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We study quotients of mapping class groups (\Gamma_{g,1}) of oriented surfaces with one boundary component by terms of their Johnson filtrations, and we show that the homology of these quotients with suitable systems of twisted coefficients…

Algebraic Topology · Mathematics 2017-04-06 Tomáš Zeman

We show that the mod $\ell$ cohomology of any finite group of Lie type in characteristic $p$ different from $\ell$ admits the structure of a module over the mod $\ell$ cohomology of the free loop space of the classifying space $BG$ of the…

Algebraic Topology · Mathematics 2026-03-30 Jesper Grodal , Anssi Lahtinen

Given a graded $E_1$-module over an $E_2$-algebra in spaces, we construct an augmented semi-simplicial space up to higher coherent homotopy over it, called its canonical resolution, whose graded connectivity yields homological stability for…

Algebraic Topology · Mathematics 2019-10-23 Manuel Krannich

Using the generalised AdS/CFT correspondence, we show that there are certain ten-dimensional differentiable manifolds such that string theory on such a manifold is unstable [to the emission of "large branes"] no matter what the metric may…

High Energy Physics - Theory · Physics 2010-02-03 Brett McInnes

We consider a class of conformal models describing closed strings in axially symmetric stationary magnetic flux tube backgrounds. These models are closed string analogs of the Landau model of a particle in a magnetic field or the model of…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Tseytlin

We subject the phenomenologically successful large volume scenario of hep-th/0502058 to a first consistency check in string theory. In particular, we consider whether the expansion of the string effective action is consistent in the…

High Energy Physics - Theory · Physics 2008-11-26 Marcus Berg , Michael Haack , Enrico Pajer

If the vacuum manifold of a field theory has the appropriate topological structure, the theory admits topological structures analogous to the D-branes of string theory, in which defects of one dimension terminate on other defects of higher…

High Energy Physics - Theory · Physics 2009-11-10 Mark Bowick , Antonio De Felice , Mark Trodden

Modular invariance is a necessary condition for the consistency of any closed string theory. In particular, it imposes stringent constraints on the spectrum of orbifold theories, and in principle determines their spectrum uniquely up to…

High Energy Physics - Theory · Physics 2009-10-31 O. Bergman , M. R. Gaberdiel

We study string theory in supersymmetric time-dependent backgrounds. In the framework of general relativity, supersymmetry for spacetimes without flux implies the existence of a covariantly constant null vector, and a relatively simple form…

High Energy Physics - Theory · Physics 2007-05-23 Michal Fabinger , Simeon Hellerman

Given a smooth closed manifold M with a family {L_i} of closed submanifolds, we consider the free loop space LM and the spaces PM(L_i,L_j) of open strings (paths g:[0,1]->M with g(0) in L_i, and g(1) in L_j). We construct string topology…

Algebraic Topology · Mathematics 2007-05-23 Antonio Ramirez

The homology of a 2-colored dioperad of decorated Riemann surfaces, relevant to open-closed string field theory, is computed. The structure it describes is realized in an open-closed setting of string topology via an action at the level of…

Algebraic Topology · Mathematics 2009-09-29 Eric Harrelson

Assuming that around the tachyon vacuum the kinetic term of cubic open string field theory is made purely of ghost operators we are led to gauge invariant actions which manifestly implement the absence of open string dynamics around this…

High Energy Physics - Theory · Physics 2009-09-15 Leonardo Rastelli , Ashoke Sen , Barton Zwiebach

Let M be a connected, simply connected, closed and oriented manifold, and G a finite group acting on M by orientation preserving diffeomorphisms. In this paper we show an explicit ring isomorphism between the orbifold string topology of the…

Algebraic Topology · Mathematics 2014-02-26 Andres Angel , Erik Backelin , Bernardo Uribe

We study some wrapped configurations of branes in the near-horizon geometry of a stack of other branes. The common feature of all the cases analyzed is a quantization rule and the appearance of a finite number of static configurations in…

High Energy Physics - Theory · Physics 2010-02-03 J. M. Camino , A. Paredes , A. V. Ramallo

In this paper we study the stability of an homogeneous black string in the presence of a negative cosmological constant with minimally coupled scalar fields by using the large $D$ effective theory. This method allows us to explore the…

High Energy Physics - Theory · Physics 2021-12-23 Peng-Cheng Li , Cheng-Yong Zhang

We establish a strong, geometric lower bound on the (sequential) topological complexity of the unordered configuration spaces of a general graph. As an application, we show that, for most graphs, the topological complexity eventually…

Algebraic Topology · Mathematics 2026-02-05 Ben Knudsen

Vector bundle cohomology represents a key ingredient for string phenomenology, being associated with the massless spectrum arising in string compactifications on smooth compact manifolds. Although standard algorithmic techniques exist for…

High Energy Physics - Theory · Physics 2022-04-19 Callum Brodie , Andrei Constantin , James Gray , Andre Lukas , Fabian Ruehle

In this paper, we discuss Hochschild chain models for some of the string topology operations. We use these models to simplify the proofs and computations of some of the results in string topology. Along the way we also make some new…

Differential Geometry · Mathematics 2023-01-13 Arun Maiti

We study exact string backgrounds representing a constant magnetic field background in heterotic string theory. These backgrounds are obtained by Kaluza-Klein reduction of a special class of plane wave solutions. For small values of the…

High Energy Physics - Theory · Physics 2009-11-07 Justin R. David

We consider the inhomogeneous decay of an unstable D-brane of bosonic string theory in a linear dilaton background in a light-cone frame. At the lowest level, the dynamical equation that describes this process is a generalisation (that…

High Energy Physics - Theory · Physics 2015-03-31 Debashis Ghoshal , Preeda Patcharamaneepakorn
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