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The structures in target space geometry that correspond to conformally invariant boundary conditions in WZW theories are determined both by studying the scattering of closed string states and by investigating the algebra of open string…

High Energy Physics - Theory · Physics 2009-10-31 G. Felder , J. Fröhlich , J. Fuchs , C. Schweigert

We study a relationship between conformally invariant boundary conditions and anomalies of conformal field theories (CFTs) in 1+1 dimensions. For a given CFT with a global symmetry, we consider symmetric gapping potentials which are…

High Energy Physics - Theory · Physics 2024-07-12 Linhao Li , Chang-Tse Hsieh , Yuan Yao , Masaki Oshikawa

Just as a symmetric surface with separating fixed locus halves into two oriented bordered surfaces, an arbitrary symmetric surface halves into two oriented symmetric half-surfaces, i.e. surfaces with crosscaps. Motivated in part by the…

Symplectic Geometry · Mathematics 2014-07-16 Penka Georgieva , Aleksey Zinger

In this paper we apply the previously derived formalism of permutation orbifold conformal field theories to N=2 supersymmetric minimal models. By interchanging extensions and permutations of the factors we find a very interesting structure…

High Energy Physics - Theory · Physics 2011-08-03 M. Maio , A. N. Schellekens

We use analytic bootstrap techniques for a CFT with an interface or a boundary. Exploiting the analytic structure of the bulk and boundary conformal blocks we extract the CFT data. We further constrain the CFT data by applying the equation…

High Energy Physics - Theory · Physics 2021-09-21 Parijat Dey , Alexander Söderberg

This paper develops an infinitesimal order of magnitude coupled with overflow technique that allows nonnumerical proofs of nondegenerate and degenerate inverse mapping theorems for mappings minimally regular at a point. This approach is…

Analysis of PDEs · Mathematics 2012-07-23 Tom McGaffey

We study T^2 orientifolds and their moduli space in detail. Geometrical insight into the involutive automorphisms of T^2 allows a straightforward derivation of the moduli space of orientifolded T^2s. Using c=3 Gepner models, we compare the…

High Energy Physics - Theory · Physics 2007-05-23 Brandon Bates , Charles Doran , Koenraad Schalm

We extend the theory of matter-wave interferometry of point-like particles to non-spherical objects by taking the orientational degrees of freedom into account. In particular, we derive the grating transformation operator, that maps the…

Quantum Physics · Physics 2015-12-31 Benjamin A. Stickler , Klaus Hornberger

In the area of symbolic-numerical computation within computer algebra, an interesting question is how "close" a random input is to the "critical" ones, like the singular matrices in linear algebra or the polynomials with multiple roots for…

Algebraic Geometry · Mathematics 2019-07-19 Joachim von zur Gathen , Guillermo Matera

Duality symmetries for strings moving in non-trivial spacetime backgrounds are analysed. It is shown that, for backgrounds generated from compact WZW and coset models, such duality symmetries are exact to all orders in string perturbation…

High Energy Physics - Theory · Physics 2007-05-23 E. Kiritsis

The observed hemispherical asymmetry in CMB map can be explained by modulation from a long wavelength super horizon mode which non-linearly couples to the CMB modes. We address the criticism in [1] about the role of non-Gaussianities in…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Mohammad Hossein Namjoo , Ali Akbar Abolhasani , Shant Baghram , Hassan Firouzjahi

The simplest orientifolds of the WZW models are obtained by gauging a Z_2 symmetry group generated by a combined involution of the target Lie group G and of the worldsheet. The action of the involution on the target is by a twisted…

High Energy Physics - Theory · Physics 2008-11-26 Krzysztof Gawedzki , Rafal R. Suszek , Konrad Waldorf

We study gauging operations (or group extensions) in (smeared) boundary conformal field theories (BCFTs) and bulk conformal field theories, and their applications to various phenomena in topologically ordered systems. We apply the resultant…

High Energy Physics - Theory · Physics 2025-08-22 Yoshiki Fukusumi

We investigate D-branes in orientifolds of WZW models. A connection between the conformal field theory approach to orientifolds and the target space motivated analysis is established. In particular, we associate previously constructed…

High Energy Physics - Theory · Physics 2009-11-07 Ilka Brunner

We illustrate how boundary states are recovered when going from a noncommutative manifold to a commutative one with a boundary. Our example is the noncommutative plane with a defect, whose commutative limit was found to be a punctured plane…

High Energy Physics - Theory · Physics 2009-11-10 A. Pinzul , A. Stern

A new version of double field theory (DFT) is derived for the exactly solvable background of an in general left-right asymmetric WZW model in the large level limit. This generalizes the original DFT that was derived via expanding closed…

High Energy Physics - Theory · Physics 2015-03-03 Ralph Blumenhagen , Falk Hassler , Dieter Lust

Spin textures are ubiquitous in antiferromagnets, yet their consequences for altermagnets remain largely unexplored. We show that smooth spatial variations of the N\'eel order act on itinerant electrons as emergent gauge fields, producing…

Mesoscale and Nanoscale Physics · Physics 2026-03-12 Andrea Maiani

This paper studies the problems of embedding and isomorphism for countably generated Hilbert C*-modules over commutative C*-algebras. When the fibre dimensions differ sufficiently, relative to the dimension of the spectrum, we show that…

Operator Algebras · Mathematics 2015-06-01 Leonel Robert , Aaron Tikuisis

Conformal fields with boundaries give rise to rich critical phenomena that can reveal information about the underlying conformality. While most existing studies focus on Hermitian systems, here we explore boundary critical phenomena in a…

Statistical Mechanics · Physics 2026-01-01 Yin Tang , Qianyu Liu , Qicheng Tang , W. Zhu

Edgeworth-type expansions for convolutions of probability densities and powers of the characteristic functions with non-uniform error terms are established for i.i.d. random variables with finite (fractional) moments of order $s \geq 2$,…

Probability · Mathematics 2011-04-20 S. G. Bobkov , G. P. Chistyakov , F. Götze
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