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In these lectures we develop the projection operator method for quantum groups. Here the term "quantum groups" means q-deformed universal enveloping algebras of contragredient Lie (super)algebras of finite growth. Contains of the lectures…

Quantum Algebra · Mathematics 2007-05-23 V. N. Tolstoy

We study the AdS/CFT relation between an infinite class of 5-d Ypq Sasaki-Einstein metrics and the corresponding quiver theories. The long BPS operators of the field theories are matched to massless geodesics in the geometries, providing a…

High Energy Physics - Theory · Physics 2009-11-11 Sergio Benvenuti , Martin Kruczenski

We study the wrapping of N type IIB Dp-branes on a compact Riemann surface $\Sigma$ in genus $g>1$ by means of the Sen-Witten construction, as a superposition of N' type IIB Dp'-brane/antibrane pairs, with $p'>p$. A background Neveu-Schwarz…

High Energy Physics - Theory · Physics 2009-11-07 J. M. Isidro

In this paper we study the Weihrauch complexity of projection operators onto closed subsets of the Euclidean space. We show that some fundamental degrees of the Weihrauch lattice can be characterized in terms of such operators.

Logic · Mathematics 2019-10-24 Guido Gherardi , Alberto Marcone , Arno Pauly

Method for computing scattering amplitudes of open strings with Dirichlet boundary on one end and Neumann boundary condition on the other is described. Vertex operator for these states are constructed using twist fields which have been…

High Energy Physics - Theory · Physics 2009-10-30 Akikazu Hashimoto

Open string boundary conditions for non-BPS D-branes in type II string theories discussed in hep-th/0505157 give rise to two sectors with integer (R sector) and half-integer (NS sector) modes for the combined fermionic matter and bosonic…

High Energy Physics - Theory · Physics 2010-02-03 Partha Mukhopadhyay

A general algorithm is presented which gives a closed-form expression for an arbitrary perturbative diagram of cubic string field theory at any loop order. For any diagram, the resulting expression is given by an integral of a function of…

High Energy Physics - Theory · Physics 2007-05-23 Washington Taylor

Surface operators in gauge theory are analogous to Wilson and 't Hooft line operators except that they are supported on a two-dimensional surface rather than a one-dimensional curve. In a previous paper, we constructed a certain class of…

High Energy Physics - Theory · Physics 2008-04-11 Sergei Gukov , Edward Witten

We discuss the equivalence between a string theory and the two-dimensional Yang-Mills theory with SU(N) gauge group for finite N. We find a sector which can be interpreted as a sum of covering maps from closed string world-sheets to the…

High Energy Physics - Theory · Physics 2009-11-10 Toshihiro Matsuo , So Matsuura

This review is devoted to strings and branes. Firstly, perturbative string theory is introduced. The appearance of various types of branes is discussed. These include orbifold fixed planes, D-branes and orientifold planes. The connection to…

High Energy Physics - Theory · Physics 2015-06-26 Stefan Forste

Generalizing recent work by Schnabl-Stettinger and Erbin-Firat, we outline a universal algebraic procedure for `adding stubs' to string field theories obeying the BV quantum master equation. We apply our results to classical and quantum…

High Energy Physics - Theory · Physics 2024-03-18 Carlo Maccaferri , Riccardo Poletti , Alberto Ruffino , Beniamino Valsesia

We construct a novel orientifold of type IIB string theory that breaks all supersymmetries. It is a closed string theory without open sector and it can be understood as a Scherk-Schwarz deformation in which supersymmetry is restored at…

High Energy Physics - Theory · Physics 2024-11-05 Guillaume Bossard , Gabriele Casagrande , Emilian Dudas

Murata and Schnabl recently proposed solutions for the multiple-brane backgrounds in Witten's open bosonic string field theory. The solutions contain some singularities, and in one particular regularization, the double-brane solution…

High Energy Physics - Theory · Physics 2013-04-23 Toru Masuda

A few observations concerning topological string theories at the string-tree level are presented: (1) The tree-level, large phase space solution of an arbitrary model is expressed in terms of a variational problem, with an ``action'' equal,…

High Energy Physics - Theory · Physics 2007-05-23 Robert J. Budzynski

We put forward ideas to a novel string field theory based on making some "objects" that essentially describe "liberated" left- and right- mover fields $X^{\mu}_{L}(\tau + \sigma)$ and $X^{\mu}_{R}(\tau - \sigma)$ on the string. The main…

High Energy Physics - Theory · Physics 2013-05-29 Holger B. Nielsen , Masao Ninomiya

We describe in detail how the spectrum of a single anti-D3-brane in four-dimensional orientifolded IIB string models reproduces precisely the field content of a nilpotent chiral superfield with the only physical component corresponding to…

High Energy Physics - Theory · Physics 2016-01-27 Renata Kallosh , Fernando Quevedo , Angel M. Uranga

We analyze the D9-D9bar system in type IIB string theory using Dp-brane probes. It is shown that the world-volume theory of the probe Dp-brane contains two-dimensional and four-dimensional QED in the cases with p=1 and p=3, respectively,…

High Energy Physics - Theory · Physics 2009-11-10 Shigeki Sugimoto , Kazuyoshi Takahashi

One of the subtleties that has made superstring perturbation theory intricate at high string loop order is the fact that as shown by Donagi and Witten, supermoduli space is not holomorphically projected, nor is it holomorphically split. In…

High Energy Physics - Theory · Physics 2024-10-11 Dimitri P. Skliros

The open string field theory of Witten (SFT) has a close formal similarity with Chern-Simons theory in three dimensions. This similarity is due to the fact that the former theory has concepts corresponding to forms, exterior derivative,…

High Energy Physics - Theory · Physics 2021-08-04 Hiroyuki Hata , Daichi Takeda

We compute string field theory Hamiltonian matrix elements and compare them with matrix elements of the dilatation operator in gauge theory. We get precise agreement between the string field theory and gauge theory computations once the…

High Energy Physics - Theory · Physics 2010-04-05 Jaume Gomis , Sanefumi Moriyama , Jongwon Park
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