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We show that topological defects in the language of Landau-Ginzburg models carry information about the RG flow between the non-compact orbifolds $\mathbb{C}/\mathbb{Z}_d$. We show that such defects correctly implement the bulk-induced RG…

High Energy Physics - Theory · Physics 2017-03-08 Melanie Becker , Yaniel Cabrera , Daniel Robbins

We study orbifolds of two-dimensional topological field theories using defects. If the TFT arises as the twist of a superconformal field theory, we recover results on the Neveu-Schwarz and Ramond sectors of the orbifold theory as well as…

High Energy Physics - Theory · Physics 2014-09-16 Ilka Brunner , Nils Carqueville , Daniel Plencner

Orbifolding two-dimensional quantum field theories by a symmetry group can involve a choice of discrete torsion. We apply the general formalism of `orbifolding defects' to study and elucidate discrete torsion for topological field theories.…

High Energy Physics - Theory · Physics 2015-03-24 Ilka Brunner , Nils Carqueville , Daniel Plencner

We propose defect lines as a useful tool to study bulk perturbations of conformal field theories, in particular to analyse the induced renormalisation group flows of boundary conditions. As a concrete example we investigate bulk…

High Energy Physics - Theory · Physics 2008-11-26 Ilka Brunner , Daniel Roggenkamp

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

We show how conformal field theory topological defects can relate solutions of open string field theory for different boundary conditions. To this end we generalize the results of Graham and Watts to include the action of defects on…

High Energy Physics - Theory · Physics 2016-12-08 Toshiko Kojita , Carlo Maccaferri , Toru Masuda , Martin Schnabl

We propose a class of field theories featuring solitonic solutions in which topological defects can end when they intersect other defects of equal or higher dimensionality. Such configurations may be termed ``Dirichlet topological…

High Energy Physics - Theory · Physics 2009-10-30 Sean M. Carroll , Mark Trodden

We study topological defect lines in the symmetric-product orbifolds $\mathrm{Sym}^N(X)$ for a generic seed CFT $X$. We focus on the defects which preserve the maximum of the $S_N$ symmetry. When $X$ is taken to describe the free theory of…

High Energy Physics - Theory · Physics 2024-06-06 Bob Knighton , Vit Sriprachyakul , Jakub Vošmera

We investigate Landau-Ginzburg string theory with the singular superpotential X^{-1} on arbitrary Riemann surfaces. This theory, which is a topological version of the c=1 string at the self-dual radius, is solved using results from…

High Energy Physics - Theory · Physics 2009-10-28 Debashis Ghoshal , Camillo Imbimbo , Sunil Mukhi

In this paper the $c=1$ string theory is studied from the point of view of topological field theories. Calculations are done for arbitrary genus. A change in the prescription is proposed, which reproduces the results of the $1/x^2$ deformed…

High Energy Physics - Theory · Physics 2009-10-28 Ulf H. Danielsson

We consider the non-trivial boundary conformal field theory with exactly marginal boundary deformation. In recent years this deformation has been studied in the context of rolling tachyons and S-branes in string theory. Here we study the…

High Energy Physics - Theory · Physics 2008-11-26 Shinsuke Kawai , Esko Keski-Vakkuri , Robert G. Leigh , Sean Nowling

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 study conformal field theories for strings propagating on compact, seven-dimensional manifolds with G_2 holonomy. In particular, we describe the construction of rational examples of such models. We argue that analogues of Gepner models…

High Energy Physics - Theory · Physics 2010-02-03 R. Roiban , J. Walcher

We consider the topological defect lines commuting with the spectral flow and the $\mathcal{N}=(4,4)$ superconformal symmetry in two dimensional non-linear sigma models on K3. By studying their fusion with boundary states, we derive a…

High Energy Physics - Theory · Physics 2024-07-04 Roberta Angius , Stefano Giaccari , Roberto Volpato

This thesis is concerned with D-branes in topological string theory, focusing on the description of B-type D-branes in topological Landau-Ginzburg models. Such D-branes are characterized by matrix factorizations of the Landau-Ginzburg…

High Energy Physics - Theory · Physics 2007-09-14 Johanna Knapp

We compute topological correlators in Landau-Ginzburg models on a Riemann surface with arbitrary number of handles and boundaries. The boundaries may correspond to arbitrary topological D-branes of type B. We also allow arbitrary operator…

High Energy Physics - Theory · Physics 2008-11-26 Anton Kapustin , Yi Li

We study topological D-branes of type B in N=2 Landau-Ginzburg models, focusing on the case where all vacua have a mass gap. In general, tree-level topological string theory in the presence of topological D-branes is described…

High Energy Physics - Theory · Physics 2009-11-07 Anton Kapustin , Yi Li

We study the effect of bulk perturbations of N=(2,2) superconformal minimal models on topological defects. In particular, symmetries and more general topological defects which survive the flow to the IR are identified. Our method is to…

High Energy Physics - Theory · Physics 2020-07-07 Ilka Brunner , Ingrid Mayer , Cornelius Schmidt-Colinet

We present a general method to construct bulk-deformed open topological string theories from Landau-Ginzburg models. To this end we obtain a weak version of deformation quantisation, and we show how this together with the technique of…

High Energy Physics - Theory · Physics 2012-10-25 Nils Carqueville , Michael M. Kay

We construct a large class of conformal interfaces between two-dimensional c=1 conformal field theories describing compact free bosons and their Z_2 orbifolds. The interfaces are obtained by constructing boundary states in the corresponding…

High Energy Physics - Theory · Physics 2017-10-09 Melanie Becker , Yaniel Cabrera , Daniel Robbins
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