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This thesis investigates correspondences between open and closed strings. This is done on the level of coupled open-closed moduli spaces and from a string field theoretic point of view. The construction of boundary string field theory on…

High Energy Physics - Theory · Physics 2008-12-15 Marco Baumgartl

Using the topological membrane approach to string theory, we suggest a geometric origin for the heterotic string. We show how different membrane boundary conditions lead to different string theories. We discuss the construction of closed…

High Energy Physics - Theory · Physics 2009-10-30 Leith Cooper , Ian I. Kogan

We show that the proper interpretation of the cocycle operators appearing in the physical vertex operators of compactified strings is that the closed string target is non-commutative. We track down the appearance of this non-commutativity…

High Energy Physics - Theory · Physics 2017-10-06 Laurent Freidel , Robert G. Leigh , Djordje Minic

We construct a model for the string group as an infinite-dimensional Lie group. In a second step we extend this model by a contractible Lie group to a Lie 2-group model. To this end we need to establish some facts on the homotopy theory of…

Algebraic Topology · Mathematics 2014-01-08 Thomas Nikolaus , Christoph Sachse , Christoph Wockel

It is shown that strongly correlated electrons on frustrated lattices like pyrochlore, checkerboard or kagome lattice can lead to the appearance of closed and open strings. They are resulting from nonlocal subsidiary conditions which…

Strongly Correlated Electrons · Physics 2008-11-26 P. Fulde , F. Pollmann

T-duality is a symmetry of the heterotic string to all orders in string perturbation theory. This results in an effective four dimensional supergravity theory with desirable features for phenomenology. T-duality, as well as, generically, an…

High Energy Physics - Theory · Physics 2015-05-14 Mary K. Gaillard

We classify potential cosmic strings according to the topological charge measurable outside the string core. We conjecture that in string theory it is this charge that governs the stability of long strings. This would imply that the SO(32)…

High Energy Physics - Theory · Physics 2009-11-11 Joseph Polchinski

We consider open strings ending on D-branes in the presence of constant metric, G, antisymmetric tensor, B and gauge field, A. The Hamiltonian is manifestly invariant under a global noncompact group; strikingly similar to toroidally…

High Energy Physics - Theory · Physics 2009-10-31 J. Maharana , S. S. Pal

Fix a degree $d$ projective curve $X \subset \mathbb{P}^r$ over an algebraically closed field $K$. Let $U \subset (\mathbb{P}^r)^*$ be a dense open subvariety such that every hyperplane $H \in U$ intersects $X$ in $d$ smooth points. Varying…

Algebraic Geometry · Mathematics 2020-11-17 Borys Kadets

We review the basics of the dynamics of closed strings moving along the discretized line \Z. The string excitations are described by a field \phi_x(\tau) where x is the position of the string in the embedding space and \tau is a…

High Energy Physics - Theory · Physics 2007-05-23 Ivan K. Kostov

We explore the family of fixed points of T-Duality transformations in three dimensions. For the simplest nontrivial self-duality conditions it is possible to show that, additionally to the spacelike isometry in which the T-Duality…

High Energy Physics - Theory · Physics 2008-11-26 Eloy Ayón-Beato , Gaston Giribet

We study ${\cal N}=2$ compactifications of heterotic string theory on the CHL orbifold $(K3\times T^2)/\mathbb{Z}_N$ with $N= 2, 3, 5, 7$. $\mathbb{Z}_N$ acts as an involution on $K3$ together with a shift of $1/N$ along one of the circles…

High Energy Physics - Theory · Physics 2016-03-23 Shouvik Datta , Justin R. David , Dieter Lust

We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a…

High Energy Physics - Theory · Physics 2010-04-07 Nathan Seiberg , Edward Witten

Noncompact groups, similar to those that appeared in various supergravity theories in the 1970's, have been turning up in recent studies of string theory. First it was discovered that moduli spaces of toroidal compactification are given by…

High Energy Physics - Theory · Physics 2010-11-01 Jnan Maharana , John H. Schwarz

The matrix model formulation of two dimensional string theory has been shown to admit time dependent classical solutions whose closed string duals are geodesically incomplete space-times with space-like boundaries. We investigate some…

High Energy Physics - Theory · Physics 2008-11-26 Sumit R. Das , Luiz H. Santos

Anomalous U(1) gauge symmetries appear frequently both in heterotic and type I/type II string theory. In the heterotic case we find at most a single anomalous U(1), while in open string theories several such symmetries can appear. We review…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans Peter Nilles

This thesis investigates the quantum properties of T-duality invariant formalisms of String Theory. We introduce and review duality invariant formalisms of String Theory including the Doubled Formalism. We calculate the background field…

High Energy Physics - Theory · Physics 2010-12-21 Daniel C. Thompson

I review the appearance, within Matrix theory, of the $SL(5,Z)$ U-duality group of M-theory on $T^4$, and the duality between M-theory on K3 and the Heterotic string on $T^3$. In both cases the duality is geometrical and manifest.

High Energy Physics - Theory · Physics 2009-10-30 Micha Berkooz

Using E-strings, we can analyze not only six-dimensional superconformal field theories but also probe vacua of non-perturabative heterotic string. We study strings made of D3-branes wrapped on various two-cycles in the global F-theory…

High Energy Physics - Theory · Physics 2017-10-25 Kang-Sin Choi , Soo-Jong Rey

Stationary rotating strings can be viewed as geodesic motions in appropriate metrics on a two-dimensional space. We obtain all solutions describing stationary rotating strings in flat spacetime as an application. These rotating strings have…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Kouji Ogawa , Hideki Ishihara , Hiroshi Kozaki , Hiroyuki Nakano , Shinya Saito
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