59,284 research outputs found
Symplectic gaugings and the field-antifield formalism
We give an example of how conventional gauging methods obstruct a systematic
analysis of gauged supergravities. We discuss how the embedding tensor
formalism deals with these problems and argue that the gauge algebra related to
the embedding tensor formalism is soft, open and reducible. We connect the
embedding tensor formalism to the field-antifield (or Batalin-Vilkovisky)
formalism, which is the most general formulation known for gauge theories.Comment: Contribution to the Proceedings of the XVIth European Workshop on
String Theory in Madrid (June 14-18, 2010), 10 page
From the discrete to the continuous - towards a cylindrically consistent dynamics
Discrete models usually represent approximations to continuum physics.
Cylindrical consistency provides a framework in which discretizations mirror
exactly the continuum limit. Being a standard tool for the kinematics of loop
quantum gravity we propose a coarse graining procedure that aims at
constructing a cylindrically consistent dynamics in the form of transition
amplitudes and Hamilton's principal functions. The coarse graining procedure,
which is motivated by tensor network renormalization methods, provides a
systematic approximation scheme towards this end. A crucial role in this coarse
graining scheme is played by embedding maps that allow the interpretation of
discrete boundary data as continuum configurations. These embedding maps should
be selected according to the dynamics of the system, as a choice of embedding
maps will determine a truncation of the renormalization flow.Comment: 22 page
Gauged Supergravities in Various Spacetime Dimensions
In this review articel we study the gaugings of extended supergravity
theories in various space-time dimensions. These theories describe the
low-energy limit of non-trivial string compactifications. For each theory under
consideration we review all possible gaugings that are compatible with
supersymmetry. They are parameterized by the so-called embedding tensor which
is a group theoretical object that has to satisfy certain representation
constraints. This embedding tensor determines all couplings in the gauged
theory that are necessary to preserve gauge invariance and supersymmetry. The
concept of the embedding tensor and the general structure of the gauged
supergravities are explained in detail. The methods are then applied to the
half-maximal (N=4) supergravities in d=4 and d=5 and to the maximal
supergravities in d=2 and d=7. Examples of particular gaugings are given.
Whenever possible, the higher-dimensional origin of these theories is
identified and it is shown how the compactification parameters like fluxes and
torsion are contained in the embedding tensor.Comment: 155 pages, author's PhD thesi
- …