String Lessons for Higher-Spin Interactions

By A. Sagnotti, M. Taronna. 2010

231 citations recorded by the source corpus.

Abstract String Theory includes a plethora of higher-spin excitations, which clearly lie behind its most spectacular properties, but whose detailed behavior is largely unknown. Conversely, string interactions contain much useful information on higher-spin couplings, which can be very valuable in current attempts to characterize their systematics. We present a simplified form for the three-point (and four-point) amplitudes of the symmetric tensors belonging to the first Regge trajectory of the open bosonic string and relate them to local couplings and currents. These include the cases first discussed, from a field theory perspective, by Berends, Burgers and van Dam, and generalize their results in a suggestive fashion along lines recently explored by Boulanger, Metsaev and others. We also comment on the recovery of gauge symmetry in the low-tension limit, on the current-exchange amplitudes that can be built from these couplings and on the extension to mixed-symmetry states.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4bde6971613366ddee952ed09c38cc7f3346ceda

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Citations in the corpus

Towards metric-like higher spin gauge theories in three dimensions (2012, background): “…a classification of cubic vertices for 1751-8113/13/214017+21$33.00 © 2013 IOP Publishing Ltd Printed in the UK & the USA 1 arbitrary massless particles in both Minkowski and (A)dS backgrounds of dimension D 4 [6–10].1 On the other hand, a complete metric-like reformulation of Vasiliev’s equations…”
Quartic AdS interactions in higher-spin gravity from Conformal Field Theory (2015, background): “[2–26], which in particular gives a complete classification of local cubic interactions in any dimensions [10].”
Nonlinear W∞ as asymptotic symmetry of three-dimensional higher spin AdS gravity (2010, background): “If so, the HS gauge fields would become massive at large but finite string mass scale [40].”
Cubic interactions of massless higher spins in (A)dS: Metric-like approach (2011, methodology): “In this appendix, we briefly discuss how the TT constraints can be forgone in a systematic fashion [44, 47].”
Towards integrability for AdS 3 / CFT 2 ?> (2014, background): “This may lead to a more quantitative understanding of the tensionless limit—at least at the level of the free string spectrum—adding to the recent progresses in flat space [249] and in the context of AdS4/CFT3 [250].”
How higher-spin gravity surpasses the spin-two barrier (2010, background): “Recently, motivated by the similarities between open string theory and higher-spin gravities mainly at the level free fields [24, 25], Sagnotti and Taronna [26] have deconstructed its first Regge trajectory and arrived at the germs of the non-abelian interactions for massless totally symmetric tenso”
Elements of Vasiliev theory (2014, background): “Particularly, we do not discuss questions on the structure of higher-spin cubic vertices, string inspired, [44–46], and BRST-type formulations [47–50].”
On the uniqueness of higher-spin symmetries in AdS and CFT (2013, background): “[20, 28, 35–37] and further comments below.”
Effective action in a higher-spin background (2010, background): “[3–5] and refs therein for some recent works).”
On the tensionless limit of string theory, off-shell higher spin interaction vertices and BCFW recursion relations (2010, methodology): “One of the aims of the present paper is to demonstrate how one can construct vertices which describe a consistent cubic interaction of massless bosonic Higher Spin fields, serving as an off –shell completion of the on –shell vertex derived in [20].”