Results 21 to 30 of about 426,506 (223)

CONFORMAL VECTOR FIELDS AND TOTALLY UMBILIC HYPERSURFACES [PDF]

Bulletin of the Korean Mathematical Society, 2002
Let \((M^n,g)\), \(n\geq 2\), be a connected semi-Riemannian hypersurface of a semi-Riemannian space form \((\overline{M}_k^{n+1}(\overline{c}),\overline{g})\) of signature \(k\). Assume that the ambient manifold carries a conformal vector field \(V\) such that the tangential part \((V|M^n)^T\) becomes a conformal vector field on the hypersurface. Then
Kim, Dong-Soo, Kim, Seon-Bu, Kim, Young Ho, Park, Seong-Hee   +3 more
openaire   +1 more source

Conformal Symmetries of the Strumia–Tetradis’ Metric

Physical Sciences Forum, 2023
In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature ...
Pantelis S. Apostolopoulos, Christos Tsipogiannis   +1 more
doaj   +1 more source

Conformal vector dark matter and strongly first-order electroweak phase transition [PDF]

Journal of High Energy Physics, 2019
A bstractWe study a conformal version of the Standard Model (SM), which apart from SM sector, containing a UD(1) dark sector with a vector dark matter candidate and a scalar field (scalon).
S. Y. Ayazi, Ahmad Mohamadnejad
semanticscholar   +1 more source

Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski-West Construction [PDF]

, 2014
I present a construction of real or complex selfdual conformal 4-manifolds (of signature (2,2) in the real case) from a natural gauge field equation on a real or complex projective surface, the gauge group being the group of diffeomorphisms of a real or ...
Calderbank, David M. J.
core   +5 more sources

Conformal vector fields on statistical manifolds

Revista de la Unión Matemática Argentina, 2022
This paper introduces the notion of conformal vector field on a statistical manifold. A statistical manifold is a triple \((M,g,T)\), where \(g\) is a Riemannian metric tensor on the smooth manifold \(M\), and \(T\) is a covariant tensor of order 3 which is fully symmetric. An equivalent definition can be given replacing \(T\) with an affine connection
Samereh, Leila, Peyghan, Esmaeil
openaire   +1 more source

Axiomatic Conformal Field Theory [PDF]

, 1998
A new rigorous approach to conformal field theory is presented. The basic objects are families of complex-valued amplitudes, which define a meromorphic conformal field theory (or chiral algebra) and which lead naturally to the definition of topological ...
Gaberdiel, Matthias R, Goddard, Peter
core   +3 more sources

Spontaneous vectorization in the presence of vector-field coupling to matter [PDF]

, 2020
We examine the possibility of spontaneous vectorization in the vector-tensor theories with the vector conformal and disformal couplings to matter. We study the static and spherically symmetric solutions of the relativistic stars with the nontrivial ...
Masato Minamitsuji
semanticscholar   +1 more source

Discreteness and integrality in Conformal Field Theory [PDF]

Journal of High Energy Physics, 2020
Various observables in compact CFTs are required to obey positivity, discreteness, and integrality. Positivity forms the crux of the conformal bootstrap, but understanding of the abstract implications of discreteness and integrality for the space of CFTs
Justin Kaidi, Eric Perlmutter
semanticscholar   +1 more source

Conformal and Disformal Structure of 3D Circularly Symmetric Static Metric in f(R) Theory of Gravity

Mehran University Research Journal of Engineering and Technology, 2020
conformal vector fields are treated as generalization of homothetic vector fields while disformal vector fields are defined through disformal transformations which are generalization of conformal transformations, therefore it is important to study ...
Muhammad Ramzan, Murtaza Ali, Fiaz Hussain   +2 more
doaj   +1 more source

Partition functions of higher derivative conformal fields on conformally related spaces

Journal of High Energy Physics, 2021
The character integral representation of one loop partition functions is useful to establish the relation between partition functions of conformal fields on Weyl equivalent spaces.
Jyotirmoy Mukherjee
doaj   +1 more source