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In this paper we explicitly show the equivalence between the non-Abelian Born-Infeld action, which was proposed by Tseytlin as an effective action on several D-branes, and its noncommutative counterpart for slowly varying fields. This…

High Energy Physics - Theory · Physics 2009-10-31 Seiji Terashima

We develop a systematic Hamiltonian formulation for a gravitating topological matter system in three-dimensional spacetime, coupling a scalar gauge field and a rank-2 antisymmetric gauge field to Einstein--Cartan gravity. We perform the…

High Energy Physics - Theory · Physics 2026-04-22 Omar Rodríguez-Tzompantzi

We present the general formulation of non-covariant Lagrangian of self-dual gauge theory. After specifying the parameters therein the previous Lagrangian in the decomposition of spacetime into $6=D_1+D_2$ and $6=D_1+D_2+D_3$ can be…

High Energy Physics - Theory · Physics 2015-06-11 Wung-Hong Huang

We examine noncommutative solutions of the nonabelian theory on the world-volume of N coincident D-strings. These solutions can be interpreted in terms of noncommutative geometry as funnels describing the nonabelian D-string expanding out…

High Energy Physics - Theory · Physics 2009-10-31 Neil R. Constable , Robert C. Myers , Oyvind Tafjord

SU(2) Yang-Mills field theory is considered in the framework of the generalized Hamiltonian approach and the equivalent unconstrained system is obtained using the method of Hamiltonian reduction. A canonical transformation to a set of…

High Energy Physics - Theory · Physics 2010-11-19 A. M. Khvedelidze , H. -P. Pavel

We construct the world-volume action for non-BPS D-branes in type II string theories. This action is invariant under all the unbroken supersymmetries in the bulk, but these symmetries are realised as spontaneously broken symmetries in the…

High Energy Physics - Theory · Physics 2009-10-31 Ashoke Sen

A novel Dirac Hamiltonian formulation of the first order Einstein-Hilbert (EH) action, in which algebraic constraints are not solved to eliminate fields from the action at the Lagrangian level, has been shown to lead to an action and a…

General Relativity and Quantum Cosmology · Physics 2009-04-07 R. N. Ghalati

We perform Hamiltonian analysis of non-relativistic non-BPS Dp-brane. We find the constraint structure of this theory and determine corresponding equations of motion. We further discuss property of this theory at the tachyon vacuum.

High Energy Physics - Theory · Physics 2017-08-02 J. Kluson

We point out that when a D-brane is placed in an NS-NS B field background with non-vanishing field strength (H=dB) along the D-brane worldvolume, the coordinate of one end of the open string does not commute with that of the other in the…

High Energy Physics - Theory · Physics 2009-11-07 Kiyoshi Hayasaka , Ryuichi Nakayama

This paper is devoted to the study of the Hamiltonian dynamics of string in non-relativistic D3-brane background. We discuss different gauge fixing functions and construct corresponding gauge fixed Hamiltonians.

High Energy Physics - Theory · Physics 2014-11-20 J. Kluson

The D2brane-anti-D2brane system is described in the framework of BFSS Matrix model and noncommutative (NC) gauge theory. The physical spectrum of fields is found by appropriate gauge fixing. The exact tachyon potential is computed in terms…

High Energy Physics - Theory · Physics 2009-10-31 Gautam Mandal , Spenta R. Wadia

In string theory, D-branes can be expressed as a configuration of infinitely many lower dimensional D-branes. Using this relation, the worldvolume theory of D-branes can be regarded as the worldvolume theory of the infinitely many lower…

High Energy Physics - Theory · Physics 2007-05-23 N. Ishibashi

The utility of the U(1)$^3$ model as a test laboratory for quantum gravity has recently been emphasized in a recent series of papers due to Varadarajan et al. The simplification from SU(2) to U(1)$^3$ can be performed simply by hand within…

General Relativity and Quantum Cosmology · Physics 2021-12-21 Sepideh Bakhoda , Thomas Thiemann

In recent work, we developed a method to construct invertible and non-invertible symmetries of finite-group gauge theories as topological domain walls on the lattice. In the present work, we consider abelian and non-abelian finite-group…

Strongly Correlated Electrons · Physics 2024-12-24 Clay Cordova , Davi B. Costa , Po-Shen Hsin

We show that noncommuting electric fields occur naturally in $\theta$-expanded noncommutative gauge theories. Using this noncommutativity, which is field dependent, and a hamiltonian generalisation of the Seiberg-Witten Map, the algebraic…

High Energy Physics - Theory · Physics 2009-11-07 Rabin Banerjee

The different forms of the Hamiltonian formulations of linearized General Relativity/spin-two theories are discussed in order to show their similarities and differences. It is demonstrated that in the linear model, non-covariant…

General Relativity and Quantum Cosmology · Physics 2011-07-18 K. R. Green , N. Kiriushcheva , S. V. Kuzmin

We show that the massive noncommutative U(1) can be embedded in a gauge theory by using the BFFT Hamiltonian formalism. By virtue of the peculiar non-Abelian algebraic structure of the noncommutative massive U(1) theory, several specific…

High Energy Physics - Theory · Physics 2009-11-07 R. Amorim , J. Barcelos-Neto

Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory. For instance, U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of…

High Energy Physics - Theory · Physics 2009-11-10 S. L. Dubovsky , S. M. Sibiryakov

In any Abelian gauge theory with an action periodic in the link variables one can perform a duality transformation not only in the partition function, but also in correlation functions including Polyakov loops. The calculation of…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Zach , Manfried Faber , Peter Skala

We propose a way to identify the gauge invariant operator in noncommutative gauge theory on a D-brane with nonzero B field which couples to a specific supergravity mode in the bulk. This uses the description of noncommutative gauge theories…

High Energy Physics - Theory · Physics 2007-05-23 Sumit R. Das