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The aim of this study is three-fold: (i) to present a general higher-order shell theory to analyze large deformations of thin or thick shell structures made of general compressible hyperelastic materials; (ii) to utilize the orthonormal or…

Numerical Analysis · Mathematics 2020-06-30 Archana Arbind , J N Reddy , A R Srinivasa

The quantum algebra of observables of the massive closed bosonic string in 1+3 dimensions has been developed so far in the rest frame of the string. In this paper a method to write this algebra in a manifestly Lorentz covariant form is…

High Energy Physics - Theory · Physics 2007-05-23 Diethard Peter

We study relativistic particle, string and membrane theories as defining field theories containing gravity in (0+1), (1+1) and (2+1) spacetime dimensions respectively. We show how an off shell invariance of the massless particle action…

High Energy Physics - Theory · Physics 2007-05-23 W. Chagas-Filho

One of the most fundamental graph problems is finding a shortest path from a source to a target node. While in its basic forms the problem has been studied extensively and efficient algorithms are known, it becomes significantly harder as…

Machine Learning · Computer Science 2023-10-19 Davin Jeong , Allison Gunby-Mann , Sarel Cohen , Maximilian Katzmann , Chau Pham , Arnav Bhakta , Tobias Friedrich , Sang Chin

We develop a direct method to recover an orthoalgebra from its poset of Boolean subalgebras. For this a new notion of direction is introduced. Directions are also used to characterize in purely order-theoretic terms those posets that are…

Quantum Algebra · Mathematics 2020-08-31 John Harding , Chris Heunen , Bert Lindenhovius , Mirko Navara

A string in four dimensions is constructed by supplementing it with forty four Majorana fermions. The later are represented by eleven vectors in the bosonic representation $SO(D-1,1)$. The central charge is 26. The fermions are grouped in…

High Energy Physics - Theory · Physics 2007-05-23 B. B. Deo , L. Maharana

We develop a relative version of Kostant's harmonic theory and use this to prove a relative version of Kostant's theorem on Lie algebra (co)homology. These are associated to two nested parabolic subalgebras in a semisimple Lie algebra. We…

Representation Theory · Mathematics 2016-08-01 Andreas Cap , Vladimir Soucek

We build a novel time-like coset sigma-model describing type-II superstring theory in a charged rotating black-brane background that interpolates between a locally $AdS_3$ in the IR and a linear-dilaton geometry in the UV. This allows one…

High Energy Physics - Theory · Physics 2022-09-13 Soumangsu Chakraborty , Mikhail Goykhman

I describe how superstring theory may violate spin-statistics in an experimentally observable manner. Reviewing the basics of superstring interactions and how to utilize these to produce a statistical phase, I then apply these ideas to two…

High Energy Physics - Theory · Physics 2009-01-14 Mark G. Jackson

We present a numerical linear programming bootstrap to construct dual model scattering amplitudes. Dual models describe tree-level exchanges of higher spin resonances in theories like string theory and large $N$ gauge theories. Despite…

High Energy Physics - Theory · Physics 2024-01-31 Christopher Eckner , Felipe Figueroa , Piotr Tourkine

In this lecture I summarize recent developments on strings propagating in curved spacetime. Exact conformal field theories that describe gravitational backgrounds such as black holes and more intricate gravitational singularities have been…

High Energy Physics - Theory · Physics 2008-02-03 Itzhak Bars

A systematic scheme is developed for solving conformal algebra of the massive vertex operators in the old covariant first quantized string theory. Using the first massive level in the covariant spectrum of bosonic open string theory in flat…

High Energy Physics - Theory · Physics 2009-08-19 Chuan-Tsung Chan , Wei-Ming Chen

We study analytically the constraints of the conformal bootstrap on the low-lying spectrum of operators in field theories with global conformal symmetry in one and two spacetime dimensions. We introduce a new class of linear functionals…

High Energy Physics - Theory · Physics 2017-05-24 Dalimil Mazac

We introduce compositional tensor trains (CTTs) for the approximation of multivariate functions, a class of models obtained by composing low-rank functions in the tensor-train format. This format can encode standard approximation tools,…

Numerical Analysis · Mathematics 2025-12-23 Martin Eigel , Charles Miranda , Anthony Nouy , David Sommer

We investigate a recently identified class of six-dimensional supergravities without tensor multiplets whose primitive BPS strings are described by a rational superconformal field theory. Rationality imposes severe constraints on the…

High Energy Physics - Theory · Physics 2026-05-19 Guglielmo Lockhart , Yann Proto

We describe a class of time-dependent solutions in string- or M-theory that are exact with respect to alpha-prime and curvature corrections and interpolate in physical space between regions in which the low energy physics is…

High Energy Physics - Theory · Physics 2011-02-15 Simeon Hellerman , Matthew Kleban

We canonically quantize closed string theory in the pp-wave background with a non-zero flux of the three-form field strength by using the covariant BRST operator formalism. In this canonical quantization, we completely construct new…

High Energy Physics - Theory · Physics 2008-11-26 Yoichi Chizaki , Shigeaki Yahikozawa

The (bosonic) Virasoro minimal string, which relates worldsheet string theory to a deformation of the JT gravity matrix model, provides an interesting example of a tractable matrix/string duality. We explore its $\mathcal{N} =1$…

High Energy Physics - Theory · Physics 2025-05-15 Mukund Rangamani , Jianming Zheng

We find a class of analytic solutions in open bosonic string field theory, parametrized by the chiral copy of higher spin algebra in $AdS_3$. The solutions are expressed in terms of the generating function for the products of Bell…

High Energy Physics - Theory · Physics 2015-12-02 Dimitri Polyakov

We propose a (3+1)D linear set of covariant vector equations, which unify the spin 0 ``new Dirac equation'' with its spin 1/2 counterpart, proposed by Staunton. Our equations describe a spin (0,1/2) supermultiplet with different numbers of…

High Energy Physics - Theory · Physics 2008-11-26 Peter A. Horvathy , Mikhail S. Plyushchay , Mauricio Valenzuela