scholarly journals N-COMPLEXES AND HIGHER SPIN GAUGE FIELDS

2008 ◽  
Vol 05 (08) ◽  
pp. 1255-1263 ◽  
Author(s):  
MARC HENNEAUX
Keyword(s):  
Linear Operator ◽  
Gauge Fields ◽  
Algebraic Structures ◽  
Higher Spin ◽  
Generalized Cohomology

N-complexes have been argued recently to be algebraic structures relevant to the description of higher spin gauge fields. N-complexes involve a linear operator d that fulfills dN = 0 and that defines a generalized cohomology. Some elementary properties of N-complexes and the evidence for their relevance to the description of higher spin gauge fields are briefly reviewed.

scholarly journals Bulk interactions and boundary dual of higher-spin-charged particles

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Adrian David ◽  
Yasha Neiman
Keyword(s):  
Relative Velocity ◽  
Black Hole Solution ◽  
Vector Model ◽  
Boundary Theory ◽  
Gauge Fields ◽  
Leading Order ◽  
Gravitational Forces ◽  
Penrose Transform ◽  
Higher Spin ◽  
Non Locality

Abstract We consider higher-spin gravity in (Euclidean) AdS4, dual to a free vector model on the 3d boundary. In the bulk theory, we study the linearized version of the Didenko-Vasiliev black hole solution: a particle that couples to the gauge fields of all spins through a BPS-like pattern of charges. We study the interaction between two such particles at leading order. The sum over spins cancels the UV divergences that occur when the two particles are brought close together, for (almost) any value of the relative velocity. This is a higher-spin enhancement of supergravity’s famous feature, the cancellation of the electric and gravitational forces between two BPS particles at rest. In the holographic context, we point out that these “Didenko-Vasiliev particles” are just the bulk duals of bilocal operators in the boundary theory. For this identification, we use the Penrose transform between bulk fields and twistor functions, together with its holographic dual that relates twistor functions to boundary sources. In the resulting picture, the interaction between two Didenko-Vasiliev particles is just a geodesic Witten diagram that calculates the correlator of two boundary bilocals. We speculate on implications for a possible reformulation of the bulk theory, and for its non-locality issues.

scholarly journals Higher-spin fermionic gauge fields and their electromagnetic coupling

2012 ◽  
Vol 2012 (8) ◽  
Author(s):  
Marc Henneaux ◽  
Gustavo Lucena Gómez ◽  
Rakibur Rahman
Keyword(s):  
Electromagnetic Coupling ◽  
Gauge Fields ◽  
Higher Spin

scholarly journals Direct construction of a cubic selfinteraction for higher spin gauge fields

2011 ◽  
Vol 844 (2) ◽  
pp. 348-364 ◽  
Author(s):  
Ruben Manvelyan ◽  
Karapet Mkrtchyan ◽  
Werner Rühl
Keyword(s):  
Gauge Fields ◽  
Direct Construction ◽  
Higher Spin

scholarly journals TENSIONLESS STRINGS: PHYSICAL FOCK SPACE AND HIGHER SPIN FIELDS

2004 ◽  
Vol 19 (19) ◽  
pp. 3171-3194 ◽  
Author(s):  
G. K. SAVVIDY
Keyword(s):  
Zero Mode ◽  
Fock Space ◽  
Symmetry Algebra ◽  
Large Integer ◽  
Gauge Fields ◽  
Conformal Anomaly ◽  
Higher Spin ◽  
Spin Fields ◽  
Null State ◽  
Distinctive Role

We study the physical Fock space of the tensionless string theory with perimeter action, exploring its new gauge symmetry algebra. The cancellation of conformal anomaly requires the space–time to be 13-dimensional. All particles are massless and there are no tachyon states in the spectrum. The zero mode conformal operator defines the levels of the physical Fock space. All levels can be classified by the highest Casimir operator W of the little group E(11) for massless particles in 11-dimensions. The ground state is infinitely degenerated and contains massless gauge fields of arbitrary large integer spin, realizing the irreducible representations of E(11) of fixed helicity. The excitation levels realize CSR representations of little group E(11) with an infinite number of helicities. After inspection of the first excitation level, which, as we prove, is a physical null state, we conjecture that all excitation levels are physical null states. In this theory the tensor field of the second rank does not play any distinctive role and therefore one can suggest that in this model there is no gravity.

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