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We review some recent developments in the construction of integrable $\eta$- and $\lambda$-deformations of the $AdS_5 \times S^5$ superstring. We highlight their link with Poisson-Lie T-duality.

高能物理 - 理论 · 物理学 2016-11-03 Daniel C. Thompson

We investigate systematically the asymptotic dynamics and symmetries of all three-dimensional extended AdS supergravity models. First, starting from the Chern-Simons formulation, we show explicitly that the (super)anti-de Sitter boundary…

高能物理 - 理论 · 物理学 2009-10-31 Marc Henneaux , Liat Maoz , Adam Schwimmer

The auxiliary field sigma model (AFSM) has recently been constructed by Ferko and Smith as deformations of the principal chiral model by including auxiliary fields and the potential term given by an arbitrary univariate function. This AFSM…

高能物理 - 理论 · 物理学 2025-09-05 Osamu Fukushima , Kentaroh Yoshida

We construct a 1-parameter family of Ramond-Ramond fluxes supporting the elliptic $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathrm{T}^4$ metric with constant dilaton and preserving 8 of the 16 supercharges of the undeformed background. On…

高能物理 - 理论 · 物理学 2025-10-29 Ben Hoare , Fiona K. Seibold

We show that the metric operator for a pseudo-supersymmetric Hamiltonian that has at least one negative real eigenvalue is necessarily indefinite. We introduce pseudo-Hermitian fermion (phermion) and abnormal phermion algebras and provide a…

量子物理 · 物理学 2011-07-19 Ali Mostafazadeh

According to the recent proposal by Aharony, Bergman, Jafferis and Maldacena the N=6 supersymmetric Chern-Simons theory in three dimensions has a 't Hooft limit whose holographic dual is described by type IIA superstings on AdS_4 x CP^3…

高能物理 - 理论 · 物理学 2010-04-06 Gleb Arutyunov , Sergey Frolov

We propose a consistent setup for the holographic dual of the strongly coupled large-Nc N=4 super Yang-Mills theory plasma which undergoes the Bjorken flow relevant to the quark-gluon plasma at BNL Relativistic Heavy Ion Collider and CERN…

高能物理 - 理论 · 物理学 2009-11-13 Shunichiro Kinoshita , Shinji Mukohyama , Shin Nakamura , Kin-ya Oda

It has been conjectured that 3d fermions minimally coupled to Chern-Simons gauge fields are dual to 3d critical scalars, also minimally coupled to Chern-Simons gauge fields. The large $N$ arguments for this duality can formally be used to…

高能物理 - 理论 · 物理学 2018-12-26 Ofer Aharony , Sachin Jain , Shiraz Minwalla

We construct two families of AdS$_2$ vacua in Type IIB Supergravity performing U(1) and SL(2) T-dualities on the $\text{AdS}_3 \times \text{$ \widehat{\mathbb{CP}}\!\!~^3$} \times $ I solutions to Type IIA recently reported in…

高能物理 - 理论 · 物理学 2025-03-26 Andrea Conti

We perform a complete classification of AdS$_2$ solutions of Type II supergravity realising $\mathcal{N}=6$ supersymmetry and OSp$(6|2)$ superconformal symmetry on backgrounds that are foliations of AdS$_2 \times \mathbb{CP}^3$ over a…

高能物理 - 理论 · 物理学 2025-10-06 Andrea Conti , Yolanda Lozano , Niall T. Macpherson

We investigate the origins and implications of the duality between topological insulators and topological superconductors in three and four spacetime dimensions. In the latter, the duality transformation can be made at the level of the path…

高能物理 - 理论 · 物理学 2017-06-28 Jeff Murugan , Horatiu Nastase

Superspace techniques are used to formulate a supersymmetric model on an AdS3 surface embedded in four dimensions. In this model, the supersymmetry transformation is the "square root" of the transformation generated by the isometry…

高能物理 - 理论 · 物理学 2015-06-15 D. G. C. McKeon

We discuss several PT-symmetric deformations of superderivatives. Based on these various possibilities, we propose new families of complex PT-symmetric deformations of the supersymmetric Korteweg-de Vries equation. Some of these new models…

数学物理 · 物理学 2008-11-21 Bijan Bagchi , Andreas Fring

N=(1,0) supergravity in six dimensions admits AdS_3\times S^3 as a vacuum solution. We extend our recent results presented in hep-th/0212323, by obtaining the complete N=4 Yang-Mills-Chern-Simons supergravity in D=3, up to quartic fermion…

高能物理 - 理论 · 物理学 2009-10-07 H. Lu , C. N. Pope , E. Sezgin

We give a "holographic" explanation of Poisson-Lie T-duality in terms of Chern-Simons theory (or, more generally, in terms of Courant sigma-models) with appropriate boundary conditions.

高能物理 - 理论 · 物理学 2016-09-21 Pavol Ševera

A generic massive Thirring Model in three space-time dimensions exhibits a correspondence with a topologically massive bosonized gauge action associated to a self-duality constraint, and we write down a general expression for this…

高能物理 - 理论 · 物理学 2009-11-07 M. Botta Cantcheff , J. A. Helayël-Neto

In a recent paper, we proposed closed-form expressions for the superconformal indices of the (A_1, A_{2n-3}) and (A_1, D_{2n}) Argyres-Douglas (AD) superconformal field theories (SCFTs) in the Schur limit. Following up on our results, we…

高能物理 - 理论 · 物理学 2016-01-06 Matthew Buican , Takahiro Nishinaka

We show how to construct lattice sigma models in one, two and four dimensions which exhibit an exact fermionic symmetry. These models are discretized and {\it twisted} versions of conventional supersymmetric sigma models with N=2…

高能物理 - 格点 · 物理学 2009-11-10 Simon Catterall , Sofiane Ghadab

We study Kac-Moody asymptotic symmetries and memory effects in $\text{AdS}_4^{\text{Poincare}}$ gauge theory and (when accompanied by 4D gravity) in its holographic CFT$_3$ dual. While such infinite-dimensional symmetries are absent in…

高能物理 - 理论 · 物理学 2019-03-11 Rashmish K. Mishra , Arif Mohd , Raman Sundrum

We study a class of 4-dimensional $SU(N)$ chiral gauge theories with fermions in the 2-index symmetric and antisymmetric representations and classify their infrared phases. The choice $N=4\mathbb{Z}$ corresponds to gauging the fermion…

高能物理 - 理论 · 物理学 2022-03-02 Mohamed M. Anber , Sungwoo Hong , Minho Son