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This short note introduces a simple symmetric contraction property for functionals. This property clearly characterizes Dirichlet forms in the linear case. We show that it also characterizes Dirichlet forms in the non-linear case.…

Functional Analysis · Mathematics 2025-06-09 Simon Puchert

We apply the Dirac bracket quantization to open strings attached to branes in the presence of background antisymmetric field and recover an inherent noncommutativity in the internal coordinates of the brane.

High Energy Physics - Theory · Physics 2009-10-07 F. Ardalan , H. Arfaei , M. M. Sheikh-Jabbari

We investigate the boundary behavior of variational solutions of Dirichlet problems for prescribed mean curvature equations at smooth boundary points where certain boundary curvature conditions are satisfied (which preclude the existence of…

Analysis of PDEs · Mathematics 2019-01-30 Mozhgan , Entekhabi , Kirk E. Lancaster

We study renormalization-group flow patterns in theories arising on D1-branes in various supersymmetry-breaking backgrounds. We argue that the theory of N D1-branes transverse to an orbifold space can be fine-tuned to flow to the…

High Energy Physics - Theory · Physics 2010-02-03 Eva Silverstein , Yun S. Song

Using the boundary state formalism we investigate the effect of tachyon condensation process on a rotating and moving D$p$-brane with various background fields in the bosonic string theory. The rotation and motion are inside the brane…

High Energy Physics - Theory · Physics 2016-08-08 Davoud Kamani

S(pacelike)D-branes are objects arising naturally in string theory when Dirichlet boundary conditions are imposed on the time direction. SD-brane physics is inherently time-dependent. Previous investigations of gravity fields of SD-branes…

High Energy Physics - Theory · Physics 2009-11-10 Frederic Leblond , Amanda W. Peet

A geometric string solution has background fields in overlapping coordinate patches related by diffeomorphisms and gauge transformations, while for a non-geometric background this is generalised to allow transition functions involving…

High Energy Physics - Theory · Physics 2009-11-10 C M Hull

We discuss carefully the vertices which describe the dipole open strings and closed strings on a D-brane with magnetic flux on a torus. Translation invariance along closed cycles forces surprisingly closed string vertices written in open…

High Energy Physics - Theory · Physics 2010-02-23 I. Pesando

This presentation is intended to give a flavour of the physics to be studied and discovered by exploiting the interface between string theory, M-theory and field theory provided by the dynamics of extended objects called `branes', and their…

High Energy Physics - Theory · Physics 2007-05-23 Clifford V. Johnson

The appearance of space/time non-commutativity in theories of open strings with a constant non-diagonal background metric is considered. We show that, even if the space-time coordinates commute, when there is a metric with a time-space…

High Energy Physics - Theory · Physics 2015-06-26 G. De Risi , G. Grignani , M. Orselli

A family of conformal boundary states for a free boson on a circle is constructed. The family contains superpositions of conventional U(1)-preserving Neumann and Dirichlet branes, but for general parameter values the boundary states are…

High Energy Physics - Theory · Physics 2010-02-03 M. R. Gaberdiel , A. Recknagel

We present a method of solving a nonlinear Dirichlet problem with discontinuous boundary data and we give a probabilistic representation of the solution using the nonlocal branching process associated with the nonlinear term of the…

Probability · Mathematics 2024-10-23 Lucian Beznea , Oana Lupascu-Stamate , Alexandra Teodor

A systematic construction is given for N=1 open string boundary coupling to Abelian and non-Abelian Dp-brane worldvolume fields, in general curved backgrounds. The basic ingredient is a set of four ``boundary vectors'' that provide a…

High Energy Physics - Theory · Physics 2007-05-23 S. F. Hassan

We review what is known about boundary conditions in General Relativity on a spacetime of Euclidean signature. The obvious Dirichlet boundary condition, in which one specifies the boundary geometry, is actually not elliptic and in general…

High Energy Physics - Theory · Physics 2023-07-18 Edward Witten

The perturbative analysis of models of open and closed superstrings presents a number of surprises. For instance, variable numbers of antisymmetric tensors ensure their consistency via generalized Green-Schwarz cancellations and a novel…

High Energy Physics - Theory · Physics 2009-10-30 Augusto Sagnotti

The decay of an unstable D-brane via closed string emission and open string pair production is considered in subcritical string theory with a spacelike linear dilaton. The decay rate is given by the imaginary part of the annulus, which has…

High Energy Physics - Theory · Physics 2009-11-10 Joanna L. Karczmarek , Hong Liu , Juan Maldacena , Andrew Strominger

D-branes intersecting at an arbitrary fixed angle generically constitute a configuration unstable toward recombination. The reconnection of the branes nucleates at the intersection point and involves a generalization of the process of brane…

High Energy Physics - Theory · Physics 2009-11-10 Nicholas T. Jones , S. -H. Henry Tye

We study string theory on the analytically continued $\beta$ deformed background proposed in hep-th/0509036. This non-static model provides a solvable conformal field theory which describes time-dependent twisted string dynamics. With the…

High Energy Physics - Theory · Physics 2008-11-26 Ta-Sheng Tai

One-loop string scattering amplitudes computed using the standard D0-brane conformal field theory (CFT) suffer from infrared divergences associated with recoil. A systematic framework to take recoil into account is the worldline formalism,…

High Energy Physics - Theory · Physics 2009-11-11 Ben Craps , Oleg Evnin , Shin Nakamura

Decoupling limits of physical interest occur in regions of space--time where the string coupling diverges. This is illustrated in the celebrated example of five-branes. There are several ways to overcome this strong-coupling problem. We…

High Energy Physics - Theory · Physics 2007-05-23 E. Kiritsis , C. Kounnas , P. M. Petropoulos , I. Rizos
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