Non-planar corrections in orbifold/orientifold $\mathcal N=2$ superconformal theories from localization
| Autor: | Beccaria, M., Korchemsky, G., Tseytlin, A. |
|---|---|
| Přispěvatelé: | Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Institut des Hautes Études Scientifiques (IHES), IHES |
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics FOS: Physical sciences quiver multiplet vector localization orientifold Wilson loop conformal multiplet coupling strong coupling string model duality curvature correction SU(N) [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] scaling coupling constant matrix model weak coupling free energy High Energy Physics - Theory (hep-th) effective action string orbifold gauge field theory sphere |
| Zdroj: | Journal of High Energy Physics Journal of High Energy Physics, 2023, 05, pp.165. ⟨10.1007/JHEP05(2023)165⟩ |
| ISSN: | 1126-6708 1029-8479 |
| DOI: | 10.1007/JHEP05(2023)165⟩ |
| Popis: | We study non-planar corrections in two special $\mathcal N=2$ superconformal $SU(N)$ gauge theories that are planar-equivalent to $\mathcal N=4$ SYM theory: two-nodes quiver model with equal couplings and $\mathcal N=2$ vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. We focus on two observables in these theories that admit representation in terms of localization matrix model: free energy on 4-sphere and the expectation value of half-BPS circular Wilson loop. We extend the methods developed in arXiv:2207.11475 to derive a systematical expansion of non-planar corrections to these observables at strong 't Hooft coupling constant $\lambda$. We show that the leading non planar corrections are given by a power series in $\lambda^{3/2}/N^2$ with rational coefficients. Sending $N$ and the coupling constant $\lambda$ to infinity with $\lambda^{3/2}/N^2$ kept fixed corresponds to the familiar double scaling limit in matrix models. We find that in this limit the observables in the two models are related in a remarkably simple way: the free energies differ by the factor of $2$, whereas the Wilson loop expectation values coincide. Surprisingly, these relations hold only at strong coupling, they are not valid in the weak coupling regime. We also discuss a dual string theory interpretation of the leading corrections to the free energy in the double scaling limit suggesting their relation to curvature corrections in type IIB string effective action. Comment: 54 pages. v2: minor clarifications |
| Databáze: | OpenAIRE |
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