BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields

By R. R. Metsaev. 2005

323 citations recorded by the source corpus.

Abstract Using BRST-BV formulation of relativistic dynamics, we study arbitrary spin massive and massless fields propagating in flat space. Generating functions of gauge invariant off-shell cubic interaction vertices for mixed-symmetry and totally symmetric fields are obtained. For the case of totally symmetric fields, we derive restrictions on the allowed values of spins and the number of derivatives which provide a classification of cubic interaction vertices for such fields. As by product, we present simple expressions for the Yang–Mills and gravitational interactions of massive totally symmetric arbitrary spin fields.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/bdb26ef872db569e50522bc040b8ddd2acaf6419

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In Nuclear and High Energy Physics

Citations in the corpus

Higher spins in AdS5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT (2014, unknown): “Cubic interactions of mixed-symmetry higher spin fields in flat space were studied in [105] and in AdS5 they were considered in [106, 98, 107, 89, 108, 109].”
Higher spin interactions in four-dimensions: Vasiliev versus Fronsdal (2015, background): “At least at the level of the cubic action it is known that given three spins there is a finite number of cubic vertices with the number of derivatives bounded by the sum of the spins [21].”
On the uniqueness of higher-spin symmetries in AdS and CFT (2013, background): “Some simplifications Results on cubic vertices in Minkowski space were obtained in [24–29].”
General trilinear interaction for arbitrary even higher spin gauge fields (2010, background): “It follows that the minimal possible ∆ is expressed by Metsaev’s (see [11] equ.”
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].”
Cubic interactions of massless higher spins in (A)dS: Metric-like approach (2011, background): “The construction of on-shell cubic vertices is relatively simple, and any other off-shell version can be systematically recovered while the construction of flat-space cubic vertices with the TT constraints can be viewed as the covariant version of Metsaev’s lightcone results [41].”
On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory (2008, methodology): “Adapting the flat-space result of [4] to constantly curved backgrounds suggests that, if the γ(n);p,q fall off with n sufficiently fast, then the couplings with n > 1 can be removed by a suitable, possibly non-local, field redefinition.”
Elements of Vasiliev theory (2014, methodology): “A lot is known about cubic interactions both in the metric-like approach of Fronsdal [6–23] and in the frame-like approach of Vasiliev and Fradkin-Vasiliev [2–4, 24–30].”
On the tensionless limit of string theory, off-shell higher spin interaction vertices and BCFW recursion relations (2010, background): “However, this problem has recently been extensively discussed in [14]–[22] and several interesting cubic vertices have been obtained.”