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We examine the concentration of uniform generalization errors around their expectation in binary linear classification problems via an isoperimetric argument. In particular, we establish Poincar\'{e} and log-Sobolev inequalities for the…

Machine Learning · Statistics 2025-06-27 Shogo Nakakita

We investigate the generic distribution of bosonic and fermionic states at all mass levels in non-supersymmetric string theories, and find that a hidden ``misaligned supersymmetry'' must always appear in the string spectrum. We show that…

High Energy Physics - Theory · Physics 2009-10-28 Keith R. Dienes

Strings propagating in AdS_{D+1} are made Weyl invariant to leading order in large D by a ghost-matter coupling that preserves the Poincare symmetry of the boundary.

High Energy Physics - Theory · Physics 2009-11-07 Ian Davies , Paul Mansfield

A matrix model which has the manifest ten-dimensional N=2 super Poincare invariance is proposed. Interactions between BPS-saturated states are analyzed to show that massless spectrum is the same as that of type IIB string theory. It is…

High Energy Physics - Theory · Physics 2009-10-30 N. Ishibashi , H. Kawai , Y. Kitazawa , A. Tsuchiya

In presence of a static pair of sources, the spectrum of low-lying states of any confining gauge theory in D space-time dimensions is described, at large source separations, by an effective string theory. Recently two important advances…

High Energy Physics - Lattice · Physics 2014-01-08 Marco Billò , Michele Caselle , Davide Fioravanti , Ferdinando Gliozzi , Marco Meineri , Roberto Pellegrini , Roberto Tateo

In this note we expose some surprising connections between string theory and statistical inference. We consider a large collective of agents sweeping out a family of nearby statistical models for an M-dimensional manifold of statistical…

High Energy Physics - Theory · Physics 2013-07-25 Jonathan J. Heckman

We extend previous techniques for calculations of transplanckian-energy string-string collisions to the high-energy scattering of massless closed strings from a stack of N Dp-branes in Minkowski spacetime. We show that an effective…

High Energy Physics - Theory · Physics 2010-11-26 Giuseppe D'Appollonio , Paolo Di Vecchia , Rodolfo Russo , Gabriele Veneziano

There are at present two known string theories in $(2,2)$ dimensions. One of them is the well known $N=2$ string, and the other one is a more recently constructed $N=1$ spacetime supersymmetric string. They are both based on certain…

High Energy Physics - Theory · Physics 2010-04-06 H. Lu , C. N. Pope , E. Sezgin

We study restrictions on scattering amplitudes on the worldvolume of branes and strings (such as confining flux tubes in QCD) implied by the target space Poincare symmetry. We focus on exploring the conditions for the string worldsheet…

High Energy Physics - Theory · Physics 2015-06-19 Patrick Cooper , Sergei Dubovsky , Victor Gorbenko , Ali Mohsen , Stefano Storace

The main objective of this article is to extend the concept of transversality to supergeometry. Transversality has two important properties in the classical case, namely " stability" and " genericity", which we show in the following that in…

Differential Geometry · Mathematics 2025-06-30 Fatemeh Alikhani , Mehdi Ghorbani , Saad Varsaie

I review the construction of an action for open superstring field theory which does not suffer from the contact term problems of other approaches. This action resembles a Wess-Zumino-Witten action and can be constructed in a manifestly D=4…

High Energy Physics - Theory · Physics 2007-05-23 Nathan Berkovits

The field content of the two dimensional string theory consists of the dynamical tachyon field and some nonpropagating fields which consist in the topological sector of this theory. We propose in this paper to study this topological sector…

High Energy Physics - Theory · Physics 2008-02-03 Miao Li

We introduce a class of subshifts governed by finitely many two-sided infinite words. We call these words leading sequences. We show that any locally constant cocycle over such a subshift is uniform. From this we obtain Cantor spectrum of…

Dynamical Systems · Mathematics 2019-06-06 Rostislav Grigorchuk , Daniel Lenz , Tatiana Nagnibeda , Daniel Sell

A recently proposed model of confining strings has a non-local world-sheet action induced by a space-time Kalb-Ramond tensor field. Here we show that, in the large-D approximation, an infinite set of ghost- and tachyon-free truncations of…

High Energy Physics - Theory · Physics 2009-10-31 M. C. Diamantini , H. Kleinert , C. A. Trugenberger

Several arguments are given for the summability of the superstring perturbation series. Whereas the Schottky group coordinatization of moduli space may be used to provide refined estimates of large-order bosonic string amplitudes, the…

High Energy Physics - Theory · Physics 2009-10-31 Simon Davis

Under Poincar\'e-type conditions, upper bounds are explored for the Kolmogorov distance between the distributions of weighted sums of dependent summands and the normal law. Based on improved concentration inequalities on high-dimensional…

Probability · Mathematics 2020-11-19 S. G. Bobkov , G. P. Chistyakov , F. Götze

We investigate the dynamics of an arbitrary Dirichlet (D-) string in presence of general curved backgrounds following a path-integral formalism. In particular, we consider the interaction of D-string with the massless excitations of closed…

High Energy Physics - Theory · Physics 2008-11-26 Supriya Kar

The paper deals with the problem of existence of a convergent "strong" normal form in the neighbourhood of an equilibrium, for a finite dimensional system of differential equations with analytic and time-dependent non-linear term. The…

Dynamical Systems · Mathematics 2016-09-27 Alessandro Fortunati , Stephen Wiggins

Modular invariance is a necessary condition for the consistency of any closed string theory. In particular, it imposes stringent constraints on the spectrum of orbifold theories, and in principle determines their spectrum uniquely up to…

High Energy Physics - Theory · Physics 2009-10-31 O. Bergman , M. R. Gaberdiel

We look at the continuum limit of the two universal predictions of the hadronic string theory namely the Luescher term and the energy difference between successive energy states in three dimensional SU(2) lattice gauge theory using Wilson…

High Energy Physics - Lattice · Physics 2007-05-23 Pushan Majumdar