On partially massless theory in 3 dimensions
Abstract
We analyze the firstorder formulation of the ghostfree bigravity model in threedimensions known as zweidreibein gravity. For a special choice of parameters, it was argued to have an additional gauge symmetry and give rise to a partially massless theory. We provide a thorough canonical analysis and identify that whether the theory becomes partially massless depends on the form of the stability condition of the secondary constraint responsible for the absence of the ghost. Generically, it is found to be an equation for a Lagrange multiplier implying that partially massless zweidreibein gravity does not exist. However, for special backgrounds this condition is identically satisfied leading to the presence of additional symmetries, which however disappear at quadratic order in perturbations.
 Authors:
 Laboratoire Charles Coulomb UMR 5221, Université Montpellier 2, Place Eugène Bataillon, F34095, Montpellier (France)
 (France)
 Institut d’Astrophysique de ParisUMR7095 (GReCO), Université Pierre et Marie Curie and CNRS, 98bis boulevard Arago, F75014 Paris (France)
 Publication Date:
 Sponsoring Org.:
 SCOAP3, CERN, Geneva (Switzerland)
 OSTI Identifier:
 22454531
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2015; Journal Issue: 03; Other Information: PUBLISHERID: JCAP03(2015)043; OAI: oai:repo.scoap3.org:9694; Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; EQUATIONS; GAUGE INVARIANCE; GRAVITATION; MATHEMATICAL SPACE; PERTURBATION THEORY; QUANTUM FIELD THEORY; SYMMETRY
Citation Formats
Alexandrov, Sergei, Laboratoire Charles Coulomb UMR 5221, CNRS, Place Eugène Bataillon, F34095, Montpellier, Deffayet, Cédric, and IHÉS, Le BoisMarie, 35 route de Chartres, F91440 BuressurYvette. On partially massless theory in 3 dimensions. United States: N. p., 2015.
Web. doi:10.1088/14757516/2015/03/043.
Alexandrov, Sergei, Laboratoire Charles Coulomb UMR 5221, CNRS, Place Eugène Bataillon, F34095, Montpellier, Deffayet, Cédric, & IHÉS, Le BoisMarie, 35 route de Chartres, F91440 BuressurYvette. On partially massless theory in 3 dimensions. United States. doi:10.1088/14757516/2015/03/043.
Alexandrov, Sergei, Laboratoire Charles Coulomb UMR 5221, CNRS, Place Eugène Bataillon, F34095, Montpellier, Deffayet, Cédric, and IHÉS, Le BoisMarie, 35 route de Chartres, F91440 BuressurYvette. 2015.
"On partially massless theory in 3 dimensions". United States.
doi:10.1088/14757516/2015/03/043.
@article{osti_22454531,
title = {On partially massless theory in 3 dimensions},
author = {Alexandrov, Sergei and Laboratoire Charles Coulomb UMR 5221, CNRS, Place Eugène Bataillon, F34095, Montpellier and Deffayet, Cédric and IHÉS, Le BoisMarie, 35 route de Chartres, F91440 BuressurYvette},
abstractNote = {We analyze the firstorder formulation of the ghostfree bigravity model in threedimensions known as zweidreibein gravity. For a special choice of parameters, it was argued to have an additional gauge symmetry and give rise to a partially massless theory. We provide a thorough canonical analysis and identify that whether the theory becomes partially massless depends on the form of the stability condition of the secondary constraint responsible for the absence of the ghost. Generically, it is found to be an equation for a Lagrange multiplier implying that partially massless zweidreibein gravity does not exist. However, for special backgrounds this condition is identically satisfied leading to the presence of additional symmetries, which however disappear at quadratic order in perturbations.},
doi = {10.1088/14757516/2015/03/043},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 03,
volume = 2015,
place = {United States},
year = 2015,
month = 3
}

We analyze the firstorder formulation of the ghostfree bigravity model in threedimensions known as zweidreibein gravity. For a special choice of parameters, it was argued to have an additional gauge symmetry and give rise to a partially massless theory. We provide a thorough canonical analysis and identify that whether the theory becomes partially massless depends on the form of the stability condition of the secondary constraint responsible for the absence of the ghost. Generically, it is found to be an equation for a Lagrange multiplier implying that partially massless zweidreibein gravity does not exist. However, for special backgrounds this conditionmore »

Massless SU(N) YangMills theory in two dimensions
An analysis of twodimensional, massless SU(N) YangMills theory initiated previously is continued and extended. The fermion propagator in the presence of a nonAbelian potential is constructed exactly, and the corresponding (induced) vacuum fermion currents and their divergences are deduced. The analysis of the colorsinglet current and the associated bound states reveals the nonexistence of massive colorsinglet bound states. This fact, together with the previously established existence of massive ''colored'' states, characterizes the spectrum, save for possible massless excitations. A consideration of the bosonrepresentation version of the theory reveals the symmetry breaking and the associated mass generation to be a Schwingertypemore » 
Massless limits, anomalous dimensions from the renormalization group, and the CallanSymanzik equations for gphi/sup 4/ + fphi/sup 6/ theory
The renormalizationgroup and CallanSymanzik equations for gphi/sup 4/ + fphi/sup 6/ theory are obtained by using the technique of differential vertex operations in a normalproduct algorithm. The Lagrangian constructed by the addition of all possible counterterms obtained from powercounting arguments contains two oversubtracted terms, in contrast to the usual Lagrangians containing only masstype oversubtractions. The solutions of partialdifferential equations are discussed in detail, which contain as a particular case the saddlepoint solution implying the nonexistence of an anomalous dimension, while the usual fixedpoint solution mimics the situation of the couplingconstantdependent engineering dimension of fields. The massless limits are also considered,more » 
Partially massless spin2 electrodynamics
Maximal depth, partially massless, higher spin excitations can mediate charged matter interactions in a de Sitter universe. This result is motivated by similarities between these theories and their traditional Maxwell counterpart: their propagation is lightlike and corresponds to the same Laplacian eigenmodes as the de Sitter photon; they are conformal in four dimensions; their gauge invariance has a single scalar parameter and actions can be expressed as squares of single derivative curvature tensors. We study this effect in detail for its simplest spin 2 example: It is possible to construct a natural and consistent interaction scheme with conserved vector electromagneticmore »