Non-linearly extended self-dual relations from the Nambu-bracket description of M5-brane in a constant C-field background

The purpose of this paper is to understand the low energy effective theory of a Dp-brane in the background of a large constant R-R (p − 1)-form field. We start with the M5-brane theory in large C-field background. The C-field background defines a 3-dimensional volume form on an M5-brane, and it is known that the low energy M5-brane theory can be described as a Nambu-Poisson gauge theory with the volume-preserving diffeomorphism symmetry (VPD). Via a double dimensional reduction we obtain a D4-brane in R-R 3-form field background. This theory has both the usual U (1) gauge symmetry and the new symmetry of VPD. We find that the gauge potential for VPD is electric-magnetic dual to the U (1) gauge potential, sharing the same physical degrees of freedom. The result can be generalized to Dp-branes.

“…This is also in agreement with the definition of H µνμ defined in [22,23]. By inspection, we can guess the covariant form of F αβ .…”

Section: Covariant Field Strengthssupporting

confidence: 87%

“…Rather they appear when we solve the equations of motion for the rest of the components bμν and b µμ . In [22,23], the components b µν are used to explicitly exhibit the self duality of the gauge field, and their gauge transformation laws are given by…”

Section: Gauge Transformationmentioning

confidence: 99%

D-brane in R-R field background

Yeh

2011

“…12 corresponds to a Wilson surface degree of freedom for the 2-form Λ. It should play the same role as Λ (0) 5 in (9,10). To construct a consistent non-Abelian gauge transformation algebra for the 3-form potential, we only need to consider transformation laws for the parameters ξ (KK) i , Λ ij and Λ (0) 12 .…”

Section: Generalization To 3-form Gauge Potentialmentioning

confidence: 99%

“…The physical origin of the Nambu-Structure is the coupling of open membranes to the C-field background[7] The NP M5-brane theory was first derived from the BLG model[8]. Its gauge field content was further explored in[9,10]. For a brief review, see[11].…”

mentioning

confidence: 99%

A non-abelian self-dual gauge theory in 5 + 1 dimensions

Huang

Matsuo

2011

104

We construct a non-Abelian gauge theory of chiral 2-forms (self-dual gauge fields) in 6 dimensions with a spatial direction compactified on a circle of radius R. It has the following two properties. (1) It reduces to the Yang-Mills theory in 5 dimensions for small R. (2) It is equivalent to the Lorentz-invariant theory of Abelian chiral 2-forms when the gauge group is Abelian. Previous no-go theorems prohibiting nonAbelian deformations of the chiral 2-form gauge theory are circumvented by introducing nonlocality along the compactified dimension.

“…In our formulation of the self dual gauge fields b, the components b µν do not explicitly appear in the action. In [16,17], the components b µν are used to explicitly exhibit the self duality of the gauge field, and their gauge transformation are given by…”

Section: Gauge Transformation Of a αmentioning

confidence: 99%

Supersymmetry and BPS states on D4-brane in large C-field background

Yeh

2013

In this paper, we continue our previous study of the low energy effective theory for D4-brane in the large C-field background. The gauge field part of the effective action was found in an earlier work. In this paper, we focus on the matter field part of the action and the supersymmetry transformation. Moreover, we calculate the central charges of super algebra and extensively study BPS solutions of this effective theory. The BPS states considered in this paper include light-like gauge field configurations, the F1 ending on D4 solution, tilted D4-brane, BPS solution with two types of magnetic charges (D2 ending on D4), holomorphic embedding of D4-brane and the intersection of two D4-branes along a