D-brane actions on Kähler manifolds

Douglas, Michael R.; Kato, Atsushi; Ooguri, Hirosi

doi:10.4310/atmp.1997.v1.n2.a3

Cited by 52 publications

(62 citation statements)

References 11 publications

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“…We have also checked that for an (anti-)self-dual field strength, these additional terms vanish and, then, the effective action reduces to the linear Yang-Mills action. This situation seems somewhat similar to the problem studied by Douglas, Kato and Ooguri [11] where they demonstrate the necessity to add commutators terms to the symmetrized trace in their D-Kähler potential (at sixth order) to reproduce the mass-shell conditions.…”

mentioning

confidence: 86%

On the Non-Abelian Born-Infeld Action

Bain

2001

Progress in String Theory and M-Theory

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We discuss some aspects of the generalization of the Born-Infeld action to non-abelian gauge groups and show how the discrepancy between Tseytlin's symmetrized trace proposal and string theory can be corrected at order F 6 . We also comment on the possible quadratic order fermionic terms.While the talk I gave at the Gong Show session of Cargèse' 99 Summer School was devoted to an outline of the main results of the paper "Curvature terms in D-brane actions and their M-theory origin" [1], this note will be focused on another very interesting but not yet settled aspect of the D-brane effective action : the generalization of the Dirac-Born-Infeld (DBI) action to non-abelian gauge groups.The massless degrees of freedom of an isolated D-brane are its transverse coordinates, a world-volume U (1) gauge field, and the associated fermions [2]. Its effective action contains a Dirac-Born-Infeld (DBI) (see [3] for a recent review of the DBI action) and a Wess-Zumino (WZ) piece. While the WZ part, describing the interactions of the D-brane with Ramond-Ramond field backgrounds, can be determined by anomaly cancellation and is therefore believed to be exact, the DBI piece is only reliable for small space-time curvatures, and in the low-acceleration regime. Indeed, for non constant gauge field strength, the DBI action is corrected by derivative terms [3,4].When N identical D-branes coincide, the transverse coordinates and world-volume gauge fields become N × N unitary matrices. The nonabelian generalization of the DBI action describing this dynamics has * LPTENS-99/34

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confidence: 86%

On the Non-Abelian Born-Infeld Action

Bain

2001

Progress in String Theory and M-Theory

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“…Several recent works [14,15,16,17,18,20] have reported disagreements between finite N calculations in gauge theory and supergravity. There is no contradiction between these results and ours because we are dealing with the large N limit.…”

Section: Discussionmentioning

confidence: 99%

Gauge theory, geometry and the large-N limit

Balasubramanian¹,

Gopakumar²,

Larsen³

1998

Nuclear Physics B

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We study the relationship between M theory on a nearly lightlike circle and U (N ) gauge theory in p + 1 dimensions. We define large N limits of these theories in which low energy supergravity is valid. The regularity of these limits implies an infinite series of nonrenormalization theorems for the gauge theory effective action, and the leading large N terms sum to a Born-Infeld form. Compatibility of two different large N limits that describe the same decompactified M theory leads to a conjecture for a relation between two limits of string theories.

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“…This dynamics follows the axions of D-geometry as described by Douglas, Kato and Ooguri [17]. Basically, away from the singularity at the origin, one has an effective dynamics that is locally equivalent (on V ) to N = 4 SYM, so that the previous insights can be applied.…”

Section: Other N = 1 Superconformal Field Theoriesmentioning

confidence: 98%