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Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can be naturally understood as a consequence of electric-magnetic duality of four-dimensional gauge theory. This duality in turn is naturally…

High Energy Physics - Theory · Physics 2009-05-22 Edward Witten

In this work, we study (anti-)self duality conditions in unconventional conformal supersymmetry. We focus on a theory constructed in a Townsend-MacDowell-Mansouri form for an $SU(2,2|N)$ gauge connection with matter fields in the adjoint…

High Energy Physics - Theory · Physics 2024-01-17 Pedro D. Alvarez , Cristóbal Corral , Jorge Zanelli

D-dimensional maximal supergravities type I with G/H coset spaces have global G-symmetry and local H symmetry, which can be gauge-fixed in symmetric or Iwasawa-type gauges. Maximal D-dimensional supergravities type II derived from higher…

High Energy Physics - Theory · Physics 2024-10-28 Renata Kallosh

We investigate the dimensional dependence (D-dependence) of the difference (gap) between the critical temperatures associated with the uniform/non-uniform and non-uniform/gapped transitions in the large-N bosonic gauge theories with D…

High Energy Physics - Theory · Physics 2019-07-04 Shingo Takeuchi

The double copy is a map from non-abelian gauge theories to gravity, that has been demonstrated both for scattering amplitudes and exact classical solutions. In this study, we reconsider the double copy for exact solutions that are…

High Energy Physics - Theory · Physics 2019-02-20 David S. Berman , Erick Chacón , Andrés Luna , Chris D. White

We show that duality transformations of linearized gravity in four dimensions, i.e., rotations of the linearized Riemann tensor and its dual into each other, can be extended to the dynamical fields of the theory so as to be symmetries of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Marc Henneaux , Claudio Teitelboim

Auxiliary field techniques have recently gained interest in four-dimensional non-linear electrodynamics and two-dimensional integrable sigma models. In these settings, coupling a suitable ``seed'' theory to auxiliary fields provides a…

High Energy Physics - Theory · Physics 2026-02-25 Nicola Baglioni , Daniele Bielli , Michele Galli , Gabriele Tartaglino-Mazzucchelli

In this communication, based on our paper http://arxiv.org/abs/1409.4186, we discuss a way of enhancing Gauge/Gravity Duality and response of a dual strongly coupled medium on placing the inhomogeneity on the gravity side.

High Energy Physics - Theory · Physics 2017-04-05 T. M. Moskalets , A. J. Nurmagambetov

The search for a geometrical understanding of dualities in string theory, in particular T-duality, has led to the development of modern T-duality covariant frameworks such as Double Field Theory, whose mathematical structure can be…

High Energy Physics - Theory · Physics 2021-06-03 Bernardo Araneda

I discuss the impact of gauge-gravity duality on our understanding of two classes of systems: conformal quantum matter and compressible quantum matter. The first conformal class includes systems, such as the boson Hubbard model in two…

Strongly Correlated Electrons · Physics 2012-04-12 Subir Sachdev

In this work, we construct a new foliated quantum field theory equivalent to the exotic $\phi$-theory -- a fractonic gapless scalar field theory described by tensor gauge fields and exhibiting $U(1) \times U(1)$ subsystem global symmetry.…

Strongly Correlated Electrons · Physics 2026-03-13 Kantaro Ohmori , Shutaro Shimamura

Cross-couplings between a massless spin-two field (described in the free limit by the Pauli-Fierz action) and an Abelian three-form gauge field in D=11 are investigated in the framework of the deformation theory based on local BRST…

High Energy Physics - Theory · Physics 2009-02-26 E. M. Cioroianu , E. Diaconu , S. C. Sararu

T-duality of gauge theories on a noncommutative $T^d$ can be extended to include fields with twisted boundary conditions. The resulting T-dual theories contain novel nonlocal fields. These fields represent dipoles of constant magnitude.…

High Energy Physics - Theory · Physics 2014-11-18 Aaron Bergman , Ori J. Ganor

A recently introduced approach for the dynamical analysis and quantization of field theoretical models with second class constraints is ilustrated applied to linearized gravity in 3-D. The canonical structure of two different models of…

High Energy Physics - Theory · Physics 2009-10-28 Pio Jose Arias y Jorge Stephany

Using the parent Lagrangian approach we construct a dual formulation, in the sense originally proposed by Curtright and Freund, of a massive spin two Fierz-Pauli theory in arbitrary dimensions $D$. This is achieved in terms of a mixed…

High Energy Physics - Theory · Physics 2008-11-26 B. Gonzalez , A. Khoudeir , R. Montemayor , L. F. Urrutia

We demonstrate that the four (3 + 1)-dimensional free Abelian 2-form gauge theory presents a tractable field theoretical model for the Hodge theory where the well-defined symmetry transformations correspond to the de Rham cohomological…

High Energy Physics - Theory · Physics 2008-12-18 Saurabh Gupta , R. P. Malik

We construct dual formulation of linearised gravity in first order tetrad formalism in arbitrary dimensions within the path integral framework following the standard duality algorithm making use of the global shift symmetry of the tetrad…

High Energy Physics - Theory · Physics 2009-11-10 Ajith. K. M , E. Harikumar , M. Sivakumar

In this paper, our focus is on exploring the gauge-invariant basis for bosonic couplings within the framework of heterotic string theories, specifically examining 3-, 5-, and 7-derivative terms. We thoroughly analyze the invariance of these…

High Energy Physics - Theory · Physics 2024-08-06 Mohammad R. Garousi

In three dimensions, a free, periodic scalar field is related by duality to an abelian gauge field. Here I explore aspects of this duality when both theories are quantized on a Riemann surface of genus g. At higher genus, duality involves…

High Energy Physics - Theory · Physics 2015-06-19 Chris Beasley

Starting from the Ashtekar Hamiltonian variables for general relativity, the self-dual Einstein equations (SDE) may be rewritten as evolution equations for three divergence free vector fields given on a three dimensional surface with a…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Viqar Husain