scholarly journals String Gauge Symmetries in the Conformally Gauge-Fixed Polyakov D1 Brane Action in the Presence of Background Gauge Fields

2012 ◽  
Vol 03 (01) ◽  
pp. 110-115 ◽  
Author(s):  
Usha Kulshreshtha ◽  
Daya Shankar Kulshreshtha
Keyword(s):  
Gauge Fields ◽  
Gauge Symmetries ◽  
Brane Action

scholarly journals CONSISTENT INTERACTIONS IN A THREE-DIMENSIONAL THEORY WITH TENSOR GAUGE FIELDS OF DEGREES TWO AND THREE

2003 ◽  
Vol 18 (24) ◽  
pp. 4451-4468 ◽  
Author(s):  
SOLANGE-ODILE SALIU
Keyword(s):  
Three Dimensional ◽  
Simons Theory ◽  
Gauge Fields ◽  
Dimensional Theory ◽  
Gauge Symmetries ◽  
Lagrangian Action ◽  
Brst Cohomology ◽  
The Relationship ◽  
Chern Simons ◽  
Chern Simons Theory

All consistent interactions in a three-dimensional theory with tensor gauge fields of degrees two and three are obtained by means of the deformation of the solution to the master equation combined with cohomological techniques. The local BRST cohomology of this model allows the deformation of the Lagrangian action, accompanying gauge symmetries and gauge algebra. The relationship with the Chern–Simons theory is discussed.

scholarly journals CONSISTENT INTERACTIONS BETWEEN GAUGE FIELDS AND LOCAL BRST COHOMOLOGY: THE EXAMPLE OF YANG-MILLS MODELS

1994 ◽  
Vol 03 (01) ◽  
pp. 139-144 ◽  
Author(s):  
G. BARNICH ◽  
M. HENNEAUX ◽  
R. TATAR
Keyword(s):  
Vector Fields ◽  
Jacobi Identity ◽  
Second Order ◽  
Gauge Fields ◽  
Coupling Constant ◽  
Yang Mills ◽  
First Order ◽  
Gauge Symmetries ◽  
Brst Cohomology ◽  
Structure Constants

Recent results on the cohomological reformulation of the problem of consistent interactions between gauge fields are illustrated in the case of the Yang-Mills models. By evaluating the local BRST cohomology through descent equation techniques, it is shown (i) that there is a unique local, Poincaré invariant cubic vertex for free gauge vector fields which preserves the number of gauge symmetries to first order in the coupling constant; and (ii) that consistency to second order in the coupling constant requires the structure constants appearing in the cubic vertex to fulfill the Jacobi identity. The known uniqueness of the Yang-Mills coupling is therefore rederived through cohomological arguments.

scholarly journals COMMENTS ON HIGHER-SPIN SYMMETRIES

2009 ◽  
Vol 06 (02) ◽  
pp. 285-342 ◽  
Author(s):  
XAVIER BEKAERT
Keyword(s):  
Lie Algebra ◽  
Differential Operators ◽  
Symmetric Tensor ◽  
Weak Field ◽  
Gauge Fields ◽  
Gauge Parameter ◽  
Gauge Transformations ◽  
First Order ◽  
Gauge Symmetries ◽  
Higher Spin

The unconstrained frame-like formulation of an infinite tower of completely symmetric tensor gauge fields is reviewed and examined in the limit where the cosmological constant goes to zero. By partially fixing the gauge and solving the torsion constraints, the form of the gauge transformations in the unconstrained metric-like formulation are obtained till first order in a weak field expansion. The algebra of the corresponding gauge symmetries is shown to be equivalent, at this order and modulo (unphysical) gauge parameter redefinitions, to the Lie algebra of Hermitian differential operators on ℝn, the restriction of which to the spin-two sector is the Lie algebra of infinitesimal diffeomorphisms.

scholarly journals Gauge gravitation theory: Gravity as a Higgs field

2016 ◽  
Vol 13 (06) ◽  
pp. 1650086 ◽  
Author(s):  
Gennadi Sardanashvily
Keyword(s):  
Gauge Theory ◽  
Symmetry Breaking ◽  
Riemannian Metrics ◽  
Higgs Field ◽  
Gravitation Theory ◽  
Gauge Fields ◽  
Linear Connections ◽  
Gauge Symmetries ◽  
Higgs Fields ◽  
Gauge Gravitation

Gravitation theory is formulated as gauge theory on natural bundles with spontaneous symmetry breaking, where gauge symmetries are general covariant transformations, gauge fields are general linear connections, and Higgs fields are pseudo-Riemannian metrics.

scholarly journals Gauge symmetries of pure Chern - Simons theories with p -form gauge fields

1997 ◽  
Vol 14 (9) ◽  
pp. 2455-2468 ◽  
Author(s):  
M Bañados ◽  
M Henneaux ◽  
C Iannuzzo ◽  
C M Viallet
Keyword(s):  
Gauge Fields ◽  
Gauge Symmetries ◽  
Chern Simons

AXIAL-SCHWINGER MODEL

1996 ◽  
Vol 11 (16) ◽  
pp. 2931-2939 ◽  
Author(s):  
R. AMORIM ◽  
J. BARCELOS-NETO ◽  
A. DE SOUZA DUTRA
Keyword(s):  
Path Integral ◽  
Effective Interaction ◽  
Axial Current ◽  
Gauge Fields ◽  
Schwinger Model ◽  
Local Gauge ◽  
Gauge Symmetries ◽  
Integral Technique ◽  
Topological Current

We consider an extension of the axial model where local gauge symmetries are taken into account. The result is a mixing of the axial and Schwinger models. The anomaly of the axial current is calculated by means of the Fujikawa path integral technique and the model is also solved. Besides the well-known features of the particular models (axial and Schwinger) an effective interaction of scalar and gauge fields via a topological current is obtained. This term is responsible for the appearance of massive poles in the propagators that are different from those of both models.

scholarly journals MULTIPLE D2-BRANE ACTION FROM M2-BRANES

2009 ◽  
Vol 24 (16n17) ◽  
pp. 3039-3052 ◽  
Author(s):  
TIANJUN LI ◽  
YAN LIU ◽  
DAN XIE
Keyword(s):  
Effective Action ◽  
Higgs Mechanism ◽  
High Order ◽  
Auxiliary Field ◽  
The Novel ◽  
Membrane Theory ◽  
Abjm Theory ◽  
Gauge Symmetries ◽  
Detailed Derivation ◽  
Brane Action

We study the detailed derivation of the multiple D2-brane effective action from multiple M2-branes in the Bagger–Lambert–Gustavsson (BLG) theory and the Aharony–Bergman–Jafferis–Maldacena (ABJM) theory by employing the novel Higgs mechanism. We show explicitly that the high-order F3 and F4 terms are commutator terms, and conjecture that all the high-order terms are commutator terms. Because the commutator terms can be treated as the covariant derivative terms, these high-order terms do not contribute to the multiple D2-brane effective action. Inspired by the derivation of a single D2-brane from a M2-brane, we consider the curved M2-branes and introduce an auxiliary field. Integrating out the auxiliary field, we indeed obtain the correct high-order F4 terms in the D2-brane effective action from the BLG theory and the ABJM theory with SU(2) × SU(2) gauge symmetry, but we cannot obtain the correct high-order F4 terms from the ABJM theory with U(N) × U(N) and SU(N) × SU(N) gauge symmetries for N > 2. We also briefly comment on the (gauged) BF membrane theory.

scholarly journals ALTERNATIVE FORMULATION FOR DUALITY-SYMMETRIC 11-DIMENSIONAL SUPERGRAVITY COUPLED TO SUPER M-5-BRANE

1999 ◽  
Vol 14 (15) ◽  
pp. 977-992 ◽  
Author(s):  
HITOSHI NISHINO
Keyword(s):  
Field Strength ◽  
Tensor Field ◽  
The Self ◽  
Gauge Fields ◽  
Necessary Condition ◽  
Alternative Formulation ◽  
Field Equations ◽  
Self Duality ◽  
Form Field ◽  
Brane Action

We present an alternative formulation of duality-symmetric 11-dimensional supergravity with both three-form and six-form gauge fields. Instead of the recently-proposed scalar auxiliary field, we use a simpler Lagrangian with a non-propagating auxiliary multiplier tensor field with eight-indices. We also complete the superspace formulation in a duality-symmetric manner. An alternative super M-5-brane action coupled to this 11-dimensional background is also presented. This formulation bypasses the usual obstruction for an invariant Lagrangian for a self-dual three-form field strength, by allowing the self-duality only as a solution for field equations, but not as a necessary condition.

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