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We calculate some tree level scattering amplitudes for a generalization of the protostring, which is a novel string model implied by the simplest string bit models. These bit models produce a lightcone worldsheet which supports $s$ integer…

High Energy Physics - Theory · Physics 2016-11-23 Charles B. Thorn

For correlators in $\mathcal{N}=4$ Super Yang-Mills preserving half the supersymmetry, we manifestly recast the gauge theory Feynman diagram expansion as a sum over dual closed strings. Each individual Feynman diagram maps on to a Riemann…

High Energy Physics - Theory · Physics 2024-12-19 Rajesh Gopakumar , Rishabh Kaushik , Shota Komatsu , Edward A. Mazenc , Debmalya Sarkar

At the tree level, the scattering processes involving open and closed strings are described by a disk world-sheet with vertex operator insertions at the boundary and in the bulk. Such amplitudes can be decomposed as certain linear…

High Energy Physics - Theory · Physics 2016-02-17 Stephan Stieberger , Tomasz R. Taylor

In this paper, we mainly establish the existence of at least three non-trivial solutions for a class of nonhomogeneous quasilinear elliptic systems with Dirichlet boundary value or Neumann boundary value in a bounded domain…

Analysis of PDEs · Mathematics 2024-06-28 Xiaoli Yu , Xingyong Zhang

We reconsider the tensionless limit on bosonic closed string theory, where the 3d Bondi-Metzner-Sachs (BMS) algebra appears as symmetries on the worldsheet, as opposed to two copies of the Virasoro algebra in the case of the usual tensile…

High Energy Physics - Theory · Physics 2019-09-18 Arjun Bagchi , Aritra Banerjee , Pulastya Parekh

We study isospectrality for manifolds with mixed Dirichlet-Neumann boundary conditions and express the well-known transplantation method in graph- and representation-theoretic terms. This leads to a characterization of transplantability in…

Differential Geometry · Mathematics 2014-10-31 Peter Herbrich

We investigate classical solutions of string field theory proposed by Takahashi and Tanimoto in the case of even order polynomial functions. The BRS charge and the Feynman propagator of open string field theory expanded around the solution…

High Energy Physics - Theory · Physics 2009-11-10 Syoji Zeze

In {\em Phys.\ Lett.} {\bf B 660}, 583 (2008), it was proposed that the D-brane geometry could be produced by open string quantum effects. In an effort to verify the proposal, we consider scattering amplitudes involving {\em massive} open…

High Energy Physics - Theory · Physics 2011-08-02 I. Y. Park

Discontinuous piecewise differential systems exhibit dynamical behaviors with no counterpart in smooth systems, particularly in the presence of nonsmooth switching structures. In this work, we extend previous results for systems separated…

Dynamical Systems · Mathematics 2026-04-22 Sonia Isabel Renteria Alva , Pedro Iván Suárez Navarro

Open strings on a D$p$-brane in the pp-wave spacetime, accompanied by a linear dilaton background, will be studied. Various properties of this system such as solvability of equations of motion and quantization will be investigated.

High Energy Physics - Theory · Physics 2015-04-15 Davoud Kamani

The stringy picture behind the integrable spin chains governing the evolution equations in Yang-Mills theory is discussed. It is shown that one-loop dilatation operator in N=4 theory can be expressed in terms of two-point functions on 2d…

High Energy Physics - Theory · Physics 2007-05-23 A. Gorsky

Periodic boundary conditions are applied to a ferromagnetic spin lattice. A symmetrical lattice and its contributions all over space are being used. Results, for the Ising model with ferromagnetic interaction that decays as a $1/r^{D+\nu}$…

Statistical Mechanics · Physics 2009-11-10 Sergio Curilef

In this letter, we study the open spinning strings and their SYM duals. A new class of folded open spinning strings is found. At planar one-loop level in SYM, by solving the thermodynamic limit of the Bethe ansatz equations for an…

High Energy Physics - Theory · Physics 2009-11-10 Bin Chen , Xiao-Jun Wang , Yong-Shi Wu

A lattice model for four dimensional Euclidean quantum general relativity is proposed for a simplicial spacetime. It is shown how this model can be expressed in terms of a sum over worldsheets of spin networks, and an interpretation of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael P. Reisenberger

Aiming at the study of critical phenomena in the presence of boundaries with a non-trivial shape we discuss how lattices with an adaptive lattice spacing can be implemented. Since the parameters of the Hamiltonian transform non-trivially…

Statistical Mechanics · Physics 2015-03-25 Martin Hasenbusch

We derive a concrete closed string dual to any interacting Hermitian one-matrix model, away from the double-scaling limit. Matrix and string correlators manifestly agree, to all orders in the genus expansion and all orders in the 't Hooft…

High Energy Physics - Theory · Physics 2026-04-06 Alessandro Giacchetto , Rajesh Gopakumar , Edward A. Mazenc

We use a new formula for the symplectic structure on the phase space of open string field theory to evaluate the energy of a D-brane carrying a constant electric flux. This is shown to be consistent with the energy computed using the…

High Energy Physics - Theory · Physics 2026-04-03 Vinícius Bernardes , Theodore Erler , Atakan Hilmi Fırat

Nonrelativistic open string theory is defined by a worldsheet theory that produces a Galilean invariant string spectrum and is described at low energies by a nonrelativistic Yang-Mills theory. We study T-duality transformations in the path…

High Energy Physics - Theory · Physics 2021-02-16 Jaume Gomis , Ziqi Yan , Matthew Yu

We analyze the large-$N$ expansion of general non-equilibrium systems with fluctuating matrix degrees of freedom and $SU(N)$ symmetry, using the Schwinger-Keldysh formalism and its closed real-time contour with a forward and backward…

High Energy Physics - Theory · Physics 2020-09-16 Petr Horava , Christopher J. Mogni

We define the open string version of the nonlinear sigma model on doubled geometry introduced by Hull and Reid-Edwards, and derive its boundary conditions. These conditions include the restriction of D-branes to maximally isotropic…

High Energy Physics - Theory · Physics 2009-05-23 Cecilia Albertsson , Tetsuji Kimura , Ronald A. Reid-Edwards