scholarly journals Twisted self-duality for higher spin gauge fields and prepotentials

2016 ◽  
Vol 94 (10) ◽  
Author(s):  
Marc Henneaux ◽  
Sergio Hörtner ◽  
Amaury Leonard
Keyword(s):  
Gauge Fields ◽  
Self Duality ◽  
Higher Spin

ANTI-SELF-DUAL SOLUTIONS OF THE YANG-MILLS EQUATIONS IN 4n DIMENSIONS

1992 ◽  
Vol 07 (23) ◽  
pp. 2077-2085 ◽  
Author(s):  
A. D. POPOV
Keyword(s):  
Scalar Field ◽  
Euclidean Space ◽  
Lie Algebra ◽  
Linear Equations ◽  
Dual Solutions ◽  
Gauge Fields ◽  
System Of Equations ◽  
Semisimple Lie Algebra ◽  
Yang Mills ◽  
Self Duality

The anti-self-duality equations for gauge fields in d = 4 and a generalization of these equations to dimension d = 4n are considered. For gauge fields with values in an arbitrary semisimple Lie algebra [Formula: see text] we introduce the ansatz which reduces the anti-self-duality equations in the Euclidean space ℝ4n to a system of equations breaking up into the well known Nahm's equations and some linear equations for scalar field φ.

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
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