On brane symmetries (original) (raw)

A Gauged Open 2-Brane String in thep-Brane Background

Advances in High Energy Physics, 2016

We make a gauge theory from the Openp-brane system and map it into the Open 2-Brane one. Due to the presence of second-class constraints in this model, we encounter some problems during the procedure of quantization. In this regard, considering boundary conditions as Dirac conditions, one can drive the constrained structure of the model at first. Then, with the help of BFT formalism of constraint systems, the Open 2-Brane model is embedded into an extended phase space. For this purpose, we introduce some tensor fields to convert ungauged theory into the gauged one. This is the novel part of our research, while mostly scalar and vector fields are used to convert second-class constraints into first ones.

Strings, p-Branes and Dp-Branes With Dynamical Tension

We discuss a new class of brane models (extending both p-brane and Dp-brane cases) where the brane tension appears as an additional dynamical degree of freedom instead of being put in by hand as an ad hoc dimensionfull scale. Consistency of dynamics naturally involves the appearence of additional higher-rank antisymmetric tensor gauge fields on the world-volume which can couple to charged lower-dimensional branes living on the original Dp-brane world-volume. The dynamical tension has the physical meaning of electric-type field strength of the additional higher-rank world-volume gauge fields. It obeys Maxwell (or Yang-Mills) equations of motion (in the string case p=1) or their higher-rank gauge theory analogues (in the Dp-brane case). This in particular triggers a simple classical mechanism of ("color") charge confinement.

Strings, p-Branes and Dp-Branes With Dynamical Tension ”. hep-th/0304269 62

1993

We discuss a new class of brane models (extending both p-brane and Dp-brane cases) where the brane tension appears as an additional dynamical degree of freedom instead of being put in by hand as an ad hoc dimensionfull scale. Consistency of dynamics naturally involves the appearence of additional higher-rank antisymmetric tensor gauge fields on the world-volume which can couple to charged lowerdimensional branes living on the original Dp-brane world-volume. The dynamical tension has the physical meaning of electric-type field strength of the additional higher-rank world-volume gauge fields. It obeys Maxwell (or Yang-Mills) equations of motion (in the string case p = 1) or their higher-rank gauge theory analogues (in the Dp-brane case). This in particular triggers a simple classical mechanism of (“color”) charge confinement. L1,2 = e αφ [ MP − 1 R(g,Γ) − 1 g µν] ∂µφ∂νφ + (Higgs) + (fermions). (3) 1

On a Unified Theory of Generalized Branes Coupled to Gauge Fields, Including the Gravitational and Kalb–Ramond Fields

Foundations of Physics, 2007

We investigate a theory in which fundamental objects are branes described in terms of higher grade coordinates X µ 1 ...µn encoding both the motion of a brane as a whole, and its volume evolution. We thus formulate a dynamics which generalizes the dynamics of the usual branes. Geometrically, coordinates X µ 1 ...µn and associated coordinate frame fields {γ µ 1 ...µn } extend the notion of geometry from spacetime to that of an enlarged space, called Clifford space or C-space. If we start from 4-dimensional spacetime, then the dimension of C-space is 16. The fact that C-space has more than four dimensions suggests that it could serve as a realization of Kaluza-Klein idea. The "extra dimensions" are not just the ordinary extra dimensions, they are related to the volume degrees of freedom, therefore they are physical, and need not be compactified. Gauge fields are due to the metric of Clifford space. It turns out that amongst the latter gauge fields there also exist higher grade, antisymmetric fields of the Kalb-Ramond type, and their non-Abelian generalization. All those fields are naturally coupled to the generalized branes, whose dynamics is given by a generalized Howe-Tucker action in curved C-space. functions X µ 1 ...µ R (ξ A ) depend. In particular, the latter functions can be such that they describe just an ordinary worldsheet, swept by an ordinary brane. But in general, they describe more complicated extended objects, with an extra structure.

Lectures on strings, D-branes and gauge theories

Arxiv preprint hep-th/0003019, 2000

In these lectures we review the basic ideas of perturbative and nonperturbative string theory. On the non-perturbative side we give an introduction to D-branes and string duality. The elementary concepts of non-BPS branes and noncommutative gauge theories are also discussed.

D branes in string theory, II

In these lectures we review the properties of a boosted and rotated boundary state and of a boundary state with an abelian gauge field deriving from it the Dirac-Born-Infeld action and a newly constructed class of classical solutions. We also review the construction of the boundary state for the stable non-BPS state of type I theory corresponding to the perturbative state present at the first excited level of the SO(32) heterotic string and transforming according to the spinor representation of SO(32) (Lectures presented at the YITP Workshop on ``Developments in Superstring and M-theory'', Kyoto, Japan, October 1999).

ON NONLINEARITY OF p-BRANE DYNAMICS

International Journal of Geometric Methods in Modern Physics, 2012

Nonlinear equations of p-branes in D = (2p + 1)-dimensional Minkowski space are discussed. Presented are new exact solutions for a set of spinning p-branes with the Abelian symmetries U(1) × U(1) × ⋯ ×U(1) of their shapes.

D branes in string theory, 1

1999

In these lectures we present a detailed description of the origin and of the construction of the boundary state that is now widely used for studying the properties of D branes. (Lectures given at NATO-ASI on "Quantum Geometry" in Akureyri, Iceland, August 1999)

Generalized Gauge Field Approach To Lightlike Branes

2007

We propose a general action describing the dynamics of lightlike (LL) p-branes in any odd (p + 1) world-volume dimensions. Next, we consider self-consistent coupling of LL-membranes (p = 2) to D = 4 Einstein-Maxwell system plus a D = 4 three-index antisymmetric tensor gauge field. The LL-brane serves as a material and charge source for gravity and electromagnetism and, furthermore, it produces a dynamical space-varying cosmological constant. We present static spherically-symmetric solutions where the space-time consists of two regions with different black-hole-type geometries and different values for dynamically generated cosmological constant, separated by the LLbrane which "straddles" their common event horizon.

p-brane solutions in diverse dimensions

Physical Review D, 1997

A generic Lagrangian, in arbitrary spacetime dimension, describing the interaction of a graviton, a dilaton and two antisymmetric tensors is considered. An isotropic p-brane solution consisting of three blocks and depending on four parameters in the Lagrangian and two arbitrary harmonic functions is obtained. For specific values of parameters in the Lagrangian the solution may be identified with previously known superstring solutions.