Cubic vertices of arbitrary-spin massless fields in lightcone gauge are expressed as direct generalizations of abelian vertices built from linearized curvatures, yielding consistency of self-dual theories in (A)dS with no higher vertices needed.
String Theory as a Higher Spin Theory
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abstract
The symmetries of string theory on ${\rm AdS}_3 \times {\rm S}^3 \times \mathbb{T}^4$ at the dual of the symmetric product orbifold point are described by a so-called Higher Spin Square (HSS). We show that the massive string spectrum in this background organises itself in terms of representations of this HSS, just as the matter in a conventional higher spin theory does so in terms of representations of the higher spin algebra. In particular, the entire untwisted sector of the orbifold can be viewed as the Fock space built out of the multiparticle states of a single representation of the HSS, the so-called `minimal' representation. The states in the twisted sector can be described in terms of tensor products of a novel family of representations that are somewhat larger than the minimal one.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Topological fields in 4d higher spin theory have a finite number of degrees of freedom and admit a gauge-invariant cubic action for interactions with physical higher spin fields.
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Universal structure in the interactions of massless fields on the lightcone
Cubic vertices of arbitrary-spin massless fields in lightcone gauge are expressed as direct generalizations of abelian vertices built from linearized curvatures, yielding consistency of self-dual theories in (A)dS with no higher vertices needed.
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Topological Fields in $4d$ Higher Spin Theory
Topological fields in 4d higher spin theory have a finite number of degrees of freedom and admit a gauge-invariant cubic action for interactions with physical higher spin fields.