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We undertake a detailed study of the gaugings of two-dimensional Yang-Mills theory by its intrinsic charge conjugation 0-form and centre 1-form global symmetries, elucidating their higher algebraic and geometric structures, as well as the…

High Energy Physics - Theory · Physics 2024-03-26 Leonardo Santilli , Richard J. Szabo

We relate the computational complexity of finite strings to universal representations of their underlying symmetries. First, Boolean functions are classified using the universal covering topologies of the circuits which enumerate them. A…

Information Theory · Computer Science 2011-09-20 John Scoville

After many years, the deep nature of spacetime in string theory remains an enigma. In this letter we incorporate the concept of Born reciprocity in order to provide a new point of view on string theory in which spacetime is a derived…

High Energy Physics - Theory · Physics 2015-06-16 Laurent Freidel , Robert G. Leigh , Djordje Minic

A method is presented by which a hidden N=2 superconformal symmetry can be exhibited in a string theory or indeed in a topological conformal field theory. More precisely, we present strong evidence, based on calculations with string…

High Energy Physics - Theory · Physics 2016-12-21 J. M. Figueroa-O'Farrill

Symmetry topological field theory (SymTFT) is a convenient tool for studying finite generalized symmetries of a given quantum field theory (QFT). In particular, SymTFTs encode all the symmetry structures and properties, including anomalies.…

High Energy Physics - Theory · Physics 2026-03-24 Fabio Apruzzi , Francesco Bedogna , Nicola Dondi

Equivariant quantization is a new theory that highlights the role of symmetries in the relationship between classical and quantum dynamical systems. These symmetries are also one of the reasons for the recent interest in quantization of…

Differential Geometry · Mathematics 2015-05-18 N. Poncin , F. Radoux , R. Wolak

The particle spectrum of the supersymmetric extension of the standard model with a gauge singlet is studied. Soft supersymmetry breaking terms are explicitly chosen to be non-universal according to orbifold string theory. they depend on…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ph. Brax , U. Ellwanger , C. A. Savoy

I argue that the ten dimensional non--supersymmetric tachyonic superstrings may serve as good starting points for the construction of viable phenomenological vacua. Thus, enlarging the space of possible solutions that may address some of…

High Energy Physics - Theory · Physics 2019-12-17 Alon E. Faraggi

This is an introduction to the group field theory approach to quantum gravity, with emphasis on motivations and basic formalism, more than on recent results; we elaborate on the various ingredients, both conceptual and formal, of the…

General Relativity and Quantum Cosmology · Physics 2012-03-27 Daniele Oriti

A method of constructing a canonical gauge invariant quantum formulation for a non-gauge classical theory depending on a set of parameters is advanced and then applied to the theory of closed bosonic string interacting with massive…

High Energy Physics - Theory · Physics 2009-10-30 I. L. Buchbinder , V. D. Pershin , G. B. Toder

Quantization of closed string proceeds with a suitable choice of worldsheet vacuum. A priori, the vacuum may be chosen independently for left-moving and right-moving sectors. We construct {\sl ab initio} quantized bosonic string theory with…

High Energy Physics - Theory · Physics 2017-12-11 Kanghoon Lee , Soo-Jong Rey , J. A. Rosabal

In addition to being a prime candidate for a fundamental unified theory of all interactions in nature, string theory provides a natural setting to understand gauge field theories. This is linked to the concept of "D-branes": extended,…

High Energy Physics - Phenomenology · Physics 2015-06-25 Sunil Mukhi

In algebraic quantum field theory the spacetime manifold is replaced by a suitable base for its topology ordered under inclusion. We explain how certain topological invariants of the manifold can be computed in terms of the base poset. We…

Algebraic Topology · Mathematics 2012-08-22 John E. Roberts , Giuseppe Ruzzi , Ezio Vasselli

Studying a quantum field theory involves a choice of space-time manifold and a choice of background for any global symmetries of the theory. We argue that many more choices are possible when specifying the background. In the context of…

High Energy Physics - Theory · Physics 2016-12-21 Travis Maxfield , Daniel Robbins , Savdeep Sethi

Every conformal field theory has the symmetry of taking each field to its adjoint. We consider here the quotient (orbifold) conformal field theory obtained by twisting with respect to this symmetry. A general method for computing such…

High Energy Physics - Theory · Physics 2013-11-01 Doron Gepner , Herve Partouche

A very brief review is given of the current state of research in quantum gravity. Over the past fifteen years, two approaches have emerged as the most promising paths to a quantum theory of gravity: string theory and quantum geometry. I…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gary T. Horowitz

Quantum Relativity is supposed to be a new theory, which locally is a deformation of Special Relativity, and globally it is a background independent theory including the main ideas of General Relativity, with hindsight from Quantum Theory.…

General Physics · Physics 2010-06-08 Lucian M Ionescu

We review work on `decomposition,' a property of two-dimensional theories with 1-form symmetries and, more generally, d-dimensional theories with (d-1)-form symmetries. Decomposition is the observation that such quantum field theories are…

High Energy Physics - Theory · Physics 2022-04-21 Eric Sharpe

We develop a generalised gauge theory in which the role of gauge group is played by a coalgebra and the role of principal bundle by an algebra. The theory provides a unifying point of view which includes quantum group gauge theory,…

q-alg · Mathematics 2009-10-30 T. Brzezinski , S. Majid

Modular invariance is a necessary condition for the consistency of any closed string theory. In particular, it imposes stringent constraints on the spectrum of orbifold theories, and in principle determines their spectrum uniquely up to…

High Energy Physics - Theory · Physics 2009-10-31 O. Bergman , M. R. Gaberdiel