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The quantization of pure 3D gravity with Dirichlet boundary conditions on a finite boundary is of interest both as a model of quantum gravity in which one can compute quantities which are "more local" than S-matrices or asymptotic boundary…

High Energy Physics - Theory · Physics 2021-10-29 Per Kraus , Ruben Monten , Richard M. Myers

We use the boundary state formalism for the bosonic string to calculate the emission amplitude for closed string states from particular D-branes. We show that the amplitudes obtained are exactly the same as those obtained from the…

High Energy Physics - Theory · Physics 2007-05-23 M. Laidlaw

In this article, we prove that Dirac brackets for Hamiltonian and non-Hamiltonian constrained systems can be derived recursively. We then study the applicability of that formulation in analysis of some interesting physical models.…

Mathematical Physics · Physics 2009-02-09 Sonnet Q H Nguyen , Lukasz A Turski

Nonanticommutativity in an open super string moving in the presence of a background antisymmetric tensor field $\mathcal{B}_{\mu \nu}$ is investigated in a conformal field theoretic approach, leading to nonanticommutative structures. In…

High Energy Physics - Theory · Physics 2008-11-26 Sunandan Gangopadhyay , Arindam Ghosh Hazra

We introduce T-duality invariant versions of D-branes in doubled geometry using a global covariant framework based on para-Hermitian geometry and metric algebroids. We define D-branes as conformal boundary conditions for the open string…

High Energy Physics - Theory · Physics 2022-03-22 Vincenzo Emilio Marotta , Richard J. Szabo

We consider the open superstring ending on a D-brane in the presence of a constant NS-NS B field, using the Green-Schwarz formalism. Quantizing in the light-cone gauge, we find that the anti-commutation relations for the fermionic variables…

High Energy Physics - Theory · Physics 2009-10-31 Chong-Sun Chu , Frederic Zamora

In this work we will investigate how the non-commutativity arises into the string theory, \textit{i.e.}, how the bosonic string theory attaches to a D3-brane in the presence of magnetic fields. In order to accomplish the proposal, we…

High Energy Physics - Theory · Physics 2015-12-02 M. A. De Andrade , C. Neves

In this work, a conformable singular system with second-class constraints is discussed. The conformable Poisson bracket (CDB) of two functions is defined. and, the Dirac theory is developed to be applicable to conformable singular systems.…

Classical Physics · Physics 2023-08-01 Eqab. M. Rabei , Mohamed. Al-Masaeed , Dumitru Baleanu

A relation between the Dirac bracket (DB) and Nambu bracket (NB) is presented. The Nambu bracket can be related with Dirac bracket if we can write the DB as a generalized Poisson structure. The NB associated with DB have all the standard…

High Energy Physics - Theory · Physics 2024-12-04 J. Antonio García , Rafael Cruz-Alvarez

Using boundary states we derive the presence of (chiral) fermions on the intersection of type 0 D-branes. The corresponding anomalous couplings on the branes are then computed. Furthermore, we discuss systems of branes sitting at $A_n$…

High Energy Physics - Theory · Physics 2009-10-31 Marco Billo' , Ben Craps , Frederik Roose

Canonical Hamiltonian field theory in curved spacetime is formulated in a manifestly covariant way. Second quantization is achieved invoking a correspondence principle between the Poisson bracket of classical fields and the commutator of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Leclerc

The open string ending on a D-brane with a constant B-field in a pp-wave Ramond-Ramond background is exactly solvable. The theory is controlled by three dimensionful parameters: alpha', the mass parameter (RR background times the lightcone…

High Energy Physics - Theory · Physics 2015-06-26 Chong-Sun Chu , Pei-Ming Ho

In non-diagonal conformal models, the boundary fields are not directly related to the bulk spectrum. We illustrate some of their features by completing previous work of Lewellen on sewing constraints for conformal theories in the presence…

High Energy Physics - Theory · Physics 2009-10-30 Gianfranco Pradisi , Augusto Sagnotti , Yassen S. Stanev

We study BPS Dirac monopole in U(1) gauge theory on non-commutative spacetime. The corresponding brane configuration is obtained in the equivalent ordinary gauge theory through the map proposed by Seiberg and Witten. This configuration…

High Energy Physics - Theory · Physics 2009-10-31 Koji Hashimoto , Takayuki Hirayama

The recently found non-critical open string theories is reviewed. These open strings, noncommutative open string theories (NCOS), arise as consistent quantum theories describing the low energy theory of D-branes in a background electric…

High Energy Physics - Theory · Physics 2009-10-07 M. M. Sheikh-Jabbari

We study noncommutative geometry in the framework of the Batalin-Fradkin-Tyutin(BFT) scheme, which converts second class constraint system into first class one. In an open string theory noncommutative geometry appears due to the mixed…

High Energy Physics - Theory · Physics 2009-10-31 Soon-Tae Hong , Won Tae Kim , Young-Jai Park , Myung Seok Yoon

We develop a theory of noncommutative Poisson extensions. For an augmented dg algebra \(A\), we show that any shifted double Poisson bracket on \(A\) induces a graded Lie algebra structure on the reduced cyclic homology. Under the…

Representation Theory · Mathematics 2025-11-03 Leilei Liu , Jieheng Zeng , Hu Zhao

We comment on the D-brane solutions for the boundary H3+ model that have been proposed so far and point out that many more types of D-branes should be considered possible. We start a systematic derivation of the 1/2- and b^{-2}/2-shift…

High Energy Physics - Theory · Physics 2008-11-14 Hendrik Adorf , Michael Flohr

The study of conformal boundary conditions for two-dimensional conformal field theories (CFTs) has a long history, ranging from the description of impurities in one-dimensional quantum chains to the formulation of D-branes in string theory.…

High Energy Physics - Theory · Physics 2021-12-08 Scott Collier , Dalimil Mazac , Yifan Wang

Dirichlet-branes have emerged as important objects in studying nonperturbative string theory. It is important to generalize these objects to more general backgrounds other than the usual flat background. The simplest case is the linear…

High Energy Physics - Theory · Physics 2009-10-28 Miao Li