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Typical dualities in arbitrary dimensions are understood through a Hilbert-space extension method. By these results, we rigorously dualize the quantum ingappabilities to discrete height model in one dimension which is inaccessible by…

强关联电子 · 物理学 2024-09-06 Yuan Yao

In this paper we discuss some aspects of N=1 type I-heterotic string duality in four dimensions. We consider a particular example of a (weak-weak) dual pair where on the type I side there are only D9-branes corresponding to perturbative…

高能物理 - 理论 · 物理学 2009-10-30 Zurab Kakushadze

Double field theory provides T-duality covariant generalized tensors that are natural extensions of the scalar and Ricci curvatures of Riemannian geometry. We search for a similar extension of the Riemann curvature tensor by developing a…

高能物理 - 理论 · 物理学 2015-06-03 Olaf Hohm , Barton Zwiebach

This is the second in a series of papers on natural modification of the normal tractor connection in a parabolic geometry, which naturally prolongs an underlying overdetermined system of invariant differential equations. We give a short…

微分几何 · 数学 2011-03-17 Matthias Hammerl , Petr Somberg , Vladimír Souček , Josef Šilhan

We show that, if one allows for curved deformations, the canonical map introduced in [KL09] between Morita deformations and second Hochschild cohomology of a dg algebra becomes a bijection. We also show that a bimodule induces an…

K理论与同调 · 数学 2025-03-05 Alessandro Lehmann

We review categorical aspects of 't Hooft's large $N$ expansion, which is expected to map any Quantum Field Theory of large matrices to a string theory. Our goal is to describe a general strategy to derive the string theory dual to given…

高能物理 - 理论 · 物理学 2025-11-26 Davide Gaiotto

This paper describes and proves a canonical procedure to decouple perturbations and optimize their gauge around backgrounds with one non-homogeneous dimension, namely of co-homogeneity 1, while preserving locality in this dimension.…

高能物理 - 理论 · 物理学 2007-05-23 Barak Kol

We provide some additional evidence in favour of the strong - weak coupling duality between the SO(32) heterotic and type I superstring theories by comparing terms quartic in the gauge field strength in their low-energy effective actions.…

高能物理 - 理论 · 物理学 2009-09-17 A. A. Tseytlin

We define cohomology of associative H-pseudoalgebras, and we show that it describes module extensions, abelian pseudoalgebra extensions, and pseudoalgebra first order deformations. We describe in details the same results for the special…

量子代数 · 数学 2022-12-19 Jose I. Liberati

The purpose of this paper is to study deformation theory of Hom-associative algebra morphisms and Hom-Lie algebra morphisms. We introduce a suitable cohomology and discuss Infinitesimal deformations, equivalent deformations and…

环与代数 · 数学 2017-10-23 Anja Arfa , Nizar Ben Fraj , Abdenacer Makhlouf

Two classifications of second order ODE's cubic with respect to the first order derivative are compared in the case of general position, which is common for both classifications. The correspondence of vectorial, pseudovectorial, scalar, and…

经典分析与常微分方程 · 数学 2017-04-18 Ruslan Sharipov

Superfield methods can be used to determine the precise way the self-dual five-form couples to the metric in the first non-trivial $\alpha'$ corrections to type IIB supergravity. We explicitly compute the exact tensor structure of these…

高能物理 - 理论 · 物理学 2010-04-22 M. F. Paulos

As an alternative to the covariant Ostrogradski method, we show that higher-derivative relativistic Lagrangian field theories can be reduced to second differential-order by writing them directly as covariant two-derivative theories…

高能物理 - 理论 · 物理学 2008-11-26 F. J. de Urries , J. Julve , Eduardo J. S. Villaseñor

We examine the role of global topological data associated to choices of holonomy for flat gauge fields in string compactification. Our study begins with perturbative string compactification on compact flat manifolds preserving 8…

高能物理 - 理论 · 物理学 2023-05-03 Peng Cheng , Ilarion V. Melnikov , Ruben Minasian

Lorentz covariant generalisations of the notions of supersymmetry, superspace and self-duality are discussed. The essential idea is to extend standard constructions by allowing tangent vectors and coordinates which transform according to…

高能物理 - 理论 · 物理学 2009-10-31 Chandrashekar Devchand , Jean Nuyts

The usual prescription for constructing gauge-invariant Lagrangian is generalized to the case where a Lagrangian contains second derivatives of fields as well as first derivatives. Symmetric tensor fields in addition to the usual vector…

高能物理 - 理论 · 物理学 2017-02-01 Shinji HAMAMOTO

A covariant approach towards a theory of deformations is developed to examine both the first and second variation of the Helfrich-Canham Hamiltonian -- quadratic in the extrinsic curvature -- which describes fluid vesicles at mesoscopic…

软凝聚态物质 · 物理学 2009-11-10 Riccardo Capovilla , Jemal Guven

We investigate higher-order corrections to correlators in a general CFT (conformal field theory) with the double-trace $T\bar{T}$ deformation. Standard perturbation theory proves inadequate for this problem due to the intricate…

高能物理 - 理论 · 物理学 2025-07-31 Song He , Yuan Sun , Jiashi Yin

We present a general formalism for incorporating the string corrections in generalised geometry, which necessitates the extension of the generalised tangent bundle. Not only are such extensions obstructed, string symmetries and the…

高能物理 - 理论 · 物理学 2016-08-08 André Coimbra , Ruben Minasian , Hagen Triendl , Daniel Waldram

When the gauge groups of the two heterotic string theories are broken, over tori, to their "SO(16)x SO(16)" subgroups, the winding modes correspond to representations which are spinorial with respect to those subgroups. Globally, the two…

高能物理 - 理论 · 物理学 2008-11-26 Brett McInnes