Derives general BRST-BV Lagrangian for free fields in Poincare AdS, develops constrained and unconstrained versions for massless/massive/partially-massless and continuous-spin fields, and matches to metric-like formulation.
Infinite (continuous) spin fields in the frame-like formalism
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abstract
In this paper we elaborate on the gauge invariant frame-like Lagrangian description for the wide class of the so-called infinite (or continuous) spin representations of Poincar\'e group. We use our previous results on the gauge invariant formalism for the massive mixed symmetry fields corresponding to the Young tableau with two rows Y(k,l) (Y(k+1/2,l+1/2) for the fermionic case). We have shown that the corresponding infinite spin solutions can be constructed as a limit where k goes to infinity, while l remain to be fixed and label different representations. Moreover, our gauge invariant formalism provides a natural generalization to (Anti) de Sitter spaces as well. As in the completely symmetric case considered earlier by Metsaev we have found that there are no unitary solutions in de Sitter space, while there exists a rather wide spectrum of Anti de Sitter ones. In this, the question what representations of the Anti de Sitter group such solutions correspond to remains to be open.
fields
hep-th 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
A new single two-component spinor formulation for continuous-spin particles allows straightforward amplitudes, shows infinite-spin limit of massive amplitudes with exponentiation, and yields nontrivial collinear amplitudes constrained by a dimensionful CSP parameter.
Construction of first-class constraint systems for bosonic and fermionic continuous-spin fields in AdS_D that realize the so(2,D-1) algebra via Lie-Lorentz derivative and match Metsaev's Casimir classification.
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BRST-BV approach to fields in Poincare patch of AdS
Derives general BRST-BV Lagrangian for free fields in Poincare AdS, develops constrained and unconstrained versions for massless/massive/partially-massless and continuous-spin fields, and matches to metric-like formulation.
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Spinor-helicity formalism for continuous-spin particles
A new single two-component spinor formulation for continuous-spin particles allows straightforward amplitudes, shows infinite-spin limit of massive amplitudes with exponentiation, and yields nontrivial collinear amplitudes constrained by a dimensionful CSP parameter.
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Wigner continuous-spin equations in $\mathbf{AdS_D}$: bosonic and fermionic cases
Construction of first-class constraint systems for bosonic and fermionic continuous-spin fields in AdS_D that realize the so(2,D-1) algebra via Lie-Lorentz derivative and match Metsaev's Casimir classification.