N = (0,2) deformation of (2,2) sigma models: Geometric structure, holomorphic anomaly, and exact beta functions

作者：Chen Jin^*; Cui Xiaoyi; Shifman Mikhail; Vainshtein Arkady

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2014, 90(4): 045014.

DOI：10.1103/PhysRevD.90.045014

We study N = (0,2) deformed (2, 2) two-dimensional sigma models. Such hete-rotic models were discovered previously on the world sheet of non-Abelian strings supported by certain four-dimensional N 1 theories. We study geometric aspects and holomorphic properties of these models and derive a number of exact expressions for the beta functions in terms of the anomalous dimensions analogous to the NSVZ beta function in four-dimensional gauge theories. Instanton calculus provides a straightforward method for the derivation verified at two loops by explicit calculations. Obtained two-loop anomalous dimensions give an explicit expression for one of the beta functions valid to three loops. The fixed point in the ratio of the couplings found previously at one loop is not shifted at two loops. We also consider the N = (0, 2) supercurrent supermultiplet (the so-called hypercurrent) and its anomalies, as well as the "Konishi anomaly." This gives us another method for finding exact beta functions. We prove that despite the chiral nature of the models under consideration, quantum loops preserve isometries of the target space.

• 出版日期2014-8-12
• 单位中国科学院理论物理研究所