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We present a simple closed form expression for the topologically twisted index of the ABJM theory as a function of the magnetic fluxes and complex chemical potentials valid at fixed $k$ and to all orders in the $1/N$ expansion. This in turn…

High Energy Physics - Theory · Physics 2023-04-20 Nikolay Bobev , Junho Hong , Valentin Reys

Motivated by the recent work on $T\bar{T}$-type deformations of 2D CFTs, a especial class of single-trace deformations of AdS$_3$/CFT$_2$ correspondence has been investigated. From the worldsheet perspective, this corresponds to a marginal…

High Energy Physics - Theory · Physics 2020-05-20 Gaston Giribet , Matias Leoni

We discuss string theory methods for the study of strongly coupled holographic defect conformal field theories (CFTs) which are dual to probe-brane systems. First, we examine whether the string theory duals of such defect CFTs are…

High Energy Physics - Theory · Physics 2025-01-22 Georgios Linardopoulos

We investigate the classical geometry corresponding to a collection of fractional D3 branes in the orbifold limit of an ALE space. We discuss its interpretation in terms of the world-volume gauge theory on the branes, which is in general a…

High Energy Physics - Theory · Physics 2016-09-06 M. Billo' , L. Gallot , A. Liccardo

We set up the computation of correlation functions for operators that are dual to semiclassical string states in strongly coupled defect conformal field theories (dCFTs). In the dCFT that is dual to the D3-D5 probe-brane system, we…

High Energy Physics - Theory · Physics 2023-08-29 George Georgiou , Georgios Linardopoulos , Dimitrios Zoakos

The D-3 brane is examined from the point of view of the wrapped M-theory five brane on a torus. In particular, the S-dual versions of the 3-brane are identified as coming from different gauge choices of the auxiliary field that is…

High Energy Physics - Theory · Physics 2009-10-31 D. S. Berman

The static transverse and longitudinal correlation functions (CF) of a 3-dimensional ferromagnet are calculated for the exactly solvable anisotropic spherical model (ASM) determined as the limit D \to \infty of the classical D-component…

Statistical Mechanics · Physics 2015-06-25 D. A. Garanin

We study supersymmetric intersections of M2 and M5 branes with different pp-waves of M-theory. We consider first M-brane probes in the background of pp-waves and determine under which conditions the embedding is supersymmetric. We…

High Energy Physics - Theory · Physics 2014-11-18 J. Mas , A. V. Ramallo

We develop the notion of double holography in Type IIB string theory realizations of braneworld models. The Type IIB setups are based on the holographic duals of 4d BCFTs comprising 4d $\mathcal N=4$ SYM on a half space coupled to 3d…

High Energy Physics - Theory · Physics 2022-10-19 Andreas Karch , Haoyu Sun , Christoph F. Uhlemann

The theory of slice regular functions of a quaternion variable is applied to the study of orthogonal complex structures on domains \Omega\ of R^4. When \Omega\ is a symmetric slice domain, the twistor transform of such a function is a…

Differential Geometry · Mathematics 2015-07-27 Graziano Gentili , Simon Salamon , Caterina Stoppato

A new way of computing scattering amplitudes in a certain very important QFT (N=4 SYM) has recently been developed, in which an algebraic structure called the positive Grassmannian plays a very important role. The mathematics of the…

High Energy Physics - Theory · Physics 2014-08-06 Alvaro M. Alhambra

We construct a braided structure on the algebra of K\"ahler differential forms of a commutative algebra twisted by an endomorphism. This generalises the construction done in M. Karoubi, Quantum Methods in Algebraic Topology, see…

Algebraic Topology · Mathematics 2007-05-23 Max Karoubi , Mariano Suarez-Alvarez

The polarized photon structure is described by two spin structure functions $g_1^\gamma$ and $g_2^\gamma$ which can be studied in the future polarized ep or e$^+$e$^-$ colliders. Here we investigate the QCD twist-3 effects in $g_2^\gamma$…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hideshi Baba , Ken Sasaki , Tsuneo Uematsu

We describe a family of 3d topological B-models whose target spaces are Hilbert schemes of points in $\mathbb{C}^2$. The interfaces separating theories with different numbers of points correspond to braid strands. The Hilbert space of the…

Geometric Topology · Mathematics 2023-02-28 Alexei Oblomkov , Lev Rozansky

We analyse a simple example of a holographically dual pair in which we topologically twist both theories. The holography is based on the two-dimensional N=2 supersymmetric Liouville conformal field theory that defines a unitary bulk quantum…

High Energy Physics - Theory · Physics 2020-04-22 Songyuan Li , Jan Troost

Twisted supergravity is supergravity in a background where the bosonic ghost field takes a non-zero value. This is the supergravity counterpart of the familiar concept of twisting supersymmetric field theories. In this paper, we give…

High Energy Physics - Theory · Physics 2016-06-02 Kevin Costello , Si Li

The charges of the twisted branes for strings on the group manifold SU(n)/Z_d are determined. To this end we derive explicit (and remarkably simple) formulae for the relevant NIM-rep coefficients. The charge groups of the twisted and…

High Energy Physics - Theory · Physics 2010-10-27 Matthias R Gaberdiel , Terry Gannon

We use a series of reductions, T-dualities and liftings to construct connections between fractional brane solutions in IIA, IIB and M-theory. We find a number of phantom branes that are not supported by the geometry, however materialize…

High Energy Physics - Theory · Physics 2009-11-07 Ruben Minasian , Dimitrios Tsimpis

Recently we provided a microscopic derivation of the exact supergravity profile for the twisted scalar field emitted by systems of fractional D3-branes at a Z2 orbifold singularity. In this contribution we focus on a set-up supporting an N…

High Energy Physics - Theory · Physics 2013-05-01 Marco Billó , Marialuisa Frau , Luca Giacone , Alberto Lerda

M-theory and string theory predict the existence of many six-dimensional SCFTs. In particular, type IIA brane constructions involving NS5-, D6- and D8-branes conjecturally give rise to a very large class of N=(1,0) CFTs in six dimensions.…

High Energy Physics - Theory · Physics 2015-06-19 Davide Gaiotto , Alessandro Tomasiello