiliev, “Cubic Interaction In Extended Theories Of Massless Higher Spin Fields,” Nucl. Phys. B 291
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T. Damour and S. Deser, “Higher derivative interactions of higher spin gauge fields,” Class. Quant. Grav. 4
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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.
R. Manvelyan and W. Rühl, “Conformal coupling of higher spin gauge fields to a scalar field in AdS(4) and generalized Weyl invariance,” Phys. Lett. B 593
2004
Earlier work this paper cites.

Similar

M. A. Vasiliev, “Higher Spin Gauge Theories in Various Dimensions”, Fortsch. Phys. 52, 702 (2004) [arXiv:hep-th/0401177]. X. Bekaert, S. Cnockaert, C. Iazeolla and M. A. Vasiliev, “Nonlinear higher spin theories in various dimensions”, [arXiv:hep-th/0503128]. D. Sorokin,“Introduction to the Classical Theory of Higher Spins” AIP Conf. Proc. 767, 172 (2005); [arXiv:hep-th/0405069]. N. Bouatta, G. Compere and A. Sagnotti, “An Introduction to Free Higher-Spin Fields”; [arXiv:hep-th/0409068]. Xavier Bekaert, Nicolas Boulanger and Per Sundell, “How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples.” arXiv:1007.0435 [hep-th]
Original
2005
Cited alongside, same era.
R. R. Metsaev, “Cubic interaction vertices for massive and massless higher spin fields,” Nucl. Phys. B 759
Original
2006
Cited alongside, same era.
A. Fotopoulos, N. Irges, A. C. Petkou and M. Tsulaia, “Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex,” JHEP 0710
Original
2006
Cited alongside, same era.
Nicolas Boulanger, Serge Leclercq, Per Sundell, “On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory,” JHEP 0808:056,2008; [arXiv:0805.2764 [hep-th]]

Then

R. Manvelyan, K. Mkrtchyan and W. Rühl, “Off-shell construction of some trilinear higher spin gauge field interactions,” Nucl. Phys. B 826
Original
2010
Closest in time.
R. Manvelyan and K. Mkrtchyan, “Conformal invariant interaction of a scalar field with the higher spin field in A d S D AdS_{D} ,” Mod. Phys. Lett. A 25
Original
2010
Closest in time.
Xavier Bekaert, Nicolas Boulanger and Serge Leclercq, “Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex.” J.Phys.A43:185401,2010. arXiv:1002.0289 [hep-th]
Original
2010
Closest in time.
Yu. M. Zinoviev, “Spin 3 cubic vertices in a frame-like formalism.” JHEP 1008:084,2010; arXiv:1007.0158 [hep-th]
Original
2010
Closest in time.
G. Savvidy, “Connection between non-Abelian tensor gauge fields and open strings,” J. Phys. A 42

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2008

Cited alongside, same era.

R. Manvelyan, K. Mkrtchyan and W. Rühl, “Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization,” Nucl. Phys. B 803

2008

Cited alongside, same era.

R. Manvelyan, K. Mkrtchyan and W. Rühl, ”General trilinear interaction for arbitrary even higher spin gauge fields”, Nucl. Phys. B 836

2010

Cited alongside, same era.

A. Sagnotti, M. Taronna, “String Lessons for Higher-Spin Interactions.” arXiv:1006.5242 [hep-th]

Cited in the paper.

Dimitri Polyakov, “Gravitational Couplings of Higher Spins from String Theory.” arXiv:1005.5512 [hep-th], “Interactions of Massless Higher Spin Fields From String Theory.” arXiv:0910.5338 [hep-th]

Cited in the paper.

A. Fotopoulos and M. Tsulaia, “On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations,” arXiv:1009.0727 [hep-th]

Cited in the paper.

2010

Closest in time.

R. Manvelyan, K. Mkrtchyan and W. Rühl, “Direct construction of a cubic selfinteraction for higher spin gauge fields,” Nucl. Phys. B 844

2011

Closest in time.