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Considering rank s fields obey first order equation of motion, we study the dynamics of such fields in a 3 dimensional self-dual space-like warped $AdS_3$ black hole background. We argue that in this background, symmetric conditions and…

High Energy Physics - Theory · Physics 2014-12-25 Mohammad A. Ganjali , Sadegh Sadeghian

We study non-perturbative interpolating functions to probe the physics of anomalous dimensions associated with twist-two operators in ${\cal N}=4$ SYM of finite and infinite spin. Compared to previous studies, the novel result of this paper…

High Energy Physics - Theory · Physics 2019-09-04 Aritra Banerjee , Abhishek Chowdhury , Somyadip Thakur , Gang Yang

We study the spin- 1/2 two and three dimensional Orbital Compass Models relevant to the problem of orbital ordering in transition metal oxides. We show that these systems display self-dualities and novel (gauge-like) discrete sliding…

Strongly Correlated Electrons · Physics 2009-11-10 Zohar Nussinov , Eduardo Fradkin

We consider the motion of a point particle with spin in a stationary spacetime. We define, following Witzany (2019) and later Ramond (2022), a twelve dimensional Hamiltonian dynamical system whose orbits coincide with the solutions of the…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Francisco M. Blanco , Éanna É. Flanagan

The mechanical properties of crystals on curved substrates mix elastic, geometric and topological degrees of freedom. In order to elucidate the properties of such crystals we formulate the low-energy effective action that combines metric…

High Energy Physics - Theory · Physics 2024-02-26 Lazaros Tsaloukidis , José J. Fernández-Melgarejo , Javier Molina-Vilaplana , Piotr Surówka

(3+1)D topological phases of matter can host a broad class of non-trivial topological defects of codimension-1, 2, and 3, of which the well-known point charges and flux loops are special cases. The complete algebraic structure of these…

Strongly Correlated Electrons · Physics 2023-04-12 Maissam Barkeshli , Yu-An Chen , Sheng-Jie Huang , Ryohei Kobayashi , Nathanan Tantivasadakarn , Guanyu Zhu

For D=4 theories of a single U(1) gauge field strength coupled to gravity and matters, we show that the electric-magnetic duality can be formulated as an invariance of the actions. The symmetry is associated with duality rotation acting…

High Energy Physics - Theory · Physics 2009-10-31 Yuji Igarashi , Katsumi Itoh , Kiyoshi Kamimura

We consider superstring sigma models that are based on coset superspaces G/H in which H arises as the fixed point set of an order-4 automorphism of G. We show by means of twistor theory that the corresponding first-order system, consisting…

High Energy Physics - Theory · Physics 2010-02-17 Martin Wolf

We construct a class of topological field theories with Wess-Zumino term in spacetime dimensions $\ge 2$ whose target space has a geometrical structure that suitably generalizes Poisson or twisted Poisson manifolds. Assuming a field content…

High Energy Physics - Theory · Physics 2021-09-29 Athanasios Chatzistavrakidis

We study the large gauge transformations of massless higher-spin fields in four-dimensional Minkowski space. Upon imposing suitable fall-off conditions, providing higher-spin counterparts of the Bondi gauge, we observe the existence of an…

High Energy Physics - Theory · Physics 2017-08-23 Andrea Campoleoni , Dario Francia , Carlo Heissenberg

Kappa-Minkowski space-time is an example of noncommutative space-time with potentially interesting phenomenological consequences. However, the construction of field theories on this space, although operationally well-defined, is plagued…

High Energy Physics - Theory · Physics 2015-05-28 Marija Dimitrijevic , Larisa Jonke

This note treats the notion of Lagrange derivative for the third order mechanics in the context of covariant Riemannian geometry. The variational differential equation for geodesic circles in two dimensions is obtained. The influence of the…

Differential Geometry · Mathematics 2014-07-24 R. Ya. Matsyuk

Higher dimensional supersymmetric quantum mechanics is studied. General properties of the two dimensional case are presented. For three spatial dimesions or higher, a spin structure is shown to arise naturally from the nonrelativistic…

High Energy Physics - Theory · Physics 2015-06-26 Ashok Das , Sergio. A. Pernice

The (m^2,\Lambda) plane of spin s>1 massive fields in (A)dS backgrounds is shown to consist of separate phases, divided by lines of novel ``partially massless'' gauge theories that successively remove helicities, starting from the lowest, 0…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Waldron

We provide a systematic approach to twisting differential KO-theory leading to a construction of the corresponding twisted differential Atiyah-Hirzebruch spectral sequence (AHSS). We relate and contrast the degree two and the degree one…

Algebraic Topology · Mathematics 2026-04-15 Daniel Grady , Hisham Sati

We describe a systematic way of the generalization, to models with non-linear duality, of the space-time covariant and duality-invariant formulation of duality-symmetric theories in which the covariance of the action is ensured by the…

High Energy Physics - Theory · Physics 2015-06-05 Paolo Pasti , Dmitri Sorokin , Mario Tonin

Distances in the conformal manifold, the space of CFTs related by marginal deformations, can be measured in terms of the Zamolodchikov metric. Part of the CFT Distance Conjecture posits that points in this manifold where part of the…

High Energy Physics - Theory · Physics 2024-01-09 Florent Baume , José Calderón-Infante

Target space duality is one of the most profound properties of string theory. However it customarily requires that the background fields satisfy certain invariance conditions in order to perform it consistently; for instance the vector…

High Energy Physics - Theory · Physics 2016-05-17 Athanasios Chatzistavrakidis , Andreas Deser , Larisa Jonke

In general terms duality consists of two descriptions of one physical system by using degrees of freedom of different nature. There are different kinds of dualities and they have been extremely useful to uncover the underlying strong…

High Energy Physics - Theory · Physics 2018-09-28 Hugo Garcia-Compean , Octavio Obregon , Cupatitzio Ramirez

We consider massless higher spin gauge theories with both electric and magnetic sources, with a special emphasis on the spin two case. We write the equations of motion at the linear level (with conserved external sources) and introduce…

High Energy Physics - Theory · Physics 2008-11-26 C. Bunster , S. Cnockaert , M. Henneaux , R. Portugues