Search results for: Glenn Barnich

Items from 1 to 20 out of 24 results

article

Deformations of vector-scalar models

Glenn Barnich, Nicolas Boulanger, Marc Henneaux, Bernard Julia, more

Journal of High Energy Physics > 2018 > 2018 > 2 > 1-53

Abstract Abelian vector fields non-minimally coupled to uncharged scalar fields arise in many contexts. We investigate here through algebraic methods their consistent deformations (“gaugings”), i.e., the deformations that preserve the number (but not necessarily the form or the algebra) of the gauge symmetries. Infinitesimal consistent deformations are given by the BRST cohomology classes at ghost...

article

Centrally extended BMS4 Lie algebroid

Glenn Barnich

Journal of High Energy Physics > 2017 > 2017 > 6 > 1-14

Abstract We explicitly show how the field dependent 2-cocycle that arises in the current algebra of 4 dimensional asymptotically flat spacetimes can be used as a central extension to turn the BMS4 Lie algebra, or more precisely, the BMS4 action Lie algebroid, into a genuine Lie algebroid with field dependent structure functions. Both a BRST formulation, where the extension appears as a ghost number...

article

Super-BMS₃ invariant boundary theory from three-dimensional flat supergravity

Glenn Barnich, Laura Donnay, Javier Matulich, Ricardo Troncoso

Journal of High Energy Physics > 2017 > 2017 > 1 > 1-15

Abstract The two-dimensional super-BMS₃ invariant theory dual to three-dimensional asymptotically flat N = 1 $$ \mathcal{N}=1 $$ supergravity is constructed. It is described by a constrained or gauged chiral Wess-Zumino-Witten action based on the super-Poincaré algebra in the Hamiltonian, respectively the Lagrangian formulation, whose reduced phase space description corresponds to a supersymmetric...

article

Finite BMS transformations

Glenn Barnich, Cédric Troessaert

Journal of High Energy Physics > 2016 > 2016 > 3 > 1-41

Abstract The action of finite BMS and Weyl transformations on the gravitational data at null infinity is worked out in three and four dimensions in the case of an arbitrary conformal factor for the boundary metric induced on Scri.

article

Notes on the BMS group in three dimensions: II. Coadjoint representation

Glenn Barnich, Blagoje Oblak

Journal of High Energy Physics > 2015 > 2015 > 3 > 1-18

Abstract The coadjoint representation of the BMS ₃ group, which governs the covariant phase space of three-dimensional asymptotically flat gravity, is investigated. In particular, we classify coadjoint BMS ₃ orbits and show that intrinsic angular momentum is free of supertranslation ambiguities. Finally, we discuss the link with induced representations upon geometric...

article

Asymptotic symmetries and dynamics of three-dimensional flat supergravity

Glenn Barnich, Laura Donnay, Javier Matulich, Ricardo Troncoso

Journal of High Energy Physics > 2014 > 2014 > 8 > 1-18

Abstract A consistent set of asymptotic conditions for the simplest supergravity theory without cosmological constant in three dimensions is proposed. The canonical generators associated to the asymptotic symmetries are shown to span a supersymmetric extension of the BMS₃ algebra with an appropriate central charge. The energy is manifestly bounded from below with the ground state given by the null...

article

Notes on the BMS group in three dimensions: I. Induced representations

Glenn Barnich, Blagoje Oblak

Journal of High Energy Physics > 2014 > 2014 > 6 > 1-27

Abstract The Bondi-Metzner-Sachs group in three dimensions is the symmetry group of asymptotically flat three-dimensional spacetimes. It is the semi-direct product of the diffeomorphism group of the circle with the space of its adjoint representation, embedded as an abelian normal subgroup. The structure of the group suggests to study induced representations; we show here that they are associated...

article

Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity

Glenn Barnich, Hernán A. González

Journal of High Energy Physics > 2013 > 2013 > 5 > 1-27

Abstract Starting from the Chern-Simons formulation, the two-dimensional dual theory for three-dimensional asymptotically flat Einstein gravity at null infinity is constructed. Solving the constraints together with suitable gauge fixing conditions gives in a first stage a chiral Wess-Zumino-Witten like model based on the Poincaré algebra in three dimensions. The next stage involves a Hamiltonian...

article

Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity

Glenn Barnich, Cédric Troessaert

Journal of High Energy Physics > 2013 > 2013 > 11 > 1-15

Abstract We follow the spirit of a recent proposal to show that previous computations for asymptotically flat spacetimes in four dimensions at null infinity can be re-interpreted in terms of a well-defined holographic current algebra for the time component of the currents. The analysis is completed by the current algebra for the spatial components.

article

Entropy of three-dimensional asymptotically flat cosmological solutions

Glenn Barnich

Journal of High Energy Physics > 2012 > 2012 > 10 > 1-14

Abstract The thermodynamics of three-dimensional asymptotically flat cosmological solutions that play the same role than the BTZ black holes in the anti-de Sitter case is derived and explained from holographic properties of flat space. It is shown to coincide with the flat-space limit of the thermodynamics of the inner black hole horizon on the one hand and the semi-classical approximation to the...

article

A Poincaré lemma for sigma models of AKSZ type

Glenn Barnich, Maxim Grigoriev

Journal of Geometry and Physics > 2011 > 61 > 3 > 663-674

For a sigma model of AKSZ type, we show that the local BRST cohomology is isomorphic to the cohomology of the target space differential when restricted to coordinate neighborhoods both in the base and in the target. An analogous result is shown to hold for the cohomology in the space of functional multivectors. Applications of these latter cohomology classes in the context of the inverse problem of...

article

The Coulomb solution as a coherent state of unphysical photons

Glenn Barnich

General Relativity and Gravitation > 2011 > 43 > 9 > 2527-2530

In the context of the problem of what micro-states are responsible for the entropy of black holes, we consider as a physical toy model the electromagnetic Coulomb solution. By quantizing the electromagnetic field in the presence of an external source of charge Q, the quantum state corresponding to the Coulomb solution is identified as a coherent state of longitudinal and temporal photons in a Hilbert...

article

BMS charge algebra

Glenn Barnich, Cédric Troessaert

Journal of High Energy Physics > 2011 > 2011 > 12 > 1-22

Abstract The surface charges associated with the symmetries of asymptotically flat four dimensional spacetimes at null infinity are constructed. They realize the symmetry algebra in general only up to a field-dependent central extension that satisfies a suitably generalized cocycle condition. This extension vanishes when using the globally well defined BMS algebra. For the Kerr black hole and the...

article

First order parent formulation for generic gauge field theories

Glenn Barnich, Maxim Grigoriev

Journal of High Energy Physics > 2011 > 2011 > 1 > 1-36

We show how a generic gauge field theory described by a BRST differential can systematically be reformulated as a first order parent system whose spacetime part is determined by the de Rham differential. In the spirit of Vasiliev’s unfolded approach, this is done by extending the original space of fields so as to include their derivatives as new independent fields together with associated form fields...

article

Aspects of the BMS/CFT correspondence

Glenn Barnich, Cédric Troessaert

Journal of High Energy Physics > 2010 > 2010 > 5 > 1-36

After a review of symmetries and classical solutions involved in the AdS₃/CFT₂ correspondence, we apply a similar analysis to asymptotically flat spacetimes at null infinity in 3 and 4 dimensions. In the spirit of two dimensional conformal field theory, the symmetry algebra of asymptotically flat spacetimes at null infinity in 4 dimensions is taken to be the semi-direct sum of supertranslations with...

article

Hamiltonian BRST and Batalin-Vilkovisky Formalisms for Second Quantization of Gauge Theories

Glenn Barnich, Maxim Grigoriev

Communications in Mathematical Physics > 2005 > 254 > 3 > 581-601

Gauge theories that have been first quantized using the Hamiltonian BRST operator formalism are described as classical Hamiltonian BRST systems with a BRST charge of the form and with natural ghost and parity degrees for all fields. The associated proper solution of the classical Batalin-Vilkovisky master equation is constructed from first principles. Both of these formulations can be used as starting...

article

Comments on the gauge fixed BRST cohomology and the quantum Noether method

Glenn Barnich, Tobias Hurth, Kostas Skenderis

Physics Letters B > 2004 > 588 > 1-2 > 111-118

We discuss in detail the relation between the gauge fixed and gauge invariant BRST cohomology. We showed previously that in certain gauges some cohomology classes of the gauge-fixed BRST differential do not correspond to gauge invariant observables. We now show that in addition ''accidental'' conserved currents may appear. These correspond one-to-one to observables that become trivial in this gauge...

article

Local BRST cohomology and Seiberg-Witten maps in noncommutative Yang-Mills theory

Glenn Barnich, Friedemann Brandt, Maxim Grigoriev

Nuclear Physics, Section B > 2004 > 677 > 3 > 503-534

We analyze in detail the recursive construction of the Seiberg-Witten map and give an exhaustive description of its ambiguities. The local BRST cohomology for noncommutative Yang-Mills theory is investigated in the framework of the effective commutative Yang-Mills type theory. In particular, we show how some of the conformal symmetries get obstructed by the noncommutative deformation.

article

Classification of Surface Charges for a Spin 2 Field on a Curved Background Solution

Glenn Barnich, Serge Leclercq, Philippe Spindel

Letters in Mathematical Physics > 2004 > 68 > 3 > 175-181

Within the framework of local BRST cohomology, we establish that nontrivial conserved n− 2 forms for a spin 2 field on a background corresponding to a solution to Einstein's equation with or without cosmological constant are characterized uniquely by the Killing vector fields of the background. This result is crucial in various applications in gravitation, in particular for the study of consistent...

article

Covariant theory of asymptotic symmetries, conservation laws and central charges

Glenn Barnich, Friedemann Brandt

Nuclear Physics, Section B > 2002 > 633 > 1-2 > 3-82

Under suitable assumptions on the boundary conditions, it is shown that there is a bijective correspondence between equivalence classes of asymptotic reducibility parameters and asymptotically conserved (n-2)-forms in the context of Lagrangian gauge theories. The asymptotic reducibility parameters can be interpreted as asymptotic Killing vector fields of the background, with asymptotic behaviour determined...

Publication date

Set your own date range

INFONA - science communication portal

Search results for: Glenn Barnich

Deformations of vector-scalar models

Centrally extended BMS4 Lie algebroid

Super-BMS₃ invariant boundary theory from three-dimensional flat supergravity

Finite BMS transformations

Notes on the BMS group in three dimensions: II. Coadjoint representation

Asymptotic symmetries and dynamics of three-dimensional flat supergravity

Notes on the BMS group in three dimensions: I. Induced representations

Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity

Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity

Entropy of three-dimensional asymptotically flat cosmological solutions

A Poincaré lemma for sigma models of AKSZ type

The Coulomb solution as a coherent state of unphysical photons

BMS charge algebra

First order parent formulation for generic gauge field theories

Aspects of the BMS/CFT correspondence

Hamiltonian BRST and Batalin-Vilkovisky Formalisms for Second Quantization of Gauge Theories

Comments on the gauge fixed BRST cohomology and the quantum Noether method

Local BRST cohomology and Seiberg-Witten maps in noncommutative Yang-Mills theory

Classification of Surface Charges for a Spin 2 Field on a Curved Background Solution

Covariant theory of asymptotic symmetries, conservation laws and central charges

Filter options

Publication date

Content availability

Keywords

Data set

Journal

INFONA - science communication portal

Search results for: Glenn Barnich

Add recipient

Sending message cancelled

Are you sure you want to cancel sending this message?

Send message

Filter options

Publication date

Date range setting

Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.

Content availability

Keywords

Data set

Journal

Reporting an error / abuse

Sending the report failed

Accessibility options