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We examine the behavior of the entanglement asymmetry in the ground state of a (1+1)-dimensional conformal field theory with a boundary condition that explicitly breaks a bulk symmetry. Our focus is on the asymmetry of a subsystem $A$…

High Energy Physics - Theory · Physics 2024-11-25 Michele Fossati , Colin Rylands , Pasquale Calabrese

We investigate quantum field theory in a bulk space with boundary, which represents a 3-brane. Both flat and anti-de Sitter backgrounds are considered. The basic idea is to keep local commutativity only on the brane, giving up this…

High Energy Physics - Theory · Physics 2009-11-07 Mihail Mintchev

We study the boundary-localized Lie algebra generated by the rank-one perturbation \(T = U + \varepsilon E\) of the unilateral shift on \(\ell^2(\mathbb{Z}_{\ge\ 0})\). While the polynomial algebra \(\langle T \rangle\) is abelian, the…

Rings and Algebras · Mathematics 2025-11-07 Nassim Athmouni

This work explores a deformation of the Kitaev toric code that induces a phase transition out of the topologically ordered phase. By placing the model on a cylinder, the bulk global 1-form symmetries separate into distinct boundary…

Strongly Correlated Electrons · Physics 2026-02-05 Rodrigo Corso

We introduce a combinatorial model based on measured foliations in surfaces which captures the phenomenology of open/closed string interactions. The predicted equations are derived in this model, and new equations can be discovered as well.…

Geometric Topology · Mathematics 2008-11-26 Ralph M. Kaufmann , R. C. Penner

We complete the holomorphic anomaly equations for topological strings with their dependence on open moduli. We obtain the complete system by standard path integral arguments generalizing the analysis of BCOV (Commun. Math. Phys. 165 (1994)…

High Energy Physics - Theory · Physics 2009-06-11 Giulio Bonelli , Alessandro Tanzini

The interaction between a turbulent convective boundary layer (CBL) and the underlying land surface is an important research problem in the geosciences. In order to model this interaction adequately, it is necessary to develop tools which…

Data Analysis, Statistics and Probability · Physics 2019-06-10 José Licón-Saláiz , Cedrick Ansorge

We use the new nilpotent formulation of open-closed string field theory to explore the limit where the number $N$ of identical D-branes of the starting background is large. By reformulating the theory in terms of the 't Hooft coupling…

High Energy Physics - Theory · Physics 2023-09-21 Carlo Maccaferri , Alberto Ruffino , Jakub Vošmera

We formulate a theory of topological membranes on manifolds with G_2 holonomy. The BRST charges of the theories are the superspace Killing vectors (the generators of global supersymmetry) on the background with reduced holonomy G_2. In the…

High Energy Physics - Theory · Physics 2009-11-11 Ling Bao , Viktor Bengtsson , Martin Cederwall , Bengt E. W. Nilsson

We examine the extent to which the action for the membrane of M-theory (the eleven-dimensional construct which underlies and unifies all of the known string theories) simplifies in the so-called Open Membrane (OM) limit, a limit which lies…

High Energy Physics - Theory · Physics 2009-11-10 J. Antonio Garcia , Alberto Guijosa , J. David Vergara

We examine the structure of winding toroidal and open cylindrical membranes, especially in cases where they are stretched between boundaries. Non-zero winding or stretching means that there are linear terms in the mode expansion of the…

High Energy Physics - Theory · Physics 2016-09-06 Martin Cederwall

We investigate the quantum structure of Witten's cubic open bosonic string field theory by computing the one-loop contribution to the open string tadpole using both oscillator and conformal field theory methods. We find divergences and a…

High Energy Physics - Theory · Physics 2014-11-18 Ian Ellwood , Jessie Shelton , Washington Taylor

In canonical quantum gravity, the presence of spatial boundaries naturally leads to a boundary quantum states, representing quantum boundary conditions for the bulk fields. As a consequence, quantum states of the bulk geometry needs to be…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Qian Chen , Etera R. Livine

We use the remodeling approach to the B-model topological string in terms of recursion relations to study open string amplitudes at orbifold points. To this end, we clarify modular properties of the open amplitudes and rewrite them in a…

High Energy Physics - Theory · Physics 2010-04-30 Vincent Bouchard , Albrecht Klemm , Marcos Marino , Sara Pasquetti

We derive boundary states which describe configurations of multiple parallel branes with arbitrary open string states interactions in bosonic string theory. This is obtained by a careful discussion of the factorization of open/closed string…

High Energy Physics - Theory · Physics 2008-11-26 Igor Pesando

We discuss the homological aspects of the connection between quantum string generating function and the formal power series associated to the dimensions of chains and homologies of suitable Lie algebras. Our analysis can be considered as a…

High Energy Physics - Theory · Physics 2015-06-19 M. E. X. Guimaraes , R. M. Luna , T. O. Rosa

We give a systematic derivation of the consistency conditions which constrain open-closed disk amplitudes of topological strings. They include the A-infinity relations (which generalize associativity of the boundary product of topological…

High Energy Physics - Theory · Physics 2009-11-10 Manfred Herbst , C. I. Lazaroiu , Wolfgang Lerche

The perturbative analysis of models of open and closed superstrings presents a number of surprises. For instance, variable numbers of antisymmetric tensors ensure their consistency via generalized Green-Schwarz cancellations and a novel…

High Energy Physics - Theory · Physics 2009-10-30 Augusto Sagnotti

We identify and examine a generalization of topological sigma models suitable for coupling to topological open strings. The targets are Kahler manifolds with a real structure, i.e. with an involution acting as a complex conjugation,…

High Energy Physics - Theory · Physics 2009-10-22 Petr Horava

The study of the laws of nature has traditionally been pursued in the limit of isolated systems, where energy is conserved. This is not always a valid approximation, however, as the inclusion of features like gain and loss, or periodic…

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