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Inhomogeneous quantum critical systems in one spatial dimension have been studied by using conformal field theory in static curved backgrounds. Two interesting examples are the free fermion gas in the harmonic trap and the inhomogeneous XX…

Statistical Mechanics · Physics 2019-02-18 Erik Tonni , Javier Rodríguez-Laguna , Germán Sierra

An exact time-dependent solution of a black hole is found in conformally invariant gravity on a warped Randall-Sundrum spacetime, by writing the metric $g_{\mu\nu}=\omega^{\frac{4}{n-2}}\tilde g_{\mu\nu}$. Here $\tilde g_{\mu\nu}$…

High Energy Physics - Theory · Physics 2021-07-19 Reinoud J. Slagter

We investigate field theory puzzles occuring in the interplay between supersymmetry and duality in the presense of rotational isometries (also known as non-triholomorphic in hyper-Kahler geometry). We show that T-duality is always…

High Energy Physics - Theory · Physics 2007-05-23 I. Bakas , K. Sfetsos

A hyperunified field theory is built in detail based on the postulates of gauge invariance and coordinate independence along with the conformal scaling symmetry. All elementary particles are merged into a single hyper-spinor field and all…

High Energy Physics - Theory · Physics 2018-02-14 Yue-Liang Wu

First, the present work is concerned with generalising constructions and results in quantum field theory on curved spacetimes from the well-known case of the Klein-Gordon field to Dirac fields. To this end, the enlarged algebra of…

General Relativity and Quantum Cosmology · Physics 2010-10-22 Thomas-Paul Hack

We consider a conformal system of a string and a particle defined in D=10+2 space-time dimensions. The extra time-like dimension is a gauge artifact and can be eliminated by choosing a gauge in which the SO(10,1) Lorentz symmetry is…

High Energy Physics - Theory · Physics 2007-05-23 Costas Kounnas

We investigate the conformal invariant Lagrangian of the self-gravitating U(1) scalar-gauge field and find new features of the model on the time-dependent axially symmetric Bondi-Marder spacetime. By considering the conformal symmetry as…

General Relativity and Quantum Cosmology · Physics 2018-11-06 Reinoud Jan Slagter

We formulate conformal field theory in the setting of algebraic quantum field theory as Haag-Kastler nets of local observable algebras with diffeomorphism covariance on the two-dimensional Minkowski space. We then obtain a decomposition of…

Mathematical Physics · Physics 2007-05-23 Yasuyuki Kawahigashi

The symmetry properties of a proposal to go beyond relativistic quantum field theory based on a modification of the commutation relations of fields are identified. Poincar\'e invariance in an auxiliary spacetime is found in the Lagrangian…

High Energy Physics - Theory · Physics 2011-08-23 J. M. Carmona , J. L. Cortes , J. Indurain , D. Mazon

The aim of these notes is to elucidate some aspects of quantum field theory in curved spacetime, especially those relating to the notion of particles. A selection of issues relevant to wave-particle duality is given. The case of a generic…

General Physics · Physics 2008-03-13 Vladimir Mashkevich

This article presents a precise description of the interplay between the symmetries of a quantum or classical theory with spacetime interpretation, and some of its physical properties relating to causality, horizons and positive energy. Our…

High Energy Physics - Theory · Physics 2007-05-23 Christophe Patricot

A general technique is outlined for investigating supersymmetry properties of a charged spin-$\half$ quantum particle in time-varying electromagnetic fields. The case of a time-varying uniform magnetic induction is examined and shown to…

High Energy Physics - Theory · Physics 2009-09-25 V. Alan Kostelecký , V. I. Man'ko , Michael Martin Nieto , D. Rodney Truax

We investigate the spacetime of a spinning cosmic string in conformal invariant gravity, where the interior consists of a gauged scalar field. We find exact solutions of the exterior of a stationary spinning cosmic string, where we write…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Reinoud Jan Slagter

The method of scaling algebras, which has been introduced earlier as a means for analyzing the short-distance behaviour of quantum field theories in the setting of the model-independent, operator-algebraic approach, is extended to the case…

Mathematical Physics · Physics 2009-11-10 Claudio D'Antoni , Gerardo Morsella , Rainer Verch

The proposed theory of causally structured discrete fields studies integer values on directed edges of a self-similar graph with a propagation rule, which we define as a set of valid combinations of integer values and edge directions around…

General Relativity and Quantum Cosmology · Physics 2020-01-30 K. V. Bayandin

In fundamental theories that accounts for quantum gravitational effects, the spacetime causal structure is expected to be quantum uncertain. Previous studies of quantum causal structure focused on finite-dimensional systems. Here we present…

Quantum Physics · Physics 2019-02-18 Ding Jia

In terms of Dirac matrices the self-dual and anti-self-dual decomposition of a conformal supergravity is given and a self-dual conformal supergravity theory is developed as a connection dynamic theory in which the basic dynamic variabes…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Guoying Chee , Yanhua Jia

We consider four dimensional heterotic string backgrounds for which supersymmetry is spontaneously broken via the Scherk-Schwarz mechanism on an internal spatial cycle and by finite temperature effects. We concentrate on initially flat…

High Energy Physics - Theory · Physics 2016-10-19 Tristan Catelin-Jullien , Costas Kounnas , Herve Partouche , Nicolaos Toumbas

We consider a quantum field theory on a spherically symmetric quantum space time described by loop quantum gravity. The spin network description of space time in such a theory leads to equations for the quantum field that are discrete. We…

General Relativity and Quantum Cosmology · Physics 2015-06-02 Rodolfo Gambini , Jorge Pullin

A family of modified $(0,1)$ heterotic string models in D=4 is constructed in which the strings incorporate $R$ flux tubes which may in special cases support a local spacetime superconformal symmetry consistent with quantum mechanics. There…

High Energy Physics - Theory · Physics 2007-05-23 Michael Hewitt