The minimal O(N) sigma model atD = 3 as the holographic image of a higher spin field theory on AdS4

2004 ◽  
Vol 52 (67) ◽  
pp. 655-660
Author(s):  
T. Leonhardt ◽  
W. Rühl
Keyword(s):  
Field Theory ◽  
Sigma Model ◽  
Holographic Image ◽  
Spin Field ◽  
Higher Spin

scholarly journals The masses of gauge fields in higher spin field theory on the bulk of AdS4

2005 ◽  
Vol 613 (3-4) ◽  
pp. 197-207 ◽  
Author(s):  
Ruben Manvelyan ◽  
Werner Rühl
Keyword(s):  
Field Theory ◽  
Gauge Fields ◽  
Spin Field ◽  
Higher Spin ◽  
The Masses

scholarly journals A model for massless higher spin field interacting with a geometrical background

2015 ◽  
Vol 12 (05) ◽  
pp. 1550054
Author(s):  
Giuseppe Bandelloni
Keyword(s):  
Field Theory ◽  
Degrees Of Freedom ◽  
Equations Of Motion ◽  
Symmetric Tensor ◽  
Theory Model ◽  
Algebraic Field ◽  
Spin Field ◽  
Higher Spin ◽  
A Chain ◽  
Equations Of Motions

We study a very general four-dimensional field theory model describing the dynamics of a massless higher spin N symmetric tensor field particle interacting with a geometrical background. This model is invariant under the action of an extended linear diffeomorphism. We investigate the consistency of the equations of motion, and the highest spin degrees of freedom are extracted by means of a set of covariant constraints. Moreover, the highest spin equations of motions (and in general all the highest spin field 1-PI irreducible Green functions) are invariant under a chain of transformations induced by a set of N - 2 Ward operators, while the auxiliary fields equations of motion spoil this symmetry. The first steps to a quantum extension of the model are discussed on the basis of the algebraic field theory. Technical aspects are reported in Appendices, in particular, one of them is devoted to illustrate the spin-2 case.

scholarly journals BRST LAGRANGIAN CONSTRUCTION FOR SPIN-$\frac{3}{2}$ FIELD IN EINSTEIN SPACE

2010 ◽  
Vol 25 (20) ◽  
pp. 1667-1677 ◽  
Author(s):  
I. L. BUCHBINDER ◽  
V. A. KRYKHTIN
Keyword(s):  
Field Theory ◽  
Einstein Space ◽  
Spin Field ◽  
Text Field ◽  
Massive Spin ◽  
Higher Spin ◽  
Lagrangian Construction

We explore a hidden possibility of BRST approach to higher spin field theory to obtain a consistent Lagrangian for massive spin-[Formula: see text] field in Einstein space of arbitrary d ≥ 3 dimension. Also, we prove that in the space under consideration the propagation of spin-[Formula: see text] field is hyperbolic and causal.

scholarly journals A master exceptional field theory

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Guillaume Bossard ◽  
Axel Kleinschmidt ◽  
Ergin Sezgin
Keyword(s):  
Field Theory ◽  
Gauge Invariance ◽  
Sigma Model ◽  
Linear Equations ◽  
Field Theories ◽  
Gauge Invariant ◽  
Non Linear ◽  
Non Linear Equations

Abstract We construct a pseudo-Lagrangian that is invariant under rigid E11 and transforms as a density under E11 generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on E11 exceptional field theory and the inclusion of constrained fields that transform in an indecomposable E11-representation together with the E11 coset fields. We show that, in combination with gauge-invariant and E11-invariant duality equations, this pseudo-Lagrangian reduces to the bosonic sector of non-linear eleven-dimensional supergravity for one choice of solution to the section condi- tion. For another choice, we reobtain the E8 exceptional field theory and conjecture that our pseudo-Lagrangian and duality equations produce all exceptional field theories with maximal supersymmetry in any dimension. We also describe how the theory entails non-linear equations for higher dual fields, including the dual graviton in eleven dimensions. Furthermore, we speculate on the relation to the E10 sigma model.

scholarly journals Chern-Simons gravity dual of BCFT

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Tadashi Takayanagi ◽  
Takahiro Uetoko
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Entanglement Entropy ◽  
Einstein Gravity ◽  
Conformal Field ◽  
Holographic Entanglement Entropy ◽  
The World ◽  
Higher Spin ◽  
End Of The World ◽  
Chern Simons

Abstract In this paper we provide a Chern-Simons gravity dual of a two dimensional conformal field theory on a manifold with boundaries, so called boundary conformal field theory (BCFT). We determine the correct boundary action on the end of the world brane in the Chern-Simons gauge theory. This reproduces known results of the AdS/BCFT for the Einstein gravity. We also give a prescription of calculating holographic entanglement entropy by employing Wilson lines which extend from the AdS boundary to the end of the world brane. We also discuss a higher spin extension of our formulation.

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