Chiral Anomalies of Anti-Symmetric Tensor Gauge Fields in Higher Dimensions

We present a method based on BRST techniques for how to obtain the conventional equations for symmetric tensor gauge fields which describe free massless particles of arbitrary integer spin. We do so in a wave function representation in a flat space-time background of any dimension. A fairly straightforward way is also presented for how to obtain the equations from a gauge invariant Lagrangian of the form [Formula: see text].

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BLACK HOLES IN THE PRESENCE OF COSMOLOGICAL CONSTANT AND LARGE-N BRANE WORLD

Modern Physics Letters A ◽

10.1142/s0217732309030655 ◽

2009 ◽

Vol 24 (26) ◽

pp. 2107-2118 ◽

Cited By ~ 1

Author(s):

MINGXING LUO ◽

SIBO ZHENG

Keyword(s):

Cosmological Constant ◽

Higher Dimensions ◽

Brane World ◽

Gauge Fields ◽

Brane Worlds ◽

Gravitational Theories ◽

Large N ◽

Gauge Gravity ◽

Gravity Duality ◽

Constant Dilaton

Gravitational theories including negative cosmological constant, dilaton and gauge fields are explored in higher dimensions, in which black hole solutions are shown to exist and their asymptotic behaviors are obtained. Based on these solutions, effective Randall–Sundrum brane worlds are constructed. In the framework of gauge/gravity duality, effects from cosmological constant on the spectra of standard model fields on the branes are perturbatively calculated.

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STOCHASTIC QUANTIZATION OF ANTISYMMETRIC TENSOR FIELDS

Modern Physics Letters A ◽

10.1142/s0217732386000166 ◽

1986 ◽

Vol 01 (02) ◽

pp. 111-118 ◽

Cited By ~ 1

Author(s):

P.A. AMUNDSSEN ◽

P.H. DAMGAARD ◽

B.-S. SKAGERSTAM

Keyword(s):

Stochastic Process ◽

Initial Data ◽

Langevin Equation ◽

Degrees Of Freedom ◽

Mass Shell ◽

Symmetric Tensor ◽

Gauge Fields ◽

Stochastic Quantization ◽

Tensor Fields ◽

Abelian Gauge

We extend the stochastic quantization procedure of Parisi and Wu to the case of anti-symmetric tensor fields of arbitrary rank. It is shown that the correct number of physical degrees of freedom on mass shell is automatically projected out. The gauge degrees of freedom can be buried in the initial data of the Langevin equation describing the stochastic process in analogy with the treatment of Abelian and non-Abelian gauge fields.

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COMMENTS ON HIGHER-SPIN SYMMETRIES

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s0219887809003527 ◽

2009 ◽

Vol 06 (02) ◽

pp. 285-342 ◽

Cited By ~ 12

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.

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POINT PARTICLE–SYMMETRIC TENSORS INTERACTION AND GENERALIZED GAUGE PRINCIPLE

International Journal of Modern Physics A ◽

10.1142/s0217751x03015842 ◽

2003 ◽

Vol 18 (27) ◽

pp. 5021-5038 ◽

Cited By ~ 1

Author(s):

ARKADY Y. SEGAL

Keyword(s):

Symmetric Tensor ◽

Point Particle ◽

Gauge Fields ◽

Symmetric Tensors ◽

Tensor Fields ◽

First Order ◽

Higher Spin ◽

Infinite Collection ◽

Higher Rank ◽

Particle Action

The model of a point particle in the background of external symmetric tensor fields is analyzed from the higher spin theory perspective. It is proposed that the gauge transformations of the infinite collection of symmetric tensor fields may be read off from the covariance properties of the point particle action w.r.t. general canonical transformations. The gauge group turns out to be a semidirect product of all phase space canonical transformations to an Abelian ideal of "hyperWeyl" transformations and includes U(1) and general coordinate symmetries as a subgroup. A general configuration of external fields includes rank-0,1,2 symmetric tensors, so the whole system may be truncated to ordinary particle in Einstein–Maxwell backgrounds by switching off the higher-rank symmetric tensors. When otherwise all the higher rank tensors are switched on, the full gauge group provides a huge gauge symmetry acting on the whole infinite collection of symmetric tensors. We analyze this gauge symmetry and show that the symmetric tensors which couple to the point particle should not be interpreted as Fronsdal gauge fields, but rather as gauge fields of some conformal higher spin theories. It is shown that the Fronsdal fields system possesses twice as many symmetric tensor fields as is contained in the general background of the point particle. Besides, the particle action in general backgrounds is shown to reproduce De Wit–Freedman point particle–symmetric tensors first order interaction suggested many years ago, and extends their result to all orders in interaction, while the generalized equivalence principle completes the first order covariance transformations found in their paper, in all orders.

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Advances in synthetic gauge fields for light through dynamic modulation

Royal Society Open Science ◽

10.1098/rsos.172447 ◽

2018 ◽

Vol 5 (4) ◽

pp. 172447 ◽

Cited By ~ 5

Author(s):

Daniel Hey ◽

Enbang Li

Keyword(s):

Magnetic Field ◽

Gauge Field ◽

Time Reversal ◽

Higher Dimensions ◽

Gauge Fields ◽

Time Reversal Symmetry ◽

Topological Properties ◽

Dynamic Modulation ◽

Recent Developments ◽

Synthetic Gauge Fields

Photons are weak particles that do not directly couple to magnetic fields. However, it is possible to generate a photonic gauge field by breaking reciprocity such that the phase of light depends on its direction of propagation. This non-reciprocal phase indicates the presence of an effective magnetic field for the light itself. By suitable tailoring of this phase, it is possible to demonstrate quantum effects typically associated with electrons, and, as has been recently shown, non-trivial topological properties of light. This paper reviews dynamic modulation as a process for breaking the time-reversal symmetry of light and generating a synthetic gauge field, and discusses its role in topological photonics, as well as recent developments in exploring topological photonics in higher dimensions.

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LOCAL GAUGE FIELDS BASED ON A YANG–MILLS THEORY IN LOOP SPACE

International Journal of Modern Physics A ◽

10.1142/s0217751x95000504 ◽

1995 ◽

Vol 10 (07) ◽

pp. 1019-1043 ◽

Cited By ~ 5

Author(s):

SHINICHI DEGUCHI ◽

TADAHITO NAKAJIMA

Keyword(s):

Minkowski Space ◽

Loop Space ◽

Symmetric Tensor ◽

Gauge Fields ◽

Tensor Fields ◽

Yang Mills ◽

Rank Tensor ◽

Stueckelberg Formalism ◽

Mills Field ◽

Reparametrization Invariance

We construct a Yang–Mills theory in loop space (the space of all loops in Minkowski space) with the Kac–Moody gauge group in such a way that the theory possesses reparametrization invariance. On the basis of the Yang–Mills theory, we derive the usual Yang–Mills theory and a non-Abelian Stueckelberg formalism extended to local antisymmetric and symmetric tensor fields of the second rank. The local Yang–Mills field and the second-rank tensor fields are regarded as components of a Yang–Mills field on the loop space.

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A BRST APPROACH TO MASSLESS GAUGE FIELDS OF HALF-INTEGER SPIN

International Journal of Modern Physics A ◽

10.1142/s0217751x90002208 ◽

1990 ◽

Vol 05 (16) ◽

pp. 3265-3275 ◽

Cited By ~ 1

Author(s):

THOMAS DOMEIJ

Keyword(s):

Wave Function ◽

Symmetric Tensor ◽

Flat Space ◽

Space Time ◽

Gauge Fields ◽

Massless Particles ◽

Function Representation ◽

Integer Spin ◽

Half Integer ◽

Do So

We present a program based on BRST techniques for how to obtain the conventional equations for totally symmetric tensor-spinors which describe free massless particles of arbitrary half-integer spin. We do so in a wave function representation in a flat space-time background of any even dimension.

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