Wilson loops in $$ \mathcal{N} $$ = 4 SO(N) SYM and D-branes in AdS5 × ℝℙ5

Giombi, Simone; Offertaler, Bendeguz

doi:10.1007/jhep10(2021)016

Cited by 11 publications

(30 citation statements)

References 77 publications

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“…This theory is the SU pN q gauge theory with N " 2 vector multiplet coupled to two hypermultiplets -in rank-2 symmetric and antisymmetric SU pN q representations. 4 This model admits a regular 't Hooft large N expansion and its string theory dual is expected to be a particular orientifold of AdS 5…”

Section: Introductionmentioning

confidence: 99%

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BPS Wilson loop in $\mathcal N=2$ superconformal $SU(N)$ "orientifold" gauge theory and weak-strong coupling interpolation

Beccaria,

Dunne,

Tseytlin

2021

Preprint

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We consider the expectation value xWy of the circular BPS Wilson loop in N " 2 superconformal SU pN q gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. This theory admits a regular large N expansion, is planar-equivalent to N " 4 SYM theory and is expected to be dual to a certain orbifold/orientifold projection of AdS 5 ˆS5 superstring theory. On the string theory side xWy is represented by the path integral expanded near the same AdS 2 minimal surface as in the maximally supersymmetric case. Following the string theory argument in arXiv:2007.08512, we suggest that as in the N " 4 SYM case and in the N " 2 SU pN q ˆSU pN q superconformal quiver theory discussed in arXiv:2102.07696, the coefficient of the leading non-planar 1{N 2 correction in xWy should have the universal λ 3{2 scaling at large 't Hooft coupling. We confirm this prediction by starting with the localization matrix model representation for xWy. We complement the analytic derivation of the λ 3{2 scaling by a numerical high-precision resummation and extrapolation of the weak-coupling expansion using conformal mapping improved Padé analysis.

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Section: Introductionmentioning

confidence: 99%

“…The strong coupling limit of the planar expectation value of a similar Wilson loop in quiver gauge theory with unequal gauge couplings was solved in[21], see also[22,23,24] 4. It is one of the five cases of 4d N " 2 superconformal theories with gauge group SU pN q defined for an arbitrary value of N[25,26].…”

mentioning

confidence: 99%

BPS Wilson loop in $\mathcal N=2$ superconformal $SU(N)$ "orientifold" gauge theory and weak-strong coupling interpolation

Beccaria,

Dunne,

Tseytlin

2021

Preprint

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“…The analog of the strong-coupling expansions in (1. 19),(1.20) is 5 .33) Similar relations between higher order 1{N terms F n in free energy (1.21) and W n in (1.28) are expected also in general, with the dominant large λ term in F n determining the strong coupling asymptotics of W n . In particular, .35) This may be compared with similar exponentiation of the leading large λ terms in the N " 4 SYM case: as one finds from (1.1) in SU pN q case [1] and from (1.29) in the Spp2N q case (see Appendix C)…”

Section: Spp2n Qmentioning

confidence: 53%

“…λ `logpΛrq, suggesting that F " 4a logpΛrq `... Ñ ´2a log λ `.... 9 In the case of the N " 4 SYM theory with the group Spp2N q which may be viewed as an orientifold projection of U p2N q theory and which is dual to type IIB string on AdS5 ˆRP 5 [20] the presence of the O3-plane (carrying RR charge of 1 4 ) leads to the effective shift of N by 1 4 and thus to the expression L 4 " 4πgsp2N `1 2 qα 12 for the AdS radius. As a result, one reproduces both leading N 2 and N terms in the conformal anomaly from the on-shell value of the 10d supergravity action [23,19]. For example, the N " 4 Spp2N q SYM free energy in (1.22) may be written as…”

Section: Comments On Dual String Theory Interpretationmentioning

confidence: 98%

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Strong coupling expansion of free energy and BPS Wilson loop in $\mathcal N=2$ superconformal models with fundamental hypermultiplets

Beccaria,

Dunne,

Tseytlin

2021

Preprint

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As a continuation of the study (in arXiv:2102.07696 and arXiv:2104.12625) of strongcoupling expansion of non-planar corrections in N " 2 4d superconformal models we consider two special theories with gauge groups SU pN q and Spp2N q. They contain N -independent numbers of hypermultiplets in rank 2 antisymmetric and fundamental representations and are planar-equivalent to the corresponding N " 4 SYM theories. These N " 2 theories can be realised on a system of N D3-branes with a finite number of D7-branes and O7-plane; the dual string theories should be particular orientifolds of AdS 5 ˆS5 superstring. Starting with the localization matrix model representation for the N " 2 partition function on S 4 we find exact differential relations between the 1{N terms in the corresponding free energy F and the 1 2 -BPS Wilson loop expectation value xWy and also compute their large 't Hooft coupling (λ " 1) expansions. The structure of these expansions is different from the previously studied models without fundamental hypermultiplets. In the more tractable Spp2N q case we find an exact resummed expression for the leading strong coupling terms at each order in the 1{N expansion. We also determine the exponentially suppressed at large λ contributions to the non-planar corrections to F and xWy and comment on their resurgence properties. We discuss dual string theory interpretation of these strong coupling expansions.

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Exact strong coupling results in $$ \mathcal{N} $$ = 2 Sp(2N) superconformal gauge theory from localization

Beccaria

Korchemsky

Tseytlin

2023

J. High Energ. Phys.

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We apply the localization technique to compute the free energy on four-sphere and the circular BPS Wilson loop in the four-dimensional $$ \mathcal{N} $$ N = ∈ superconformal Sp(2N) gauge theory containing vector multiplet coupled to four hypermultiplets in fundamental representation and one hypermultiplet in rank-2 antisymmetric representation. This theory is unique among similar $$ \mathcal{N} $$ N = ∈ superconformal models that are planar-equivalent to $$ \mathcal{N} $$ N = ∆ SYM in that the corresponding localization matrix model has the interaction potential containing single-trace terms only. We exploit this property to show that, to any order in large N expansion and an arbitrary ’t Hooft coupling λ, the free energy and the Wilson loop satisfy Toda lattice equations. Solving these equations at strong coupling, we find remarkably simple expressions for these observables which include all corrections in 1/N and 1/$$ \sqrt{\lambda } $$ λ . We also compute the leading exponentially suppressed $$ \mathcal{O}\left({e}^{-\sqrt{\lambda }}\right) $$ O e − λ corrections and consider a generalization to the case when the fundamental hypermultiplets have a non-zero mass. The string theory dual of this $$ \mathcal{N} $$ N = ∈ gauge theory should be a particular orientifold of AdS5 × S5 type IIB string and we discuss the string theory interpretation of the obtained strong-coupling results.

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Wilson loops in $$ \mathcal{N} $$ = 4 SO(N) SYM and D-branes in AdS5 × ℝℙ5

Cited by 11 publications

References 77 publications

BPS Wilson loop in $\mathcal N=2$ superconformal $SU(N)$ "orientifold" gauge theory and weak-strong coupling interpolation

BPS Wilson loop in $\mathcal N=2$ superconformal $SU(N)$ "orientifold" gauge theory and weak-strong coupling interpolation

Strong coupling expansion of free energy and BPS Wilson loop in $\mathcal N=2$ superconformal models with fundamental hypermultiplets

Exact strong coupling results in $$ \mathcal{N} $$ = 2 Sp(2N) superconformal gauge theory from localization

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