Exact results for an STU-model

Journal of High Energy Physics

G. L. Cardoso¹  B. de Wit²  S. Mahapatra³ 

[1] Center for Mathematical Analysis, Geometry and Dynamical Systems, Department of Mathematics, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001, Lisboa, Portugal;Nikhef, Science Park 105, 1098 XG, Amsterdam, The Netherlands;Institute for Theoretical Physics, Utrecht University, Princetonplein 5, 3584 CC, Utrecht, The Netherlands;Physics Department, Utkal University, 751 004, Bhubaneswar, India;

关键词: Extended Supersymmetry;    Supersymmetric Effective Theories;    Supersymmetry and Duality;    Topological Strings;   

DOI  :  10.1007/JHEP02(2020)127

来源: Springer

【 摘 要 】

The duality symmetries of the STU-model of Sen and Vafa are very restrictive. This is utilized to determine the holomorphic function that encodes its two-derivative Wilsonian effective action and its couplings to the square of the Weyl tensor to fifth order in perturbation theory. At fifth order some ambiguities remain which are expected to resolve themselves when proceeding to the next order. Subsequently, a corresponding topological string partition function is studied in an expansion in terms of independent invariants of S, T and U, with coefficient functions that depend on an effective duality invariant coupling constant u, which is defined on a Riemann surface ℂ. The coefficient function of the invariant that is independent of S, T and U is determined to all orders by resummation. The other functions can be solved as well, either algebraically or by solving differential equations whose solutions have ambiguities associated with integration constants. This determination of the topological string partition function, while interesting in its own right, reveals new qualitative features in the result for the Wilsonian action, which would be difficult to appreciate otherwise. It is demonstrated how eventually the various ambiguities are eliminated by comparing the results for the effective action and the topological string. While we only demonstrate this for the leading terms, we conjecture that this will hold in general for this model.

【 授权许可】

CC BY