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We study the two-matrix model which represents the sum over closed and open random surfaces coupled to an Ising Model. The boundary conditions are characterized by the fact that the Ising spins sitting at the vertices of the boundaries are…

High Energy Physics - Theory · Physics 2010-11-01 Laurent Houart

We study T-duality for open strings on tori $\T^d$. The general boundary conditions for the open strings are constructed, and it is shown that T-duality group, which preserves the mass spectrum of closed strings, preserves also the mass…

High Energy Physics - Theory · Physics 2007-05-23 Hiroshige Kajiura

Amplitudes in open topological string theory may be described completely by certain A-infinity-categories. We detail a general construction of all cyclic minimal models for a given A-infinity-algebra and apply this result to the case of N=2…

High Energy Physics - Theory · Physics 2009-07-22 Nils Carqueville

The collective behavior of the SL(2,R) covariant brane states of non-critical c=1 string theory found in a previous work, is studied in the Fermi liquid approximation. It is found that such states mimick the coset WZW model, whereas only by…

High Energy Physics - Theory · Physics 2008-12-18 Bruno Carneiro da Cunha

We study a topological Landau-Ginzburg model with superpotential W(X)=X^{-1}. This is argued to be equivalent to c=1 string theory compactified at the self-dual radius. We compute the tree-level correlation function of N tachyons in this…

High Energy Physics - Theory · Physics 2010-11-01 Debashis Ghoshal , Sunil Mukhi

We compute the annulus diagram corresponding to the interaction of a fractional D3 brane with a gauge field on its world-volume and a stack of N fractional D3 branes on the orbifolds C^2 /Z_2 and C^3/Z_2 x Z_2. We show that its logarithmic…

High Energy Physics - Theory · Physics 2009-11-10 P. Di Vecchia , A. Liccardo , R. Marotta , F. Pezzella

Witten's topological B-model on a Calabi-Yau background is known to reproduce, in the open string sector, the derived category of coherent sheaves. When the target space is a complex torus, the topological model enjoys a non-geometric…

Differential Geometry · Mathematics 2025-07-18 Daniel M. Halmrast

In this article we review the conditions for the validity of the gauge/gravity correspondence in both supersymmetric and non-supersymmetric string models. We start by reminding what happens in type IIB theory on the orbifolds C^2/Z_2 and…

High Energy Physics - Theory · Physics 2011-07-19 Paolo Di Vecchia , Antonella Liccardo , Raffaele Marotta , Franco Pezzella

Recent work on the action of T duality on Dirichlet-branes is generalized to the case in which the open string satisfies boundary conditions that are neither Neumann nor Dirichlet. This is achieved by implementing T duality as a canonical…

High Energy Physics - Theory · Physics 2009-10-30 G. Amelino-Camelia , N. E. Mavromatos

We investigate how topological entanglement of Chern-Simons theory is captured in a string theoretic realization. Our explorations are motivated by a desire to understand how quantum entanglement of low energy open string degrees of freedom…

High Energy Physics - Theory · Physics 2020-01-08 Veronika E. Hubeny , Roji Pius , Mukund Rangamani

We show that the $c=1$ bosonic string theory at finite temperature has two matrix-model realizations related by a kind of duality transformation. The first realization is the standard one given by the compactified matrix quantum mechanics…

High Energy Physics - Theory · Physics 2010-04-05 Sergei Yu. Alexandrov , Vladimir A. Kazakov , Ivan K. Kostov

We give a non-perturbative completion of a class of closed topological string theories in terms of building blocks of dual open strings. In the specific case where the open string is given by a matrix model these blocks correspond to a…

High Energy Physics - Theory · Physics 2011-09-09 Miranda C. N. Cheng , Robbert Dijkgraaf , Cumrun Vafa

We investigate boundary dynamics of orbifold conformal field theory involving T-duality twists. Such models typically appear in contexts of non-geometric string compactifications that are called monodrofolds or T-folds in recent literature.…

High Energy Physics - Theory · Physics 2009-06-11 Shinsuke Kawai , Yuji Sugawara

We consider the topological string partition function, including the Nekrasov deformation, for type IIB geometries with an A_{n-1} singularity over a Riemann surface. These models realize the N=2 SU(n) superconformal gauge systems recently…

High Energy Physics - Theory · Physics 2009-09-15 Robbert Dijkgraaf , Cumrun Vafa

We study conformal field theory correlation functions relevant for string diagrams with open strings that stretch between several parallel branes of different dimensions. In the framework of conformal field theory, they involve boundary…

High Energy Physics - Theory · Physics 2009-10-31 J. Froehlich , O. Grandjean , A. Recknagel , V. Schomerus

We propose a new formalism to study the ABJM matrix model. Contrary to expressing the fractional brane background with the Wilson loops in the open string formalism, we formulate the Wilson loop expectation value from the viewpoint of the…

High Energy Physics - Theory · Physics 2016-12-21 Kazuki Kiyoshige , Sanefumi Moriyama

We continue the study of 2D gravity -- ``matrix model'' duality on the example of $(2,2p+1)$ minimal string. We propose a reformulation of the duality, related to a more conventional one by ``$x-y$ swap'' in the language of topological…

High Energy Physics - Theory · Physics 2025-08-06 Aleksandr Artemev

Many extensions of the standard model, especially grand unified theories and superstring models, predict the existence of additional Z' bosons and associated exotic chiral supermultiplets. It has recently been argued that for classes of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul Langacker

In a previous paper (hep-th/0509067) using matrix model, we showed that closed string tachyons can resolve spacelike singularity in one particular class of Misner space (with anti-periodic boundary conditions for fermions around the spatial…

High Energy Physics - Theory · Physics 2008-11-26 Jian-Huang She

Duality symmetries in M--theory and string theory are reviewed, with particular emphasis on the way in which string winding modes and brane wrapping modes can lead to new spatial dimensions. Brane world-volumes wrapping around Lorentzian…

High Energy Physics - Theory · Physics 2007-05-23 C. M. Hull
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