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We extend standard path-integral techniques of bosonization and duality to the setting of noncommutative geometry. We start by constructing the bosonization prescription for a free Dirac fermion living in the noncommutative plane…

High Energy Physics - Theory · Physics 2009-10-31 Carlos Nunez , Kasper Olsen , Ricardo Schiappa

In this work we consider AdS$_3$ gravitational theory with certain mixed boundary conditions at spatial infinity. Using the Chern-Simons formalism of AdS$_3$ gravity, we find that these boundary conditions lead to non-trivial boundary…

High Energy Physics - Theory · Physics 2021-06-23 Miao He , Yi-hong Gao

We develop in detail the holographic framework for an $\mathcal{N}=2$ pure AdS supergravity model in four dimensions, including all the contributions from the fermionic fields and adopting the Fefferman-Graham parametrization. We work in…

High Energy Physics - Theory · Physics 2021-02-23 L. Andrianopoli , B. L. Cerchiai , R. Matrecano , O. Miskovic , R. Noris , R. Olea , L. Ravera , M. Trigiante

We discuss the N=2 superspace formulation of the N=8 superconformal Bagger-Lambert-Gustavsson theory, and of the N=6 superconformal Aharony-Bergman-Jafferis-Maldacena U(N)xU(N) Chern-Simons theory. In particular, we prove the full SU(4)…

High Energy Physics - Theory · Physics 2009-12-10 Marcus Benna , Igor Klebanov , Thomas Klose , Mikael Smedbäck

One of the few cases of AdS/CFT where both sides of the duality are under good control relates tensionless $k=1$ strings on AdS$_3$ to a two-dimensional symmetric product CFT. Building on prior observations, we propose an exact duality…

High Energy Physics - Theory · Physics 2025-01-14 Andrea Dei , Bob Knighton , Kiarash Naderi , Savdeep Sethi

We present fermionic model based on symmetric resonant tunneling heterostructure, which demonstrates spontaneous symmetry breaking in respect to combined operations of space inversion (P) and time reversal (T). PT-symmetry breaking…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 A. A. Gorbatsevich , N. M. Shubin

The symmetric orbifold of $\mathbb{T}^4$ is the analogue of free SYM in four dimensions, and its dual is described by a tensionless string propagating in ${\rm AdS}_3\times {\rm S}^3 \times \mathbb{T}^4$. In this paper we study the…

High Energy Physics - Theory · Physics 2023-07-26 Marc-Antoine Fiset , Matthias R. Gaberdiel , Kiarash Naderi , Vit Sriprachyakul

We derive the exact dual theory of a lattice Ginzburg-Landau theory with an additional topological Chern-Simons (CS) term. It is shown that in the zero-temperature limit, the statistical parameter $\theta=1/2\pi$ corresponds to a fixed…

Superconductivity · Physics 2007-05-23 Hagen Kleinert , Flavio S. Nogueira

Conformal field theory of the D1/D5 system and superstrings on $AdS_3\times S^3\times T^4$ is studied with particular attention to the world-sheet fields corresponding to the $T^4$ part. A solution to the spacetime N=4 superconformal…

High Energy Physics - Theory · Physics 2009-10-31 Abbas Ali

In this paper we consider $T\bar T$ deformations in the context of pp waves obtained from gravity duals. We propose a deformation of $AdS_5\times S^5$ similar to the deformation of the single trace $T\bar T$ deformation of $AdS_3\times…

High Energy Physics - Theory · Physics 2023-08-02 Horatiu Nastase , Jacob Sonnenschein

In this article we offer the interpretation of the fermionic T-duality of the type II superstring theory in double space. We generalize the idea of double space doubling the fermionic sector of the superspace. In such doubled space…

High Energy Physics - Theory · Physics 2017-04-25 Bojan Nikolic , Branislav Sazdovic

We consider four dimensional CHL models with sixteen spacetime supersymmetries obtained from orbifolds of type IIA superstring on K3 x T^2 by a Z_N symmetry acting (possibly) non-geometrically on K3. We show that most of these models (in…

High Energy Physics - Theory · Physics 2016-11-22 Daniel Persson , Roberto Volpato

Moduli stabilisation is key to obtaining phenomenologically viable string models. Non-geometric compactifications, like T-duality orbifolds (T-folds), are capable of freezing many moduli. However, in this Letter we emphasise that T-folds,…

High Energy Physics - Theory · Physics 2024-03-25 Alon E. Faraggi , Stefan Groot Nibbelink , Benjamin Percival

This paper investigates the holographic realization of anyons in \(SU(N)_k\) Chern-Simons theory within the AdS/CFT framework. The study extends traditional models, such as \(SU(2)\), to higher-rank groups like \(SU(3)\) and \(SU(4)\),…

High Energy Physics - Theory · Physics 2025-05-23 Tzu-Miao Chou

We perform a series of dimensional reductions of the 6d, $\mathcal{N}=(2,0)$ SCFT on $S^2\times\Sigma\times I\times S^1$ down to 2d on $\Sigma$. The reductions are performed in three steps: (i) a reduction on $S^1$ (accompanied by a…

High Energy Physics - Theory · Physics 2017-05-26 Yuan Luo , Meng-Chwan Tan , Petr Vasko , Qin Zhao

A U(N) Chern-Simons theory on noncommutative $\mathbb{R}^{3}$ is constructed as a $\q$-deformed field theory. The model is characterized by two symmetries: the BRST-symmetry and the topological linear vector supersymmetry. It is shown that…

High Energy Physics - Theory · Physics 2009-10-31 A. A. Bichl , J. M. Grimstrup , V. Putz , M. Schweda

With the aim of investigating the existence of an integrable elliptic deformation of strings on $\mathsf{AdS}_3 \times \mathsf{S}^3 \times \mathsf{T}^4$, we compute the tree-level worldsheet S-matrix of the elliptically-deformed bosonic…

High Energy Physics - Theory · Physics 2025-10-29 Ben Hoare , Ana L. Retore , Fiona K. Seibold

We investigate Poisson-Lie symmetry for T-dual sigma models on supermanifolds in general and on Lie supergroups in particular. We show that the integrability condition on this super Poisson-Lie symmetry is equivalent to the super Jacobi…

High Energy Physics - Theory · Physics 2009-10-02 A. Eghbali , A. Rezaei-Aghdam

A three-parameter integrable deformation of $\mathbb{Z}_4$ permutation supercosets is constructed. These supercosets are of the form $ {\widehat{F}} / {F_0}$ where $F_0$ is the bosonic diagonal subgroup of the product supergroup…

High Energy Physics - Theory · Physics 2019-01-17 Francois Delduc , Ben Hoare , Takashi Kameyama , Sylvain Lacroix , Marc Magro

We present new SO(4)-invariant and non-supersymmetric instanton solutions for the conformally coupled m^2=-2 and massive m^2=+4 (pseudo)scalars arising from a consistent truncation of 11-dimensional supergravity over AdS_4 x S^7/Z_k when…

High Energy Physics - Theory · Physics 2023-01-20 M. Naghdi