We describe the modern formalism, ideas and applications of the instanton calculus for
gauge theories with, and without, supersymmetry. Particular emphasis is put on developing …

This thesis is designed for a comprehensive review of noncommutative (BPS) solitons with
applications to D-brane dynamics including our works. We focus on noncommutative …

We revisit the exact Seiberg–Witten (SW) map on Dirac–Born–Infeld actions, making a
connection with the deformation quantization scheme. The picture on field dependent …

We find a closed form for Seiberg–Witten (SW) map between ordinary and noncommutative
(NC) Dirac–Born–Infeld actions. We show that NC Maxwell action after the exact SW map …

We review a novel and authentic way to quantize gravity. This novel approach is based on
the fact that Einstein gravity can be formulated in terms of a symplectic geometry rather than …

We employ the twistor approach to the construction of U (2) multi-instantons à la't Hooft on
non-commutative Bbb R 4. The non-commutative deformation of the Corrigan-Fairlie-'t Hooft …

We study in detail the ADHM construction of U (N) instantons on noncommutative Euclidean
space–time R NC 4 and noncommutative space R NC 2× R 2. We point out that the …

arXiv:1111.0015v3 [hep-th] 13 Feb 2012 Page 1 arXiv:1111.0015v3 [hep-th] 13 Feb 2012
Towards A Background Independent Quantum Gravity Hyun Seok Yang Institute for the Early …

We construct new exact BPS solitons in various noncommutative gauge theories by the
“gauge” transformation of known BPS solitons. This “gauge” transformation introduced by …

Abstract We employ the Afiyah-Drinfield-Hitchin-Manin method to derive the moduli space of
two instantons in U (1) gauge theory on a noncommutative space. We show by an explicit …