The String Geometry Behind Topological Amplitudes

Carlo Angelantonj , Ignatios Antoniadis (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

It is shown that the generating function of $ \mathcal{N} $ = 2 topological strings, in the heterotic weak coupling limit, is identified with the partition function of a six-dimensional Melvin background. This background, which corresponds to an exact CFT, realises in string theory the six-dimensional Ω-background of Nekrasov, in the case of opposite deformation parameters ϵ$_{l}$ = −ϵ$_{2}$, thus providing the known perturbative part of the Nekrasov partition function in the field theory limit. The analysis is performed on both heterotic and type I strings and for the cases of ordinary $ \mathcal{N} $ = 2 and $ \mathcal{N} $ = 2* theories.

Mots clés: Superstrings and Heterotic Strings; Supersymmetric Gauge Theory; Topological Strings; dimension: 6; string: topological; background: Melvin; field theory: conformal; partition function; heterotic; weak coupling; string model; deformation; geometry

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Carlo Angelantonj, Ignatios Antoniadis. The String Geometry Behind Topological Amplitudes. Journal of High Energy Physics, 2020, 01, pp.005. ⟨10.1007/JHEP01(2020)005⟩. ⟨hal-02338354⟩