World-volume action for fractional branes

Merlatti, Paolo; Sabella, G.

doi:10.1016/s0550-3213(01)00112-2

Cited by 15 publications

(19 citation statements)

References 30 publications

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“…The structure of the boundary action S boundary is confirmed also by explicit calculations of closed string scattering amplitudes on a disk with appropriate boundary conditions [24]. As explained in ref.…”

Section: Jhep02(2001)014supporting

confidence: 62%

Fractional D-branes and their gauge duals

Bertolini¹,

Vecchia²,

Marotta³

et al. 2001

J. High Energy Phys.

121

289

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We study the classical geometry associated to fractional D3-branes of type IIB string theory on IR 4 /Z 2 which provide the gravitational dual for N = 2 super Yang-Mills theory in four dimensions. As one can expect from the lack of conformal invariance on the gauge theory side, the gravitational background displays a repulson-like singularity. It turns out however, that such singularity can be excised by an enhançon mechanism. The complete knowledge of the classical supergravity solution allows us to identify the coupling constant of the dual gauge theory in terms of the string parameters and to find a logarithmic running that is governed precisely by the β function of the N = 2 super Yang-Mills theory. 1 Work partially supported by the European Commission RTN programme HPRN-CT-2000-00131 and by MURST.Contents 1 Introduction 1 2 The geometry of fractional D3-branes 2 3 The enhançon and the dual gauge theory 10

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Section: Jhep02(2001)014supporting

confidence: 62%

Fractional D-branes and their gauge duals

Bertolini¹,

Vecchia²,

Marotta³

et al. 2001

J. High Energy Phys.

121

289

View full text Add to dashboard Cite

show abstract

“…In the case of a fractional Dp-brane with no world-volume directions along the orbifold, we finally get the following boundary action for a fractional brane of type 1 [30]:…”

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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“…The first contribution would arise by a source term for C 4 in Eq. (25), localized on the fractional branes and due to the orbifold background values Eq. (4) of the twisted fields.…”

Section: Classical Supergravity Solutionmentioning

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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World-volume action for fractional branes

Cited by 15 publications

References 30 publications

Fractional D-branes and their gauge duals

Fractional D-branes and their gauge duals

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

Classical geometry and gauge duals for fractional branes on ALE orbifolds

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