Complexity change under conformal transformations in AdS3/CFT2
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep05(2019)003
Abstract: A bstractUsing the volume proposal, we compute the change of complexity of holographic states caused by a small conformal transformation in AdS3/CF T2. This computation is done perturbatively to second order. We give a general… read more here.
Keywords: transformations ads3; ads3 cft2; change conformal; conformal transformations ... See more keywords
S-closed conformal transformations in Finsler geometry
Sign Up to like & getrecommendations! Published in 2018 at "Differential Geometry and Its Applications"
DOI: 10.1016/j.difgeo.2018.02.004
Abstract: Abstract In this paper, we study S-closed conformal transformations, i.e., conformal transformations preserving the S-curvature invariant. Using the maximum principle, we prove that such transformation must be a homothety unless the Finsler manifold is Riemannian. read more here.
Keywords: finsler geometry; conformal transformations; transformations finsler; closed conformal ... See more keywords
Equivalence properties of 3D conformal transformations and their application to reverse transformations
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DOI: 10.1080/00396265.2019.1708604
Abstract: Seven-parameter conformal coordinate transformations, also known as Helmert transformations, can be constructed in more than one way. Two possible orderings of the rotations are in common use, giving rise to Helmert versions 1 and 2.… read more here.
Keywords: properties conformal; conformal transformations; equivalence properties; transformations application ... See more keywords
The cosmological constant from conformal transformations: Möbius invariance and Schwarzian action
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DOI: 10.1088/1361-6382/abb577
Abstract: The homogeneous Friedman-Lema\^itre-Robertson-Walker (FLRW) cosmology of a free scalar field with vanishing cosmological constant was recently shown to be invariant under the one-dimensional conformal group $\textrm{SL}(2,\mathbb{R})$ acting as M{o}bius transformations on the proper time. Here… read more here.
Keywords: conformal transformations; cosmological constant; cosmology; time ... See more keywords
Scalar-torsion theories of gravity I: general formalism and conformal transformations
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DOI: 10.1103/physrevd.98.064002
Abstract: We discuss the most general class of teleparallel scalar-torsion theories of gravity in their covariant formulation. The only restrictions we impose are the invariance of the action under diffeomorphisms and local Lorentz transformations, as well… read more here.
Keywords: torsion theories; conformal transformations; theories gravity; scalar torsion ... See more keywords
Conformal transformations and curvature
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Knot Theory and Its Ramifications"
DOI: 10.1142/s0218216519500202
Abstract: In this paper, we discuss the relationship between conformal transformations of [Formula: see text] and the curvature of curves. First, for any non-circular closed curve, there exists a length-preserving inversion such that the maximum pointwise… read more here.
Keywords: closed curve; conformal transformations; curvature; formula see ... See more keywords