Quantum string test of nonconformal holography

Chen-Lin, Xinyi; Medina-Rincon, Daniel; Zarembo, Konstantin

doi:10.1007/jhep04(2017)095

Cited by 15 publications

(30 citation statements)

References 41 publications

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“…A natural choice of boundary conditions corresponded to choosing the superposition which is well behaved for σ → 0 since the resulting eigenfunction would be normalizable. Such choice of fermionic boundary conditions lead to perfect agreement with field theory predictions in [14,15,29]. As we will see later, the above prescription for fermionic boundary conditions can be easily applied for the massive operatorsD 1α andD 2α as in these cases l = 1.…”

Section: Evaluation Of Determinantsmentioning

confidence: 71%

Matching quantum string corrections and circular Wilson loops in AdS4 × CP3

Medina-Rincon

2019

J. High Energ. Phys.

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Recent progresses in the computation of quantum string corrections to holographic Wilson loops are extended to the case of strings in AdS 4 × CP 3 . For this, the ratio of 1 2 -BPS circular and 1 6 -BPS latitude fermionic Wilson loops in ABJM is considered at strong coupling by studying the corresponding semiclassical string partition functions. Explicit evaluation of fluctuation determinants using phaseshifts and diffeomorphism invariant regulators leads to exact matching with the recent field theory proposal. Key to this computation is the choice of boundary conditions for massless fermions. In the limit for which the latitude Wilson loop has a trivial expectation value, the long known localization result for the 1 2 -BPS fermionic circular Wilson loop in ABJM is recovered.

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Section: Evaluation Of Determinantsmentioning

confidence: 71%

Matching quantum string corrections and circular Wilson loops in AdS4 × CP3

Medina-Rincon

2019

J. High Energ. Phys.

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“…According to equations (A.13) and (A. 19), we have to consider, at the first significant order in µ,…”

Section: Regularization Of the Sum Over Half-integer Modesmentioning

confidence: 99%

“…The product over one-dimensional determinants was then performed in the zeta-function regularization scheme and it was shown to be in agreement with the gauge theory, up to a normalization factor which was later retrieved in [7]. Such an approach to the quantization of minimal surfaces has paved the way of several complementary lines of research [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Quantum corrections to minimal surfaces with mixed three-form flux

2020

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We obtain the ratio of semiclassical partition functions for the extension under mixed flux of the minimal surfaces subtending a circumference and a line in Euclidean AdS 3 × S 3 × T 4 . We reduce the problem to the computation of a set of functional determinants. If the Ramond-Ramond flux does not vanish, we find that the contribution of the B-field is comprised in the conformal anomaly. In this case, we successively apply the Gel'fand-Yaglom method and the Abel-Plana formula to the flat-measure determinants. To cancel the resultant infrared divergences, we shift the regularization of the sum over half-integers depending on whether it corresponds to massive or massless fermionic modes. We show that the result is compatible with the zeta-function regularization approach. In the limit of pure Neveu-Schwarz-Neveu-Schwarz flux we argue that the computation trivializes. We extend the reasoning to other surfaces with the same behavior in this regime.

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“…It is desirable however to develop techniques from string theory and supergravity which allow us to compute 1/ √ λ corrections to physical observables in the planar N = 2 * SYM theory. Some results in this direction were derived in [7,40] but it is certainly very interesting to study this further since it offers the exciting possibility to connect exact localization calculations for non-conformal gauge theories with string theory corrections to supergravity.…”

Section: Jhep04(2018)148mentioning

confidence: 99%

Precision holography for $$ \mathcal{N}={2}^{\ast } $$ on S4 from type IIB supergravity

Bobev

Gautason

Muiden³

2018

J. High Energ. Phys.

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We find a new supersymmetric solution of type IIB supergravity which is holographically dual to the planar limit of the four-dimensional N = 2 * supersymmetric Yang-Mills theory on S 4 . We study a probe fundamental string in this background which is dual to a supersymmetric Wilson loop in the N = 2 * theory. Using holography we calculate the expectation value of this line operator to leading order in the 't Hooft coupling. The result is a non-trivial function of the mass parameter of the N = 2 * theory that precisely matches the result from supersymmetric localization.

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Quantum string test of nonconformal holography

Cited by 15 publications

References 41 publications

Matching quantum string corrections and circular Wilson loops in AdS4 × CP3

Matching quantum string corrections and circular Wilson loops in AdS4 × CP3

Quantum corrections to minimal surfaces with mixed three-form flux

Precision holography for $$ \mathcal{N}={2}^{\ast } $$ on S4 from type IIB supergravity

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