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Discrete delta functions define the limits of attainable spatial resolution for all imaging systems. Here we construct broad, multi-dimensional discrete functions that replicate closely the action of a Dirac delta function under aperiodic…

Image and Video Processing · Electrical Eng. & Systems 2020-09-01 I. D. Svalbe , D. M. Paganin , T. C. Petersen

We find nonlocal particle theories with two dimensional conformal symmetry, including examples equivalent to the bosonic open string and closed string. This work provides a new approach to construct solvable consistent backgrounds in string…

High Energy Physics - Theory · Physics 2009-01-08 Tai-Chung Cheng , Pei-Ming Ho , Tze-Kei Lee

We study spacetime four-point functions of chiral primary operators for superstrings propagating in AdS$_3\times S^3\times T^4$ from the worldsheet perspective, allowing for external states with arbitrary spectral flow charges. We work at…

High Energy Physics - Theory · Physics 2025-10-20 Emiliano Barone , Sergio Iguri , Nicolas Kovensky , Julian H. Toro

We discuss the singularities in the moduli space of string compactifications to six dimensions with $N=1$ supersymmetry. Such singularities arise from either massless particles or non-critical tensionless strings. The points with…

High Energy Physics - Theory · Physics 2010-04-07 N. Seiberg , E. Witten

We describe how the presence of the antisymmetric tensor (torsion) on the world sheet action of string theory renders the size of the target space a gauge non invariant quantity. This generalizes the R <--> 1/R symmetry in which momenta and…

High Energy Physics - Theory · Physics 2009-10-31 Fedele Lizzi

Using a hybrid formalism, superstrings on AdS(3) x S(1) are studied in a manifestly supersymmetric manner. The world-sheet fields in this description including superspace coordinates are obtained through a field redefinition from the…

High Energy Physics - Theory · Physics 2009-11-10 Hiroshi Kunitomo

The dimension of random simplicial complexes (defined as the maximal dimension among all faces) is a natural extreme value associated with the complex, and is closely related to other functionals defined by a maximum, such as the clique…

Probability · Mathematics 2025-12-19 Kinga Nagy

We consider the Nambu-Goto bosonic string model as a description of the physics of interfaces. By using the standard covariant quantization of the bosonic string, we derive an exact expression for the partition function in dependence of the…

High Energy Physics - Theory · Physics 2009-11-11 M. Billo , M. Caselle , L. Ferro

The AdS_3 x S^3 string dynamics is described in a conformal gauge using the SL(2,R) and SU(2) group variables as the target space coordinates. A subclass of string surfaces with constant induced metric tensor on both AdS_3 and S^3…

Mathematical Physics · Physics 2012-09-19 George Jorjadze , Zurab Kepuladze , Luka Megrelidze

We study certain supersymmetry breaking deformations of linear dilaton backgrounds in different dimensions. In some cases, the deformed theory has bulk closed strings tachyons. In other cases there are no bulk tachyons, but there are…

High Energy Physics - Theory · Physics 2009-11-11 Nissan Itzhaki , David Kutasov , Nathan Seiberg

A common representation of a three dimensional object in computer applications, such as graphics and design, is in the form of a triangular mesh. In many instances, individual or groups of triangles in such representation need to satisfy…

Optimization and Control · Mathematics 2019-04-08 Valentin R. Koch , Hung M. Phan

We investigate string theory on Lorentzian AdS_3 in the minisuperspace approximation. The minisuperspace model reduces to the worldline theory of a scalar particle in the Lorentzian AdS_3. The Hilbert space consists of normalizable wave…

High Energy Physics - Theory · Physics 2009-11-10 Yasuaki Hikida

We construct complete sets of (open and closed string) covariant coherent state and mass eigenstate vertex operators in bosonic string theory. This construction can be used to study the evolution of fundamental cosmic strings as predicted…

High Energy Physics - Theory · Physics 2013-05-29 Dimitri Skliros , Mark Hindmarsh

We investigate the statistical properties of a randomly branched 3--functional $N$--link polymer chain without excluded volume, whose one point is fixed at the distance $d$ from the impenetrable surface in a 3--dimensional space. Exactly…

Statistical Mechanics · Physics 2009-11-10 M. V. Tamm , S. K. Nechaev , I. Ya. Erukhimovich

Toroidal backgrounds for bosonic strings are used to understand target space duality as a symmetry of string field theory and to study explicitly issues in background independence. Our starting point is the notion that the string field…

High Energy Physics - Theory · Physics 2010-11-01 Taichiro Kugo , Barton Zwiebach

On compactification to six spacetime dimensions, the fundamental heterotic string admits as a soliton a dual string whose effective worldsheet action couples to the background fields of the dual formulation of six-dimensional supergravity.…

High Energy Physics - Theory · Physics 2010-11-01 M. J. Duff

We study the resurgent structure of the refined topological string partition function on a non-compact Calabi-Yau threefold, at large orders in the string coupling constant $g_s$ and fixed refinement parameter $\mathsf{b}$. For…

High Energy Physics - Theory · Physics 2024-08-07 Sergey Alexandrov , Marcos Mariño , Boris Pioline

Superstring theories in the critical dimension D=10 are connected to one another by a well-explored web of dualities. In this paper we use closed-string tachyon condensation to connect the supersymmetric moduli space of the critical…

High Energy Physics - Theory · Physics 2008-11-26 Simeon Hellerman , Ian Swanson

The covariant and kappa-symmetric action for superstring in direct product of two flat D=10 N=1 superspaces is presented. It is given by the sum of supersymmetric generalization of two copies of chiral boson actions constructed with the use…

High Energy Physics - Theory · Physics 2015-11-04 Igor Bandos

A modified rigid string theory with infrared behaviour governed by a nontrivial fixed point is presented.

High Energy Physics - Theory · Physics 2011-04-20 Al. R. Kavalov
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