Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions

نویسندگان

  • Glenn Barnich
  • Geoffrey Compère
چکیده

The symmetry algebra of asymptotically flat spacetimes at null infinity in three dimensions is the semi-direct sum of the infinitesimal diffeomorphisms on the circle with an abelian ideal of supertranslations. The associated charge algebra is shown to admit a non trivial classical central extension of Virasoro type closely related to that of the anti-de Sitter case. PACS numbers: 04.20.Ha, 04.60.-m, 11.10.Ef, 11.30.-j Senior Research Associate of the National Fund for Scientific Research (Belgium) Research Fellow of the National Fund for Scientific Research (Belgium). Central charge for bms3 2

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Higher-Dimensional Supertranslations and Weinberg’s Soft Graviton Theorem

Asymptotic symmetries of theories with gravity in d = 2m+2 spacetime dimensions are reconsidered for m > 1 in light of recent results concerning d = 4 BMS symmetries. Weinberg’s soft graviton theorem in 2m + 2 dimensions is re-expressed as a Ward identity for the gravitational S-matrix. The corresponding asymptotic symmetries are identified with 2m + 2-dimensional supertranslations. An alternat...

متن کامل

Asymptotic Symmetries of Massless QED in Even Dimensions

We consider the scattering of massless particles coupled to an abelian gauge field in 2n-dimensional Minkowski spacetime. Weinberg’s soft photon theorem is recast as Ward identities for infinitely many new nontrivial symmetries of the massless QED Smatrix, with one such identity arising for each propagation direction of the soft photon. These symmetries are identified as large gauge transformat...

متن کامل

Towards Flatspace Holography from Non-Relativistic Symmetries

The asymptotic group of symmetries at null infinity of flat spacetimes in three and four dimensions is the infinite dimensional Bondi-Metzner-Sachs (BMS) group. This has recently been shown to be isomorphic to non-relativistic conformal algebras in one lower dimension, the Galilean Conformal Algebra (GCA) in 2d and a closely related non-relativistic algebra in 3d [1]. We provide a better unders...

متن کامل

Asymptotic symmetries of Yang-Mills theory

Asymptotic symmetries at future null infinity (I+) of Minkowski space for electrodynamics with massless charged fields, as well as nonabelian gauge theories with gauge group G, are considered at the semiclassical level. The possibility of charge/color flux through I+ suggests the symmetry group is infinite-dimensional. It is conjectured that the symmetries include a G Kac-Moody symmetry whose g...

متن کامل

Asymptotic structure of radiation in higher dimensions

We characterize a general gravitational field near conformal infinity (null, spacelike, or timelike) in spacetimes of any dimension. This is based on an explicit evaluation of the dependence of the radiative component of the Weyl tensor on the null direction from which infinity is approached. The behaviour similar to peeling property is recovered, and it is shown that the directional structure ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006