Bound states of D-branes and the non-abelian Born-Infeld action

Brecher, Dominic; Perry, Malcolm J.

doi:10.1016/s0550-3213(98)00297-1

Cited by 104 publications

(94 citation statements)

References 22 publications

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“…We will not reproduce those steps here, as they are similar in spirit to that which we have already done (for a complete discussion, please consult some of the literature. 38,39,43,44 ). The resulting action is:…”

Section: Non-abelian Extensionsmentioning

confidence: 99%

D–Brane Primer

Johnson

2001

Strings, Branes and Gravity

137

250

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Following is a collection of lecture notes on D-branes, which may be used by the reader as preparation for applications to modern research applications such as: the AdS/CFT and other gauge theory/geometry correspondences, Matrix Theory and stringy non-commutative geometry, etc. In attempting to be reasonably self-contained, the notes start from classical point-particles and develop the subject logically (but selectively) through classical strings, quantisation, D-branes, supergravity, superstrings, string duality, including many detailed applications. Selected focus topics feature D-branes as probes of both spacetime and gauge geometry, highlighting the role of world-volume curvature and gauge couplings, with some non-Abelian cases. Other advanced topics which are discussed are the (presently) novel tools of research such as fractional branes, the enhançon mechanism, D(ielectric)-branes and the emergence of the fuzzy/non-commutative sphere. (This is an expanded writeup of lectures given at ICTP, TASI, and BUSSTEPP.)

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Section: Non-abelian Extensionsmentioning

confidence: 99%

D–Brane Primer

Johnson

2001

Strings, Branes and Gravity

137

250

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“…One possibility is to construct DBI monopoles by demanding that the usual Yang-Mills-Higgs BPS relations also hold in the DBI case [6]. This amounts to define a Higgs field Lagrangian in a Born-Infeld-like way (i.e., with the scalar kinetic energy and potential terms also under a square root) in such a way that the model have a supersymmetric extension [4], [23]- [25]. One can then prove that the BPS relations coincide with those arising in the Yang-Mills-Higgs case [12], so that the resulting DBI monopole solutions are identical to the well-honored Prasad-Sommerfield exact solutions and have no specific features resulting from the DBI dynamics.…”

Section: The Actionmentioning

confidence: 99%

Monopoles, dyons, and the theta term in Dirac-Born-Infeld theory

Grandi¹,

Pakman²,

Schaposnik³

et al. 1999

Phys. Rev. D

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We present dyon solutions to an SU (2) Dirac-Born-Infeld (DBI) gauge theory coupled to a Higgs triplet. We consider different non-Abelian extensions of the DBI action and study the resulting solutions numerically, comparing them with the standard Julia-Zee dyons. We discuss the existence of a critical value of β, the Born-Infeld absolute field parameter, below which the solution ceases to exist. We also analyse the effect of modifying the DBI action so as to include the analogous of the θ term, showing that Witten formula for the dyon charge also holds in DBI theories.

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“…There are problems with summing over worldsheet genera in the Dirichlet picture, which could be related to the breaking of the T -duality symmetry from an anomaly in the nonabelian case [15,16]. Modular logarithmic divergences appear in matter field amplitudes when the string propagator L0 is computed with Dirichlet boundary conditions.…”

Section: Low-energy Effective Field Theoriesmentioning

confidence: 99%

“…at SUSY '98, Oxford, England, July [11][12][13][14][15][16][17] 1998, and by n.e.m. at the Corfu Summer Institute 1998: TMR project Physics Beyond the Standard Model, Corfu, Greece, September 15-18, 1998.…”

Section: Acknowledgementsmentioning

confidence: 99%

Logarithmic Conformal Field Theories ...

Mavromatos¹,

Szabo²

1999

Proceedings of Corfu Summer Institute on Elementary Particle Physics — PoS(corfu98)

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A worldsheet approach to the study of non-abelian D-particle dynamics is presented based on viewing matrix-valued D-brane coordinate fields as coupling constants of a deformed σ-model which defines a logarithmic conformal field theory. The short-distance structure of spacetime is shown to be naturally captured by the Zamolodchikov metric on the corresponding moduli space which encodes the geometry of the string interactions between D-particles. Spacetime quantization is induced directly by the string genus expansion and leads to new forms of uncertainty relations which imply that general relativity at very short-distance scales is intrinsically described by a non-commutative geometry. The indeterminancies exhibit decoherence effects suggesting the natural incorporation of quantum gravity by short-distance D-particle probes. Some potential experimental tests are briefly described.

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Bound states of D-branes and the non-abelian Born-Infeld action

Cited by 104 publications

References 22 publications

D–Brane Primer

D–Brane Primer

Monopoles, dyons, and the theta term in Dirac-Born-Infeld theory

Logarithmic Conformal Field Theories ...

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