scholarly journals CONFORMAL INVARIANT INTERACTION OF A SCALAR FIELD WITH HIGHER SPIN FIELD IN AdSD

2010 ◽  
Vol 25 (16) ◽  
pp. 1333-1348 ◽  
Author(s):  
RUBEN MANVELYAN ◽  
KARAPET MKRTCHYAN
Keyword(s):  
Scalar Field ◽  
Gauge Field ◽  
Explicit Form ◽  
Gauge Fields ◽  
Conformal Invariant ◽  
Gauge Invariant ◽  
Exact Agreement ◽  
Higher Spin ◽  
Spin Fields ◽  
Invariant Interaction

The explicit form of linearized gauge invariant interactions of scalar and general higher even spin fields in the AdSD space is obtained. In the case of general spin-ℓ a generalized "Weyl" transformation is proposed and the corresponding "Weyl" invariant action is constructed. In both cases the invariant actions of the interacting higher even spin gauge field and the scalar field include the whole tower of invariant actions for couplings of the same scalar with all gauge fields of smaller even spin. For the particular value of ℓ = 4, all results are in exact agreement with Ref. 1.

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.

Becchi-Rouet-Stora structure and gauge-invariant actions for higher-spin fields

1988 ◽  
Vol 37 (4) ◽  
pp. 1079-1082 ◽  
Author(s):  
Ki Soo Chung ◽  
Chang Woo Han ◽  
Jae Kwan Kim ◽  
I. G. Koh
Keyword(s):  
Gauge Invariant ◽  
Higher Spin ◽  
Spin Fields ◽  
Higher Spin Fields

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.

scholarly journals Gauge invariant Lagrangian formulation of massive higher spin fields in (A)dS3 space

2012 ◽  
Vol 716 (1) ◽  
pp. 243-248 ◽  
Author(s):  
I.L. Buchbinder ◽  
T.V. Snegirev ◽  
Yu.M. Zinoviev
Keyword(s):  
Lagrangian Formulation ◽  
Gauge Invariant ◽  
Higher Spin ◽  
Spin Fields ◽  
Higher Spin Fields

scholarly journals Manifest form of the spin-local higher-spin vertex $$\varUpsilon ^{\eta \eta }_{\omega CCC}$$

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
O. A. Gelfond ◽  
A. V. Korybut
Keyword(s):  
Field Strength ◽  
Gauge Fields ◽  
Local Form ◽  
Field Equations ◽  
Independent Form ◽  
Higher Spin ◽  
Spin Fields ◽  
Practical Analysis ◽  
System Order ◽  
Generating System

AbstractVasiliev generating system of higher-spin equations allowing to reconstruct nonlinear vertices of field equations for higher-spin gauge fields contains a free complex parameter $$\eta $$ η . Solving the generating system order by order one obtains physical vertices proportional to various powers of $$\eta $$ η and $${\bar{\eta }}$$ η ¯ . Recently $$\eta ^2$$ η 2 and $${\bar{\eta }}^2$$ η ¯ 2 vertices in the zero-form sector were presented in Didenko et al. (JHEP 2012:184, 2020) in the Z-dominated form implying their spin-locality by virtue of Z-dominance Lemma of Gelfond and Vasiliev (Phys. Lett. B 786:180, 2018). However the vertex of Didenko et al. (2020) had the form of a sum of spin-local terms dependent on the auxiliary spinor variable Z in the theory modulo so-called Z-dominated terms, providing a sort of existence theorem rather than explicit form of the vertex. The aim of this paper is to elaborate an approach allowing to systematically account for the effect of Z-dominated terms on the final Z-independent form of the vertex needed for any practical analysis. Namely, in this paper we obtain explicit Z-independent spin-local form for the vertex $$\varUpsilon ^{\eta \eta }_{\omega CCC}$$ Υ ω C C C η η for its $$\omega CCC$$ ω C C C -ordered part where $$\omega $$ ω and C denote gauge one-form and field strength zero-form higher-spin fields valued in an arbitrary associative algebra in which case the order of product factors in the vertex matters. The developed formalism is based on the Generalized Triangle identity derived in the paper and is applicable to all other orderings of the fields in the vertex.

scholarly journals GINZBURG–LANDAU EQUATION FROM SU(2) GAUGE FIELD THEORY

2003 ◽  
Vol 18 (14) ◽  
pp. 955-965 ◽  
Author(s):  
VLADIMIR DZHUNUSHALIEV ◽  
DOUGLAS SINGLETON
Keyword(s):  
Scalar Field ◽  
Gauge Field ◽  
Landau Equation ◽  
Mass Term ◽  
Gauge Fields ◽  
Electromagnetic Potential ◽  
Complex Scalar ◽  
Ginzburg Landau ◽  
Qcd Vacuum ◽  
Complex Scalar Field

The dual superconductor picture of the QCD vacuum is thought to describe the various aspects of the strong interaction including confinement. Ordinary superconductivity is described by the Ginzburg–Landau (GL) equation. In the present work we show that it is possible to arrive at a GL-like equation from pure SU(2) gauge theory. This is accomplished by using Abelian projection to split the SU(2) gauge fields into an Abelian subgroup and its coset. The two gauge field components of the coset part act as the effective, complex, scalar field of the GL equation. The Abelian part of the SU(2) gauge field is then analogous to the electromagnetic potential in the GL equation. An important feature of the dual superconducting model is for the GL Lagrangian to have a spontaneous symmetry breaking potential, and the existence of Nielsen–Olesen flux tube solutions. Both of these require a tachyonic mass for the effective scalar field. Such a tachyonic mass term is obtained from the condensation of ghost fields.

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