Homogeneous propagators for massless half-integer spin fields in 3+2 De Sitter space

1989 ◽  
Vol 18 (4) ◽  
pp. 315-323 ◽  
Author(s):  
Marc Lesimple
Keyword(s):  
De Sitter Space ◽  
De Sitter ◽  
Integer Spin ◽  
Half Integer ◽  
Spin Fields

scholarly journals Lagrangian Formulation of Free Arbitrary N-Extended Massless Higher Spin Supermultiplets in 4D AdS Space

Symmetry ◽  
2020 ◽  
Vol 12 (12) ◽  
pp. 2052
Author(s):  
Ioseph L. Buchbinder ◽  
Timofey V. Snegirev
Keyword(s):  
Explicit Form ◽  
De Sitter Space ◽  
Lagrangian Formulation ◽  
De Sitter ◽  
Integer Spin ◽  
Half Integer ◽  
Higher Spin ◽  
Spin Fields ◽  
Higher Spin Fields

We derived the component Lagrangian for the free N-extended on-shell massless higher spin supermultiplets in four-dimensional anti-de Sitter space. The construction was based on the frame-like description of massless integer and half-integer higher spin fields. The massless supermultiplets were formulated for N≤4k, where k is a maximal integer or half-integer spin in the multiplet. The supertransformations that leave the Lagrangian invariant were found in explicit form and it was shown that their algebra is closed on-shell.

scholarly journals Off-shell higher-spin fields in AdS4 and external currents

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
N.G. Misuna
Keyword(s):  
Spin System ◽  
Wave Equations ◽  
Current System ◽  
De Sitter ◽  
Arbitrary Integer ◽  
Shell System ◽  
Integer Spin ◽  
Higher Spin ◽  
Spin Fields ◽  
Higher Spin Fields

Abstract We construct an unfolded system for off-shell fields of arbitrary integer spin in 4d anti-de Sitter space. To this end we couple an on-shell system, encoding Fronsdal equations, to external Fronsdal currents for which we find an unfolded formulation. We present a reduction of the Fronsdal current system which brings it to the unfolded Fierz-Pauli system describing massive fields of arbitrary integer spin. Reformulating off-shell higher-spin system as the set of Schwinger–Dyson equations we compute propagators of higher-spin fields in the de Donder gauge directly from the unfolded equations. We discover operators that significantly simplify this computation, allowing a straightforward extraction of wave equations from an unfolded system.

DIVERGENCE STRUCTURE FOR THE STATISTICAL ENTROPY OF SPIN FIELDS IN REISSNER–NORDSTRÖM–de SITTER SPACE–TIME

2002 ◽  
Vol 17 (14) ◽  
pp. 887-897 ◽  
Author(s):  
ZHONG-HENG LI
Keyword(s):  
Scalar Fields ◽  
De Sitter Space ◽  
Space Time ◽  
Brick Wall ◽  
De Sitter ◽  
Statistical Entropy ◽  
Wall Model ◽  
Thin Region ◽  
Spin Fields ◽  
Divergence Structure

We consider the divergences at all levels for the statistical entropy of gravitational, electromagnetic, neutrino and scalar fields on extremal and nonextremal Reissner–Nordström–de Sitter space–time background in terms of the brick-wall model. We find that entropy of spin fields within a region near coinciding horizons has higher divergence than usual. The earlier result that the entropy of spin fields is proportional to scalar one or the horizon area holds only for the thin region near an isolated horizon, since the spin-dependent divergences exist in all other cases.

TWO-DIMENSIONAL (HALF-) INTEGER SPIN CONFORMAL THEORIES WITH CENTRAL CHARGE c<1

1988 ◽  
Vol 03 (12) ◽  
pp. 2945-2958 ◽  
Author(s):  
V.B. PETKOVA
Keyword(s):  
Ising Model ◽  
Integral Representation ◽  
Central Charge ◽  
Scalar Fields ◽  
Operator Product ◽  
Two Dimensional ◽  
Model Order ◽  
Integer Spin ◽  
Half Integer ◽  
Spin Fields

A generalized integral representation involving two types of charges is explored to construct correlation functions on the plane for c=1–6/(m(m+1))<1 discrete unitary Virasoro series. The various local operator product algebras emerging contain integer, or half-integer, spin fields along with scalar fields. The examples also include a generalization for arbitrary m of the ℤ2-statistics of the Ising model order-disorder fields.

scholarly journals Actions for self-dual Higher Spin Gravities

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Kirill Krasnov ◽  
Evgeny Skvortsov ◽  
Tung Tran
Keyword(s):  
Higher Spin Gravity ◽  
Gravitational Interaction ◽  
De Sitter Space ◽  
Twistor Theory ◽  
Covariant Form ◽  
De Sitter ◽  
Yang Mills ◽  
Higher Spin ◽  
Spin Fields ◽  
Higher Spin Fields

Abstract Higher Spin Gravities are scarce, but covariant actions for them are even scarcer. We construct covariant actions for contractions of Chiral Higher Spin Gravity that represent higher spin extensions of self-dual Yang-Mills and self-dual Gravity theories. The actions give examples of complete higher spin theories both in flat and (anti)-de Sitter spaces that feature gauge and gravitational interactions. The actions are based on a new description of higher spin fields, whose origin can be traced to early works on twistor theory. The new description simplifies the structure of interactions. In particular, we find a covariant form of the minimal gravitational interaction for higher spin fields both in flat and anti-de Sitter space, which resolves some of the puzzles in the literature.

scholarly journals A spectral method for half-integer spin fields based on spin-weighted spherical harmonics

2015 ◽  
Vol 32 (17) ◽  
pp. 175013 ◽  
Author(s):  
Florian Beyer ◽  
Boris Daszuta ◽  
Jörg Frauendiener
Keyword(s):  
Spectral Method ◽  
Spherical Harmonics ◽  
Integer Spin ◽  
Half Integer ◽  
Spin Fields

scholarly journals NONLOCAL EXTENDED CONFORMAL ALGEBRAS ASSOCIATED WITH MULTICONSTRAINT KP HIERARCHY AND THEIR FREE FIELD REALIZATIONS

1998 ◽  
Vol 13 (16) ◽  
pp. 2723-2737
Author(s):  
JIIN-CHANG SHAW ◽  
MING-HSIEN TU
Keyword(s):  
Hamiltonian Structure ◽  
Free Field ◽  
Kp Hierarchy ◽  
Hamiltonian Structures ◽  
Integer Spin ◽  
Half Integer ◽  
Conformal Algebras ◽  
Spin Fields ◽  
Lax Operator

We study the conformal properties of the multiconstraint KP hierarchy and its non-standard partner by covariantizing their corresponding Lax operators. The associated second Hamiltonian structures turn out to be nonlocal extensions of Wn algebra by some integer or half-integer spin fields depending on the order of the Lax operators. In particular, we show that the complicated second Hamiltonian structure of the nonstandard multiconstraint KP hierarchy can be simplified by factorizing its Lax operator to multiplication form. We then diagonalize this simplified Poisson matrix and obtain the free field realizations of its associated nonlocal algebras.

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