2013/02/28 by Min-xin Huang
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.1103/physrevd.87.105010
5 pages. v2: journal version
openalex publication_date 2013/05/14 · arxiv created 2013/05/20 · arxiv updated 2013/05/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the instanton partition functions of two well-known superconformal field theories with mass deformations. Two types of anomaly equations, namely, the modular anomaly and holomorphic anomaly, have been discovered in the literature. We provide a clean solution to the long standing puzzle about their precise relation, and obtain some universal formulas. We show that the partition function is invariant under the SL(2,ℤ) duality which exchanges theories at strong coupling with those of weak coupling.