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We argue that there exists a new class of completely smooth 1/8-BPS, three-charge bound state configurations that depend upon arbitrary functions of two variables. These configurations are locally 1/2-BPS objects in that if they form an…

High Energy Physics - Theory · Physics 2011-11-03 Iosif Bena , Jan de Boer , Masaki Shigemori , Nicholas P. Warner

To a domain wall or string object, Noether charge and topological spatial objects can be attracted, forming a composite BPS (Bogomolny-Prasad-Sommerfield) object. We consider two field theories and derive a new BPS bound on composite linear…

High Energy Physics - Theory · Physics 2008-11-26 Seok Kim , Ki-Myeong Lee , Ho-Ung Yee

We study classical supertube probes on supergravity backgrounds which are sourced by over-rotating supertubes, and which therefore contain closed timelike curves. We show that the BPS probes are stable despite the appearance of negative…

High Energy Physics - Theory · Physics 2007-05-23 Daniel Brace

A new class of deformation of the matrix model of M-theory is considered. The deformation is analogous to the so-called $\b$-deformation of $D=3+1$, $\mN=4$ Super Yang-Mills theory, which preserves the conformal symmetry. It is shown that…

High Energy Physics - Theory · Physics 2010-05-28 Hidehiko Shimada

We show that for generic choices of parameters the moduli spaces of periodic monopoles (with singularities), i.e. monopoles on $\mathbb{R}^{2} \times \mathbb{S}^{1}$ possibly singular at a finite collection of points, are either empty or…

Differential Geometry · Mathematics 2016-10-18 Lorenzo Foscolo

We show that the supertube configurations exist in all supersymmetric type IIA backgrounds which are purely geometrical and which have, at least, one flat direction. In other words, they exist in any spacetime of the form R^{1,1} x M_8,…

High Energy Physics - Theory · Physics 2009-11-10 Joaquim Gomis , Toni Mateos , Pedro J. Silva , Antoine Van Proeyen

We analyze the BPS equations in the ``superstratum sector'' of three-dimensional gauged supergravity. We obtain multi-parameter supersymmetric solutions that include elliptical deformations of the supertubes that underlie standard…

High Energy Physics - Theory · Physics 2022-09-28 Bogdan Ganchev , Anthony Houppe , Nicholas P. Warner

It is shown that the space of infinitesimal deformations of 2k-Einstein structures is finite dimensional at compact non-flat space forms. Moreover, spherical space forms are shown to be rigid in the sense that they are isolated in the…

Differential Geometry · Mathematics 2010-02-24 Levi Lopes de Lima , Newton Luis Santos

We describe semiuniversal deformation spaces for the noncompact surfaces $Z_k := \operatorname{Tot} (\mathcal O_{\mathbb P^1} (-k))$ and prove that any nontrivial deformation $Z_k (\tau)$ of $Z_k$ is affine. It is known that the moduli…

Algebraic Geometry · Mathematics 2019-09-24 Severin Barmeier , Elizabeth Gasparim

In the present paper, we reexamine the moduli stabilization problem of the Type IIB orientifolds with one complex structure modulus in a modified two-step procedure. The full superpotential including both the 3-form fluxes and the…

High Energy Physics - Theory · Physics 2008-11-26 Huan-Xiong Yang

We suggest to compactify the universal covering of the moduli space of complex structures by non-commutative spaces. The latter are described by certain categories of sheaves with connections which are flat along foliations. In the case of…

Quantum Algebra · Mathematics 2007-05-23 Yan Soibelman

In this paper we discuss compactifications of type II superstrings where the moduli of the internal Calabi-Yau space vary over four-dimensional space time. The corresponding solutions of four-dimensional N=2 supergravity are given by…

High Energy Physics - Theory · Physics 2009-10-07 Klaus Behrndt , Dieter Lust , Wafic A. Sabra

Certain objects of conformal field theory, for example partition functions on the rectangle and the torus, and one-point functions on the torus, are either invariant or transform simply under the modular group, properties which should be…

Number Theory · Mathematics 2022-10-12 John Cardy

We consider BPS domain walls in the four dimensional N=1 supersymmetric models with continuous global symmetry. Since the BPS equation is covariant under the global transformation, the solutions of the BPS walls also have the global…

High Energy Physics - Theory · Physics 2009-10-31 Masashi Naganuma , Muneto Nitta

In this letter, we demonstrate a strong dependence of the electrostatic deformation of doubly-clamped single-walled carbon nanotubes on both the field strength and the tube length, using molecular simulations. Metallic nanotubes are found…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Zhao Wang , Laetitia Philippe

We consider a class of super-conformal beta-deformed N=1 gauge theories dual to string theory on $AdS_5 \times X$ with fluxes, where $X$ is a deformed Sasaki-Einstein manifold. The supergravity backgrounds are explicit examples of…

High Energy Physics - Theory · Physics 2011-02-25 Agostino Butti , Davide Forcella , Luca Martucci , Ruben Minasian , Michela Petrini , Alberto Zaffaroni

We study the global geometry of families of tubes of constant mean curvature invariant under screw-motions in homogeneous $\mathbb{E}(\kappa,\tau)$-spaces. In particular, we study embeddedness and prove a foliation result. Moreover, we…

Differential Geometry · Mathematics 2024-12-23 Philipp Käse , Francisco Torralbo

We examine the fate of supersymmetric flat directions. We argue that the non-perturbative decay of the flat direction via preheating is an unlikely event. In order to address this issue, first we identify the physical degrees of freedom and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Rouzbeh Allahverdi , Anupam Mazumdar

Let $\Lambda$ be a finite dimensional algebra over an algebraically closed field. We exhibit slices of the representation theory of $\Lambda$ that are always classifiable in stringent geometric terms. Namely, we prove that, for any…

Representation Theory · Mathematics 2014-07-11 H. Derksen , B. Huisgen-Zimmermann , J. Weyman

We find the evolution of arbitrary excitations on 2-charge supertubes, by mapping the supertube to a string carrying traveling waves. We argue that when the coupling is increased from zero the energy of excitation leaks off to infinity, and…

High Energy Physics - Theory · Physics 2008-11-26 Stefano Giusto , Samir D. Mathur , Yogesh K. Srivastava
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