Massive gauge-invariant field theories on spaces of constant curvature

Medeiros, Paul de

doi:10.1088/0264-9381/21/11/004

Cited by 44 publications

(49 citation statements)

References 56 publications

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“…implies that the compensator fields must not decouple in flat space [38,39]. In a similar manner, it is conceivable that the gauge symmetries broken by interaction terms in the extended theory could be restored via compensator fields introduced following a de Sitter space reformulation.…”

Section: Jhep03(2005)072mentioning

confidence: 99%

Non-associative gauge theory and higher spin interactions

Medeiros

Ramgoolam

2005

J. High Energy Phys.

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We give a framework to describe gauge theory on a certain class of commutative but nonassociative fuzzy spaces. Our description is in terms of an Abelian gauge connection valued in the algebra of functions on the cotangent bundle of the fuzzy space. The structure of such a gauge theory has many formal similarities with that of Yang-Mills theory. The components of the gauge connection are functions on the fuzzy space which transform in higher spin representations of the Lorentz group. In component form, the gauge theory describes an interacting theory of higher spin fields, which remains non-trivial in the limit where the fuzzy space becomes associative. In this limit, the theory can be viewed as a projection of an ordinary non-commutative Yang-Mills theory. We describe the embedding of Maxwell theory in this extended framework which follows the standard unfolding procedure for higher spin gauge theories.

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Section: Jhep03(2005)072mentioning

confidence: 99%

Non-associative gauge theory and higher spin interactions

Medeiros

Ramgoolam

2005

J. High Energy Phys.

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“…Discussion of Lagrangian formulation of massive fields corresponding to twocolumn Young tableaux may be found in ref. [24]. BFV-BRST Lagrangian formulation of mixed-symmetry massive fields is discussed in refs.…”

Section: Jhep01(2015)077mentioning

confidence: 99%

Mixed-symmetry fields in AdS(5), conformal fields, and AdS/CFT

Metsaev

2015

J. High Energ. Phys.

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Mixed-symmetry arbitrary spin massive, massless, and self-dual massive fields in AdS(5) are studied. Light-cone gauge actions for such fields leading to decoupled equations of motion are constructed. Light-cone gauge formulation of mixed-symmetry anomalous conformal currents and shadows in 4d flat space is also developed. AdS/CFT correspondence for normalizable and non-normalizable modes of mixed-symmetry AdS fields and the respective boundary mixed-symmetry anomalous conformal currents and shadows is studied. We demonstrate that the light-cone gauge action for massive mixed-symmetry AdS field evaluated on solution of the Dirichlet problem amounts to the light-cone gauge 2-point vertex of mixed-symmetry anomalous shadow. Also we show that UV divergence of the action for mixed-symmetry massive AdS field with some particular value of mass parameter evaluated on the Dirichlet problem amounts to the action of long mixed-symmetry conformal field, while UV divergence of the action for mixed-symmetry massless AdS field evaluated on the Dirichlet problem amounts to the action of short mixed-symmetry conformal field. We speculate on string theory interpretation of a model which involves short low-spin conformal fields and long higher-spin conformal fields.

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“…The abelian (nonabelian) Clifford-valued field strength discussed in this section is an extension (generalization) of what is called in the Mathematics literature bi-forms,multi-forms [52]. A bi-form is the GL (D,R) reducible tensor product space of p-forms and q-forms on the exterior algebra whose elements are…”

Section: Nonabelian Gauge Field Theories In Clifford-spaces and Multimentioning

confidence: 99%

“…All the standard operations on differential forms generalize to bi-forms [52]. Tensors in representations corresponding to Young tableaux with two columns are irreducible under GL (D, R).…”

Section: Nonabelian Gauge Field Theories In Clifford-spaces and Multimentioning

confidence: 99%

“…. For a detailed discussion of tensor gauge fields of mixed symmetry, massive gauge-invariant field theories and multi-form gauge theories on spaces of constant curvature, and their applications in superstrings compactifications, we refer to [52]. The analog of multi-forms in C-spaces will be:…”

Section: Nonabelian Gauge Field Theories In Clifford-spaces and Multimentioning

confidence: 99%

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