scholarly journals Unitary Extension of Exotic Massive 3D Gravity from Bigravity

2019 ◽  
Vol 123 (3) ◽  
Author(s):  
Mehmet Ozkan ◽  
Yi Pang ◽  
Utku Zorba
Keyword(s):  
Unitary Extension ◽  
3D Gravity

Numerical modeling and 3D-gravity inversion of the Vargeão impact structure formed in a mixed basalt/sandstone target, Paraná Basin, Brazil

2021 ◽  
pp. 103396
Author(s):  
Laian de Moura Silva ◽  
Marcos Alberto Rodrigues Vasconcelos ◽  
Vinamra Agrawal ◽  
Alvaro Penteado Crósta ◽  
Emilson Pereira Leite
Keyword(s):  
Numerical Modeling ◽  
Gravity Inversion ◽  
Impact Structure ◽  
Paraná Basin ◽  
3D Gravity ◽  
Parana Basin

scholarly journals Subsurface modelling of Kei Kecil Island with 3D gravity inversion

2021 ◽  
Vol 1918 (2) ◽  
pp. 022033
Author(s):  
Supriyadi ◽  
E Wijanarko ◽  
Khumaedi
Keyword(s):  
Gravity Inversion ◽  
3D Gravity

scholarly journals Poincaré series, 3d gravity and averages of rational CFT

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Viraj Meruliya ◽  
Sunil Mukhi ◽  
Palash Singh
Keyword(s):  
Poincaré Series ◽  
Simons Theory ◽  
Partition Functions ◽  
Moody Algebra ◽  
Modular Invariant ◽  
Poincare Series ◽  
Single Genus ◽  
3D Gravity ◽  
Chern Simons ◽  
Chern Simons Theory

Abstract We investigate the Poincaré series approach to computing 3d gravity partition functions dual to Rational CFT. For a single genus-1 boundary, we show that for certain infinite sets of levels, the SU(2)k WZW models provide unitary examples for which the Poincaré series is a positive linear combination of two modular-invariant partition functions. This supports the interpretation that the bulk gravity theory (a topological Chern-Simons theory in this case) is dual to an average of distinct CFT’s sharing the same Kac-Moody algebra. We compute the weights of this average for all seed primaries and all relevant values of k. We then study other WZW models, notably SU(N)1 and SU(3)k, and find that each class presents rather different features. Finally we consider multiple genus-1 boundaries, where we find a class of seed functions for the Poincaré sum that reproduces both disconnected and connected contributions — the latter corresponding to analogues of 3-manifold “wormholes” — such that the expected average is correctly reproduced.

scholarly journals The third way to 3D gravity

2015 ◽  
Vol 24 (12) ◽  
pp. 1544015 ◽  
Author(s):  
Eric Bergshoeff ◽  
Wout Merbis ◽  
Alasdair J. Routh ◽  
Paul K. Townsend
Keyword(s):  
Equations Of Motion ◽  
Massive Gravity ◽  
De Sitter ◽  
Gravitational Field Equation ◽  
Third Way ◽  
Metric Tensor ◽  
The Third ◽  
Higher Dimensional ◽  
Conservation Condition ◽  
3D Gravity

Consistency of Einstein’s gravitational field equation [Formula: see text] imposes a “conservation condition” on the [Formula: see text]-tensor that is satisfied by (i) matter stress tensors, as a consequence of the matter equations of motion and (ii) identically by certain other tensors, such as the metric tensor. However, there is a third way, overlooked until now because it implies a “nongeometrical” action: one not constructed from the metric and its derivatives alone. The new possibility is exemplified by the 3D “minimal massive gravity” model, which resolves the “bulk versus boundary” unitarity problem of topologically massive gravity with Anti-de Sitter asymptotics. Although all known examples of the third way are in three spacetime dimensions, the idea is general and could, in principle, apply to higher dimensional theories.

3D gravity modelling of the Chicxulub impact structure

2001 ◽  
Vol 49 (6) ◽  
pp. 599-609 ◽  
Author(s):  
Jörg Ebbing ◽  
Peter Janle ◽  
Jannis Koulouris ◽  
Bernd Milkereit
Keyword(s):  
Impact Structure ◽  
Gravity Modelling ◽  
3D Gravity ◽  
Chicxulub Impact

scholarly journals 3d gravity and quantum deformations: a Drinfel'd double approach

2012 ◽  
Vol 360 ◽  
pp. 012010
Author(s):  
A Ballesteros ◽  
F J Herranz ◽  
C Meusburger
Keyword(s):  
Drinfel’D Double ◽  
Quantum Deformations ◽  
Double Approach ◽  
3D Gravity

On Parseval Wavelet Frames with Two or Three Generators via the Unitary Extension Principle

2014 ◽  
Vol 57 (2) ◽  
pp. 254-263 ◽  
Author(s):  
Ole Christensen ◽  
Hong Oh Kim ◽  
Rae Young Kim
Keyword(s):  
Extension Principle ◽  
Sufficient Condition ◽  
Wavelet Frame ◽  
Wavelet Frames ◽  
Wavelet System ◽  
Number Of Generators ◽  
Unitary Extension

AbstractThe unitary extension principle (UEP) by A. Ron and Z. Shen yields a sufficient condition for the construction of Parseval wavelet frames with multiple generators. In this paper we characterize the UEP-type wavelet systems that can be extended to a Parseval wavelet frame by adding just one UEP-type wavelet system. We derive a condition that is necessary for the extension of a UEP-type wavelet system to any Parseval wavelet frame with any number of generators and prove that this condition is also sufficient to ensure that an extension with just two generators is possible.

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