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We propose a universal method of relating the Calogero model to a set of decoupled particles on the real line, which can be uniformly applied to both the conformal and nonconformal versions as well as to supersymmetric extensions. For…

High Energy Physics - Theory · Physics 2008-11-26 Anton Galajinsky , Olaf Lechtenfeld , Kirill Polovnikov

We construct Spin(p+1,p+1) covariant Dp-brane bound states by using that the potentials in the RR sector of toroidically compactified type II supergravity transform as a chiral spinor of the T-duality group. As an application, we show the…

High Energy Physics - Theory · Physics 2009-10-31 Per Sundell

We continue our study of the semi-classical (large central charge) expansion of the toroidal one-point conformal block in the context of the 2d/4d correspondence. We demonstrate that the Seiberg-Witten curve and (epsilon1-deformed)…

High Energy Physics - Theory · Physics 2015-06-19 Amir-Kian Kashani-Poor , Jan Troost

We construct explicitly time-dependent exact solutions to the field equations of 6D gauged chiral supergravity, compactified to 4D in the presence of up to two 3-branes situated within the extra dimensions. The solutions we find are scaling…

High Energy Physics - Theory · Physics 2008-11-26 A. J. Tolley , C. P. Burgess , C. de Rham , D. Hoover

The interpretation of D-branes in terms of open strings has lead to much interest in boundary conditions of two-dimensional conformal field theories (CFTs). These studies have deepened our understanding of CFT and allowed us to develop new…

High Energy Physics - Theory · Physics 2009-11-10 J"urgen Fuchs , Ingo Runkel , Christoph Schweigert

A simple model for the localization of the category $\mathbf{CLoc}_2$ of oriented and time-oriented globally hyperbolic conformal Lorentzian $2$-manifolds at all Cauchy morphisms is constructed. This provides an equivalent description of…

Mathematical Physics · Physics 2022-09-20 Marco Benini , Luca Giorgetti , Alexander Schenkel

Meta-conformal transformations are constructed as dynamical symmetries of the linear transport equation in $d$ spatial dimensions. In one and two dimensions, the associated Lie algebras are infinite-dimensional and isomorphic to the direct…

Statistical Mechanics · Physics 2017-11-15 Malte Henkel , Stoimen Stoimenov

We study the concept of Carrollian spacetime starting from its underlying fiber-bundle structure. The latter admits an Ehresmann connection, which enables a natural separation of time and space, preserved by the subset of Carrollian…

High Energy Physics - Theory · Physics 2019-08-21 Luca Ciambelli , Robert G. Leigh , Charles Marteau , P. Marios Petropoulos

$p'$-brane solutions to rank $p+1$ composite antisymmetric tensor field theories of the kind developed by Guendelman, Nissimov and Pacheva are found when the dimensionality of spacetime is $D=(p+1)+(p'+1)$. These field theories posses an…

High Energy Physics - Theory · Physics 2009-10-30 Carlos Castro

It is shown how some field theories in the target-space induce the splitting of the space-time into a continuous of branes, which can be p-branes or D-branes depending on what the field theory it is. The basic symmetry underlying the…

High Energy Physics - Theory · Physics 2007-05-23 Javier Borlaf

The action of Weyl scale invariant p=2 brane which breaks the target super Weyl scale symmetry in the N=1, D=4 superspace down to the lower dimensional Weyl symmetry W(1,2) is derived by the approach of nonlinear realization. The dual form…

High Energy Physics - Theory · Physics 2008-11-26 Lu-Xin Liu

In this paper we consider $(n+1)$-dimensional cosmological model with scalar field and antisymmetric $(p+2)$-form. Using an electric composite $Sp$-brane ansatz the field equations for the original system reduce to the equations for a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. D. Ivashchuk , D. Singleton

We present some results of studying certain axially symmetric supergravity geometries corresponding to a distribution of BPS D6-branes wrapped on K3, obtained as extremal limits of a rotating solution. The geometry's unphysical regions…

High Energy Physics - Theory · Physics 2009-11-07 Lisa M. Dyson , Laur Jarv , Clifford V. Johnson

We show that the p-dimensional noncommutative Yang--Mills model corresponding to a (p-1)-brane allows solutions which correspond to lower branes. This may be interpreted as the Morita equivalence of noncommutative planes of various…

High Energy Physics - Theory · Physics 2007-05-23 Corneliu Sochichiu

We develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of T-duality as well as establishing a very general formula for D-brane charges. This formula is closely related to…

High Energy Physics - Theory · Physics 2008-11-26 Jacek Brodzki , Varghese Mathai , Jonathan Rosenberg , Richard J. Szabo

We consider the dimensional reduction of a CFT, breaking multiplets of the d-dimensional conformal group SO(d+1,1) up into multiplets of SO(d,1). This leads to an expansion of d-dimensional conformal blocks in terms of blocks in d-1…

High Energy Physics - Theory · Physics 2016-09-21 Matthijs Hogervorst

Following the general formalism reviewed in 0810.5355 [hep-th] we present several examples of possible D3-brane configurations on four-dimensional generalized Kaehler geometries. We will discuss T-duality transformations in N = 2 boundary…

High Energy Physics - Theory · Physics 2009-06-02 Alexander Sevrin , Wieland Staessens , Alexander Wijns

We review the construction of chiral four-dimensional compactifications of type IIA string theory with intersecting D6-branes. Such models lead to four-dimensional theories with non-abelian gauge interactions and charged chiral fermions. We…

High Energy Physics - Theory · Physics 2009-11-10 Angel M. Uranga

Conformal symmetry underlies the mathematical description of various two-dimensional integrable models (e.g. for their Lax representation, Poisson algebra, zero curvature representation,...) or of conformal models (for the anomalous Ward…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Francois Gieres

Geometric structures and dualities arise naturally in quantum field theories and string theory. In fact, these tools become very useful when studying strong coupling effects, where standard perturbative techniques can no longer be used. In…

High Energy Physics - Theory · Physics 2021-05-18 Thomas B. Rochais