Chiral primary one-point functions in the D3-D7 defect conformal field theory

Charlotte Fløe Kristjansen; Gordon Walter Semenoff; Donovan Michael Young

doi:10.1007/jhep01(2013)117

Chiral primary one-point functions in the D3-D7 defect conformal field theory

Charlotte Fløe Kristjansen, Gordon Walter Semenoff, Donovan Michael Young

Theoretical high energy, astroparticle and gravitational physics

28 Citations (Scopus)

Abstract

We compute the one-point functions of chiral primary operators in the non-supersymmetric defect conformal field theory that is dual to the IIB string theory on AdS₅ × S ⁵ background with a probe D7 brane with internal gauge field flux, both in perturbative Yang-Mills theory and in the string theory dual. The former is expected to be accurate at weak coupling whereas the latter should be accurate in the planar strong coupling limit of the gauge theory. We consider the distinct cases where the D7 brane has geometry AdS₄ × S ⁴ with an instanton bundle of the worldvolume gauge fields on S ⁴ and AdS₄ × S ² × S ² with Dirac monopole bundles on each S ². The gauge theory computation and the string theory computation can be compared directly in the planar limit and then a subsequent limit where the worldvolume flux is large. We find that there is exact agreement between the two in the leading order.

Original language	English
Article number	117
Journal	Journal of High Energy Physics (Online)
Volume	2013
Issue number	1
ISSN	1126-6708
DOIs	https://doi.org/10.1007/jhep01(2013)117
Publication status	Published - 1 Jan 2013

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title = "Chiral primary one-point functions in the D3-D7 defect conformal field theory",

abstract = "We compute the one-point functions of chiral primary operators in the non-supersymmetric defect conformal field theory that is dual to the IIB string theory on AdS5 × S 5 background with a probe D7 brane with internal gauge field flux, both in perturbative Yang-Mills theory and in the string theory dual. The former is expected to be accurate at weak coupling whereas the latter should be accurate in the planar strong coupling limit of the gauge theory. We consider the distinct cases where the D7 brane has geometry AdS4 × S 4 with an instanton bundle of the worldvolume gauge fields on S 4 and AdS4 × S 2 × S 2 with Dirac monopole bundles on each S 2. The gauge theory computation and the string theory computation can be compared directly in the planar limit and then a subsequent limit where the worldvolume flux is large. We find that there is exact agreement between the two in the leading order.",

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T1 - Chiral primary one-point functions in the D3-D7 defect conformal field theory

AU - Kristjansen, Charlotte Fløe

AU - Semenoff, Gordon Walter

AU - Young, Donovan Michael

PY - 2013/1/1

Y1 - 2013/1/1

N2 - We compute the one-point functions of chiral primary operators in the non-supersymmetric defect conformal field theory that is dual to the IIB string theory on AdS5 × S 5 background with a probe D7 brane with internal gauge field flux, both in perturbative Yang-Mills theory and in the string theory dual. The former is expected to be accurate at weak coupling whereas the latter should be accurate in the planar strong coupling limit of the gauge theory. We consider the distinct cases where the D7 brane has geometry AdS4 × S 4 with an instanton bundle of the worldvolume gauge fields on S 4 and AdS4 × S 2 × S 2 with Dirac monopole bundles on each S 2. The gauge theory computation and the string theory computation can be compared directly in the planar limit and then a subsequent limit where the worldvolume flux is large. We find that there is exact agreement between the two in the leading order.

AB - We compute the one-point functions of chiral primary operators in the non-supersymmetric defect conformal field theory that is dual to the IIB string theory on AdS5 × S 5 background with a probe D7 brane with internal gauge field flux, both in perturbative Yang-Mills theory and in the string theory dual. The former is expected to be accurate at weak coupling whereas the latter should be accurate in the planar strong coupling limit of the gauge theory. We consider the distinct cases where the D7 brane has geometry AdS4 × S 4 with an instanton bundle of the worldvolume gauge fields on S 4 and AdS4 × S 2 × S 2 with Dirac monopole bundles on each S 2. The gauge theory computation and the string theory computation can be compared directly in the planar limit and then a subsequent limit where the worldvolume flux is large. We find that there is exact agreement between the two in the leading order.

U2 - 10.1007/jhep01(2013)117

DO - 10.1007/jhep01(2013)117

M3 - Journal article

SN - 1126-6708

VL - 2013

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 1

M1 - 117

ER -

Chiral primary one-point functions in the D3-D7 defect conformal field theory

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