Superconformal Index on RP2 × S1 and 3D Mirror Symmetry

• Main Author: Tanaka, Akinori (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2016.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Physics.; Algebra.; Field theory (Physics).; Mathematical physics.; Quantum field theory.; String theory.; Quantum Field Theories, String Theory.; Field Theory and Polynomials.; Mathematical Applications in the Physical Sciences.

The author introduces the supersymmetric localization technique, a new approach for computing path integrals in quantum field theory on curved space (time) defined with interacting Lagrangian. The author focuses on a particular quantity called the superconformal index (SCI), which is defined by cons...

Table of Contents:

• Introduction and Summary
• Preliminary — Quantum Mechanics
• Three-dimensional Superconformal index on M2×S1β
• Localization calculous of SCI with M2 = S2
• Localization calculous of SCI with M2 = RP2
• An application: three-dimensional abelian mirror symmetry
• Concluding remarks.