Results 61 to 70 of about 200,382 (172)

Generalised kinematics for double field theory

Journal of High Energy Physics, 2017
We formulate a kinematical extension of Double Field Theory on a 2d-dimensional para-Hermitian manifold Pηω $$ \left(\mathcal{P},\eta, \omega \right) $$ where the O(d, d) metric η is supplemented by an almost symplectic two-form ω.
Laurent Freidel, Felix J. Rudolph, David Svoboda   +2 more
doaj   +1 more source

Weil-Petersson Metric Geometry Quick Overview [PDF]

arXiv, 2007
A quick overview is provided on the current development of the WP metric geometry.
arxiv  

Lorentz signature and twisted spectral triples

Journal of High Energy Physics, 2018
We show how twisting the spectral triple of the Standard Model of elementary particles naturally yields the Krein space associated with the Lorentzian signature of spacetime. We discuss the associated spectral action, both for fermions and bosons.
A. Devastato, S. Farnsworth, F. Lizzi, P. Martinetti   +3 more
doaj   +1 more source

Curvature properties of Weyl geometries [PDF]

arXiv, 2010
We examine relations between geometry and the associated curvature decompositions in Weyl geometry.
arxiv  

Modular Theory, Non-Commutative Geometry and Quantum Gravity

Symmetry, Integrability and Geometry: Methods and Applications, 2010
This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A.
Wicharn Lewkeeratiyutkul, Paolo Bertozzini, Roberto Conti   +2 more
doaj   +1 more source

Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry

Discussiones Mathematicae - General Algebra and Applications, 2017
In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
doaj   +1 more source

Galois theory and projective geometry [PDF]

arXiv, 2011
We explore connections between birational anabelian geometry and abstract projective geometry. One of the applications is a proof of a version of the birational section conjecture.
arxiv  

Exploring geodesics, quantum fields and thermodynamics of Schwarzschild-AdS black hole with a global monopole in non-commutative geometry

Nuclear Physics B
This work presents a comprehensive analysis of the geodesic motion, scalar field perturbations, and thermodynamic behavior of a static, spherically symmetric black hole solution arising within the framework of non-commutative geometry and incorporating ...
Faizuddin Ahmed, Ahmad Al-Badawi, İzzet Sakallı   +2 more
doaj  

Modular forms in the spectral action of Bianchi IX gravitational instantons

Journal of High Energy Physics, 2019
We prove a modularity property for the heat kernel and the Seeley-deWitt coefficients of the heat kernel expansion for the Dirac-Laplacian on the Bianchi IX gravitational instantons.
Wentao Fan, Farzad Fathizadeh, Matilde Marcolli   +2 more
doaj   +1 more source

Simulating general relativity and non-commutative geometry by non-paraxial quantum fluids

New Journal of Physics, 2019
We show that quantum fluids enable experimental analogs of relativistic orbital precession in the presence of non-paraxial effects. The analysis is performed by the hydrodynamic limit of the Schrödinger equation.
Giulia Marcucci, Claudio Conti
doaj   +1 more source