scholarly journals Scale and Weyl invariance in Einstein-Cartan gravity

2021 ◽  
Vol 104 (12) ◽  
Author(s):  
Georgios K. Karananas ◽  
Mikhail Shaposhnikov ◽  
Andrey Shkerin ◽  
Sebastian Zell
Keyword(s):  
Weyl Invariance

scholarly journals BMS field theories and Weyl anomaly

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Arjun Bagchi ◽  
Sudipta Dutta ◽  
Kedar S. Kolekar ◽  
Punit Sharma
Keyword(s):  
Three Dimensions ◽  
Field Theories ◽  
Partition Functions ◽  
Two Dimensional ◽  
Speed Of Light ◽  
Asymptotically Flat ◽  
Weyl Invariance ◽  
Flat Spacetimes ◽  
Liouville Action ◽  
Null Surfaces

Abstract Two dimensional field theories with Bondi-Metzner-Sachs symmetry have been proposed as duals to asymptotically flat spacetimes in three dimensions. These field theories are naturally defined on null surfaces and hence are conformal cousins of Carrollian theories, where the speed of light goes to zero. In this paper, we initiate an investigation of anomalies in these field theories. Specifically, we focus on the BMS equivalent of Weyl invariance and its breakdown in these field theories and derive an expression for Weyl anomaly. Considering the transformation of partition functions under this symmetry, we derive a Carrollian Liouville action different from ones obtained in the literature earlier.

Chiral strings, topological branes, and a generalised Weyl-invariance

2019 ◽  
Vol 34 (06n07) ◽  
pp. 1950031 ◽  
Author(s):  
Alex S. Arvanitakis
Keyword(s):  
Field Theory ◽  
Sigma Model ◽  
Space Time ◽  
Symplectic Space ◽  
Topological Field Theory ◽  
Brst Operator ◽  
Weyl Invariance ◽  
Fixed Action ◽  
Twistor Strings ◽  
Topological Field

We introduce a sigma model Lagrangian generalising a number of new and old models which can be thought of as chiral, including the Schild string, ambitwistor strings, and the recently introduced tensionless AdS twistor strings. This “chiral sigma model” describes maps from a [Formula: see text]-brane worldvolume into a symplectic space and is manifestly invariant under diffeomorphisms as well as under a “generalised Weyl invariance” acting on space–time coordinates and worldvolume fields simultaneously. Construction of the Batalin–Vilkovisky master action leads to a BRST operator under which the gauge-fixed action is BRST-exact; we discuss whether this implies that the chiral brane sigma model defines a topological field theory.

Weyl invariance and covariant gauge fixing for string fields

1987 ◽  
Vol 192 (3-4) ◽  
pp. 339-345 ◽  
Author(s):  
Laurent Baulieu ◽  
Adel Bilal
Keyword(s):  
Weyl Invariance ◽  
Gauge Fixing ◽  
Covariant Gauge

FIRST ORDER, 2D, EINSTEIN GRAVITIES

1996 ◽  
Vol 05 (06) ◽  
pp. 579-582
Author(s):  
S. DESER
Keyword(s):  
Variational Method ◽  
Second Order ◽  
First Order ◽  
Weyl Invariance

The Palatini variational method breaks down in 2D: First order forms of the Einstein action do not fix the affinity completely, as they possess an additional, Weyl, invariance absent in the second order versions.

scholarly journals 2D GRAVITY WITHOUT TEST PARTICLES IS POINTLESS

2001 ◽  
Vol 16 (24) ◽  
pp. 1597-1600 ◽  
Author(s):  
D. GRUMILLER ◽  
D. HOFMANN ◽  
W. KUMMER
Keyword(s):  
2D Gravity ◽  
Weyl Invariance ◽  
Test Particles

Claims of a general Weyl invariance of an arbitrary 2D dilaton theory are critically discussed.

scholarly journals Quantum Weyl invariance and cosmology

2016 ◽  
Vol 760 ◽  
pp. 31-35 ◽  
Author(s):  
Atish Dabholkar
Keyword(s):  
Weyl Invariance

scholarly journals QUANTIZATION OF BOSONIC STRING MODEL IN (26+2)-DIMENSIONAL SPACE–TIME

2004 ◽  
Vol 19 (12) ◽  
pp. 1923-1959 ◽  
Author(s):  
TAKUYA TSUKIOKA ◽  
YOSHIYUKI WATABIKI
Keyword(s):  
Dimensional Space ◽  
String Model ◽  
Space Time ◽  
Bosonic String ◽  
World Sheet ◽  
Light Cone Gauge ◽  
Weyl Invariance ◽  
Background Space ◽  
Dimensional Space Time ◽  
Gauge Formulation

We investigate the quantization of the bosonic string model which has a local U (1) V × U (1) A gauge invariance as well as the general coordinate and Weyl invariance on the world-sheet. The model is quantized by Lagrangian and Hamiltonian BRST formulations á la Batalin, Fradkin and Vilkovisky and noncovariant light-cone gauge formulation. Upon the quantization the model turns out to be formulated consistently in (26+2)-dimensional background space–time involving two time-like coordinates.

LOCAL WORLD SHEET WEYL-INVARIANCE IN THE PRESENCE OF BACKGROUND CHARGES

1992 ◽  
Vol 07 (14) ◽  
pp. 3389-3402 ◽  
Author(s):  
U. ELLWANGER ◽  
J. SCHNITTGER
Keyword(s):  
Path Integral ◽  
Special Class ◽  
Vertex Operators ◽  
World Sheet ◽  
Consistency Conditions ◽  
Weyl Invariance ◽  
Trace Anomaly

We derive the consistency conditions that follow from imposing local Weyl-invariance on the Polyakov path integral in a general background. In contrast to previous attempts our approach allows for the inclusion of curvature-dependent couplings like the dilaton and in particular of background charges. The resulting equation displays explicitly the corresponding modifications of the trace anomaly and the scale dimensions of vertex operators. A special class of solutions is discussed which, in particular, allows one to interpret the screening operators of Fateev and Dotsenko as an interaction Lagrangian.

scholarly journals REMARKS ON WEYL INVARIANT p-BRANES AND Dp-BRANES

2001 ◽  
Vol 16 (40) ◽  
pp. 2567-2578 ◽  
Author(s):  
J. A. NIETO
Keyword(s):  
Effective Action ◽  
Higher Dimensions ◽  
Invariant Action ◽  
Weyl Invariance

A mechanism to find different Weyl invariant p-branes and Dp-branes actions is explained. Our procedure clarifies the Weyl invariance for such systems. Besides, by considering gravity–dilaton effective action in higher dimensions, we also derive a Weyl invariant action for p-branes. We argue that this derivation provides a geometrical scenario for the Weyl invariance of p-branes. Our considerations can be extended to the case of super-p-branes.

scholarly journals WEYL INVARIANCE AND SPURIOUS BLACK HOLES IN TWO-DIMENSIONAL DILATON GRAVITY

1994 ◽  
Vol 09 (27) ◽  
pp. 4811-4835 ◽  
Author(s):  
TAKANORI FUJIWARA ◽  
YUJI IGARASHI ◽  
JISUKE KUBO
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Hawking Radiation ◽  
Gravity Models ◽  
Conformal Anomaly ◽  
Quantum Level ◽  
Two Dimensional ◽  
Dilaton Gravity ◽  
Matter Coupling ◽  
Weyl Invariance

In two-dimensional dilaton gravity theories, there may exist a global Weyl invariance which makes the black hole spurious. If the global invariance and the local Weyl invariance of the matter coupling are intact at the quantum level, there is no Hawking radiation. We explicitly verify the absence of anomalies in these symmetries for the model proposed by Callan, Giddings, Harvey and Strominger. The crucial observation is that the conformal anomaly can be cohomologically trivial and so not truly anomalous in such dilaton gravity models.

Sign in / Sign up

Export Citation Format

Share Document