Results 51 to 60 of about 10,271 (122)
From the conformal anomaly to the Virasoro algebra
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
wiley +1 more source
"Quantization is a mystery" [PDF]
, 2012 Expository notes which combine a historical survey of the development of quantum physics with a review of selected mathematical topics in quantization theory (addressed to students that are not complete novices in quantum mechanics). After recalling in
Todorov, Ivan
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In Search of Fundamental Discreteness in 2+1 Dimensional Quantum Gravity
, 2009 Inspired by previous work in 2+1 dimensional quantum gravity, which found evidence for a discretization of time in the quantum theory, we reexamine the issue for the case of pure Lorentzian gravity with vanishing cosmological constant and spatially ...
Budd, T. G., Loll, R.
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Geometric Relational Framework for General‐Relativistic Gauge Field Theories
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract It is recalled how relationality arises as the core insight of general‐relativistic gauge field theories from the articulation of the generalized hole and point‐coincidence arguments. Hence, a compelling case for a manifestly relational framework ensues naturally.
Jordan T. François, Lucrezia Ravera
wiley +1 more source
Groupoids, Loop Spaces and Quantization of 2-Plectic Manifolds
, 2012 We describe the quantization of 2-plectic manifolds as they arise in the context of the quantum geometry of M-branes and non-geometric flux compactifications of closed string theory.
Axenides M. +26 more
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Open String Renormalization Group Flow as a Field Theory
Fortschritte der Physik, Volume 72, Issue 11, November 2024.Abstract This article shows that the integral flow‐lines of the RG‐flow of open string theory can be interpreted as the solitons of a Hořova–Lifshitz sigma‐model of open membranes. The authors argue that the effective background description of this model implies the g‐theorem of open string theory.
Julius Hristov
wiley +1 more source
Airy structures and deformations of curves in surfaces
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract An embedded curve in a symplectic surface Σ⊂X$\Sigma \subset X$ defines a smooth deformation space B$\mathcal {B}$ of nearby embedded curves. A key idea of Kontsevich and Soibelman is to equip the symplectic surface X$X$ with a foliation in order to study the deformation space B$\mathcal {B}$.
W. Chaimanowong +3 more
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Deformation Quantization: Genesis, Developments and Metamorphoses
, 2002 We start with a short exposition of developments in physics and mathematics that preceded, formed the basis for, or accompanied, the birth of deformation quantization in the seventies.
Dito, Giuseppe, Sternheimer, Daniel
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Symplectic spinors and Hodge theory [PDF]
, 2017 Results on symplectic spinors and their higher spin versions, concerning representation theory and cohomology properties are presented. Exterior forms with values in the symplectic spinors are decomposed into irreducible modules including finding the ...
Krýsl, Svatopluk
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Geometrical origin of the *-product in the Fedosov formalism
, 2004 The construction of the *-product proposed by Fedosov is implemented in terms of the theory of fibre bundles. The geometrical origin of the Weyl algebra and the Weyl bundle is shown.
Abraham +85 more
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