On the Gauge/Gravity Correspondence and the Open/Closed String Duality

Vecchia, P. Di; Liccardo, Antonella; Marotta, Raffaele; Pezzella, Franco

doi:10.1142/s0217751x05024900

Cited by 41 publications

(63 citation statements)

References 70 publications

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“…Specifically, the graph in the lhs of Fig. 1 is a mixed open/closed string diagram obtained by gluing a disk, D k , with k punctures in the interior, to an annulus, Annulus(t), with modulus t. It represents the interaction of closed string states, created at the punctures, with open strings, which end at the appropriate D-brane [6,9] on the hole boundary.…”

Section: Open/closed String Duality Potential Divergences In the Opementioning

confidence: 99%

“…The annulus with modulus t can be mapped by a conformal transformation to a cylinder, Cylinder(τ ), with modulus τ , for a function, τ = f (t), such that τ → ∞ as t → 0 [6,9].…”

Section: Open/closed String Duality Potential Divergences In the Opementioning

confidence: 99%

“…The resulting graph in the rhs of Fig. 1 represents a purely closed-string diagram, describing the interaction of the aforementioned closed-string states, created at the punctures, with an extra closed string, which propagates in the cylinder, and it is annihilated by the appropriate D-brane closed-string state, V 1 |0 , at the cylinder boundary [6,9].…”

Section: Open/closed String Duality Potential Divergences In the Opementioning

confidence: 99%

“…For example, the open/closed duality applies to string theories defined by nontrivial sigma models [3], to string target spaces that may include extra dimensions and curvature [3], and to any D-brane [6,9] or string sector [9] as well, such as the Neveu-Schwarz and Ramond 2 sectors [9], provided that the resulting string theory can be quantized consistently with the 2d world-sheet conformal symmetry, which is the fundamental assumption in the canonical string framework [3,4].…”

Section: Open/closed String Duality Potential Divergences In the Opementioning

confidence: 99%

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Renormalization in large-N QCD is incompatible with open/closed string duality

Bochicchio

2018

Physics Letters B

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Solving by a canonical string theory, of closed strings for the glueballs and open strings for the mesons, the 't Hooft large-N expansion of QCD is a longstanding problem that resisted all the attempts despite the advent of the celebrated gauge/gravity duality in the framework of string theory. We demonstrate that in the canonical string framework such a solution does not actually exist because an inconsistency arises between the renormalization properties of the QCD S matrix at large N , recently worked out in Phys. Rev. D 95, 054010, and the open/closed duality of the would-be string solution. Specifically, the would-be open-string one-loop corrections to the tree glueball amplitudes must be ultraviolet (UV) divergent by the aforementioned renormalization properties, which follow from the QCD asymptotic freedom (AF) and renormalization group. Hence, naively, the inconsistency arises because these amplitudes are dual to tree closed-string diagrams, which are universally believed to be both UV finite -since they are closed-string tree diagrams -and infrared (IR) finite because of the glueball mass gap. In fact, the inconsistency follows from a low-energy theorem of the Novikov-Shifman-Vainshtein-Zakharov (NSVZ) type derived in Phys. Rev. D 95, 054010 that controls the renormalization in QCDlike theories. The aforementioned inconsistency extends to the would-be canonical string for a vast class of 't Hooft large-N confining asymptotically free QCD-like theories including N = 1 SUSY QCD. We also demonstrate that the presently existing SUSY string models with a mass gap based on the gauge/gravity dualitysuch as Klebanov-Strassler, Polchinski-Strassler (PS) and certain PS variants -cannot contradict the above-mentioned results, not even potentially, since they are not asymptotically free. Moreover, we shed light on the way the open/closed string duality may be perturbatively realized in these string models compatibly with a mass gap in the 't Hooft-planar closed-string sector and the aforementioned low-energy theorem because of the lack of AF. Finally, we suggest a noncanonical way-out for asymptotically free QCD-like theories based on topological strings on noncommutative twistor space.

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Section: Open/closed String Duality Potential Divergences In the Opementioning

confidence: 99%

“…The annulus with modulus t can be mapped by a conformal transformation to a cylinder, Cylinder(τ ), with modulus τ , for a function, τ = f (t), such that τ → ∞ as t → 0 [6,9].…”

Section: Open/closed String Duality Potential Divergences In the Opementioning

confidence: 99%

Section: Open/closed String Duality Potential Divergences In the Opementioning

confidence: 99%

Section: Open/closed String Duality Potential Divergences In the Opementioning

confidence: 99%

See 2 more Smart Citations

Renormalization in large-N QCD is incompatible with open/closed string duality

Bochicchio

2018

Physics Letters B

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“…(1.1), which is most suitable for perturbative computations, -Eq. (1.3) for n = 2 and O k = Tr F 2 -has been employed to analyze the renormalization properties of QCD-like theories perturbatively to the order of g 2 in [3] and the way the open/closed string duality [4,5] may be actually implemented [3] in string theories realizing perturbatively [5] QCD-like theories.…”

Section: Physics Motivationsmentioning

confidence: 99%

OPE and a low-energy theorem in QCD-like theories

Becchetti

Bochicchio

2019

J. High Energ. Phys.

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We verify, both perturbatively and nonperturbatively asymptotically in the ultraviolet (UV), a special case of a low-energy theorem of the NSVZ type in QCD-like theories, recently derived in Phys. Rev. D 95 (2017) 054010, that relates the logarithmic derivative with respect to the gauge coupling, or the logarithmic derivative with respect to the renormalization-group (RG) invariant scale, of an npoint correlator of local operators in one side to an n + 1-point correlator with the insertion of Tr F 2 at zero momentum in the other side. Our computation involves the operator product expansion (OPE) of the scalar glueball operator, Tr F 2 , in massless QCD, worked out perturbatively in JHEP 1212 (2012) 119 -and in its RG-improved form in the present paper -by means of which we extract both the perturbative divergences and the nonperturbative UV asymptotics in both sides. We also discuss the role of the contact terms in the OPE, both finite and divergent, discovered some years ago in JHEP 1212 (2012) 119, in relation to the low-energy theorem. Besides, working the other way around by assuming the low-energy theorem for any 2-point correlator of a multiplicatively renormalizable gauge-invariant operator, we compute in a massless QCD-like theory the corresponding perturbative OPE to the order of g 2 and nonperturbative asymptotics. The low-energy theorem has a number of applications: to the renormalization in asymptotically free QCD-like theories, both perturbatively and nonperturbatively in the large-N 't Hooft and Veneziano expansions, and to the way the open/closed string duality may or may not be realized in the would-be solution by canonical string theories for QCD-like theories, both perturbatively and in the 't Hooft large-N expansion. Our computations will also enter further developments based on the low-energy theorem. (S) 1 (Eq. (3.6)) [11], which arises from performing the OPE in Eq. (1.3), that has been skipped in [3].Moreover, we extend the perturbative computation in [3] to the order of g 4 in Subsec. 4.2, including as well the divergent contact term to the order of g 4 in 1 We define in App. A what we mean by the universal UV asymptotics.-4 -

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Open and closed string vertices for branes with magnetic field and T-duality

Pesando

2010

J. High Energ. Phys.

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We discuss carefully the vertices which describe the dipole open strings and closed strings on a D-brane with magnetic flux on a torus. Translation invariance along closed cycles forces surprisingly closed string vertices written in open string formalism to acquire Chan-Paton like matrices. Moreover the one loop amplitudes have a single trace for the part of gauge group with the magnetic flux. These peculiarities are also required by consistency of the action of T-duality in the open string sector. In this way we can show to all orders in perturbation theory the equivalence of the T-dual open string theories, gravitational interactions included.We provide also a new and direct derivation of the bosonic boundary state in presence of constant magnetic and Kalb-Ramond background based on Sciuto-Della Selva-Saito vertex formalism.

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On the Gauge/Gravity Correspondence and the Open/Closed String Duality

Cited by 41 publications

References 70 publications

Renormalization in large-N QCD is incompatible with open/closed string duality

Renormalization in large-N QCD is incompatible with open/closed string duality

OPE and a low-energy theorem in QCD-like theories

Open and closed string vertices for branes with magnetic field and T-duality

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