The geometry of fractional branes

Frau, M.; Liccardo, Antonella; Musto, R.

doi:10.1016/s0550-3213(01)00107-9

Cited by 35 publications

(90 citation statements)

References 28 publications

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“…[28], one can find that in the untwisted sector the Dp-brane emits the graviton h µν 4 , the dilaton φ and the (p+1)-form potential C p+1 . For the case s = 0, as for instance is the case for a fractional D3-brane, the couplings of these fields with the boundary state are explicitly given by [29]:…”

Section: Boundary State Description Of Fractional Branesmentioning

confidence: 99%

${\cal N} = 2$ FOUR-DIMENSIONAL GAUGE THEORIES FROM FRACTIONAL BRANES

Bertolini¹,

Vecchia²,

Marotta³

2002

Multiple Facets of Quantization and Supersymmetry

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This is a pedagogical and extended version of the results published in Refs. [1,2] and presented by the authors in various talks during the last year. We discuss the type II D-branes (both regular and fractional) of the orbifold R 1,5 ⊗ R 4 /Z 2 , we determine their corresponding supergravity solution and show how this can be used to study the properties of N = 2 super YangMills. Supergravity is able to reproduce the perturbative moduli space of the gauge theory, while it does not encode the non-perturbative corrections. The short distance region of space-time, which corresponds to the infrared region of the gauge theory, is excised by an enhançon mechanism, and more states should be included in the low energy effective action in order to enter inside the enhançon and recover the instanton corrections.

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Section: Boundary State Description Of Fractional Branesmentioning

confidence: 99%

${\cal N} = 2$ FOUR-DIMENSIONAL GAUGE THEORIES FROM FRACTIONAL BRANES

Bertolini¹,

Vecchia²,

Marotta³

2002

Multiple Facets of Quantization and Supersymmetry

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show abstract

“…(15), whereas the plus sign describe the case of fractional anti-branes. 9 Our convention is to define 'positive' the charge of a brane if it gives a positive R-R untwisted contribution to the F 5 flux. 10 In writing Eq.…”

Section: Classical Supergravity Solutionmentioning

confidence: 99%

“…In section 2, we review some needed material about the C 2 /Γ-type orbifold of type IIB, the corresponding fractional D3-branes and their world-volume gauge theory. In section 3, we write the corresponding supergravity equation and solve them using an ansatz similar to [6,9]. In section 4, we discuss the relation of the supergravity solution to the gauge theory.…”

Section: Introductionmentioning

confidence: 99%

Classical geometry and gauge duals for fractional branes on ALE orbifolds

2001

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We investigate the classical geometry corresponding to a collection of fractional D3 branes in the orbifold limit C 2 /Γ of an ALE space. We discuss its interpretation in terms of the world-volume gauge theory on the branes, which is in general a non conformal N = 2 Yang-Mills theory with matter. The twisted fields reproduce the perturbative behaviour of the gauge theory. We regulate the IR singularities for both twisted and untwisted fields by means of an enhançon mechanism qualitatively consistent with the gauge theory expectations. The five-form flux decreases logarithmically towards the IR with a coefficient dictated by the gauge theory β-functions.

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“…The bulk action for this theory is still given by (1) suitably compactified [5], but with κ 10 replaced by κ orb = √ 2κ 10 . The orbifold (5) is a singular limit of a smooth K3 surface.…”

Section: The Geometric Approach To the Fractional Dp Brane Actionmentioning

confidence: 99%

“…To do this, we need the string mode fluctuations for canonically normalized fields. In our case they take the form (see also [5]):…”

Section: The Geometric Approach To the Fractional Dp Brane Actionmentioning

confidence: 99%

World-volume action for fractional branes

Merlatti

Sabella

2001

Nuclear Physics B

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We study the world volume action of fractional Dp-branes of type IIA string theory compactified on the orbifold T 4 /Z 2 . The geometric relation between these branes and wrapped branes is investigated using conformal techniques. In particular we examine in detail various scattering amplitudes and find that the leading low-energy interactions are consistent with the boundary action derived geometrically.

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The geometry of fractional branes

Cited by 35 publications

References 28 publications

${\cal N} = 2$ FOUR-DIMENSIONAL GAUGE THEORIES FROM FRACTIONAL BRANES

${\cal N} = 2$ FOUR-DIMENSIONAL GAUGE THEORIES FROM FRACTIONAL BRANES

Classical geometry and gauge duals for fractional branes on ALE orbifolds

World-volume action for fractional branes

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