Supersymmetric D-brane bound states with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>field and higher dimensional instantons on noncommutative geometry

Ohta, Kazutoshi

doi:10.1103/physrevd.64.046003

Cited by 17 publications

(20 citation statements)

References 30 publications

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“…which one needs D8-anti-D8-branes and the appropriate tachyons analogous to our setup. We can expect that their noncommutative generalizations [53] may follow as in the present paper.…”

Section: Conclusion and Discussionsupporting

confidence: 52%

ADHM is tachyon condensation

Hashimoto

Terashima

2006

J. High Energy Phys.

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We completely realize the ADHM construction of instantons in D-brane language of tachyon condensations. Every step of the construction is given a physical interpretation in string theory, in a boundary state formalism valid all order in α ′ . Accordingly, equivalence between Yang-Mills configurations on D4-branes and D0-branes inside the D4-branes is proven, which shows that small instanton configurations of the Yang-Mills fields are protected against stringy α ′ corrections. We provide also D-brane realizations of the inverse ADHM construction, the completeness, and the noncommutative ADHM construction.

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“…which one needs D8-anti-D8-branes and the appropriate tachyons analogous to our setup. We can expect that their noncommutative generalizations [53] may follow as in the present paper.…”

Section: Conclusion and Discussionsupporting

confidence: 52%

ADHM is tachyon condensation

Hashimoto

Terashima

2006

J. High Energy Phys.

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“…Therefore, the final state will be a BPS bound state, made of D6-branes with dissolved lower dimensional branes. The D0-Dp bound states are discussed recently in [9,10].…”

Section: Introductionmentioning

confidence: 99%

BPS bound states of D6-branes and lower dimensional D-branes

Sato¹

2002

AIP Conference Proceedings

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We construct 1/8, 1/4, and 1/2 BPS solutions spanned by diagonal elements of U(N) constant fluxes in the 6+1 dimensional U(N) super Yang-Mills theory on T 6 with topological stability. These solutions represent BPS bound states of D0, D2, D4, and D6 branes. The consistency with the D-brane charge conservation implies that unstable D0-D2-D6-brane systems in a B field decay to the BPS solutions, in which lower dimensional D-branes are dissolved in D6-branes.

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“…A detailed fluctuation analysis of the kind studied here should allow a more precise description of strong and weak coupling regimes. The flat space limit of our analysis of fluctuations about fuzzy sphere solutions should be related to the work in [59,60].…”

Section: Discussion and Outlookmentioning

confidence: 99%

Noncommutative geometry, quantum effects and DBI-scaling in the collapse of D0-D2 bound states

Papageorgakis

Ramgoolam

Toumbas

2006

J. High Energy Phys.

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We study fluctuations of time-dependent fuzzy two-sphere solutions of the non-abelian DBI action of D0-branes, describing a bound state of a spherical D2-brane with N D0-branes. The quadratic action for small fluctuations is shown to be identical to that obtained from the dual abelian D2-brane DBI action, using the non-commutative geometry of the fuzzy two-sphere. For some of the fields, the linearized equations take the form of solvable Lamé equations. We define a large-N DBI-scaling limit, with vanishing string coupling and string length, and where the gauge theory coupling remains finite. In this limit, the non-linearities of the DBI action survive in both the classical and the quantum context, while massive open string modes and closed strings decouple. We describe a critical radius where strong gauge coupling effects become important. The size of the bound quantum ground state of multiple D0-branes makes an intriguing appearance as the radius of the fuzzy sphere, where the maximal angular momentum quanta become strongly coupled. †

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Supersymmetric D-brane bound states withBfield and higher dimensional instantons on noncommutative geometry

Cited by 17 publications

References 30 publications

ADHM is tachyon condensation

ADHM is tachyon condensation

BPS bound states of D6-branes and lower dimensional D-branes

Noncommutative geometry, quantum effects and DBI-scaling in the collapse of D0-D2 bound states

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