2014/06/30 by Hiroshi Isono · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Duality (order theory) #Gauge (firearms) #Gauge anomaly #Gauge boson #Gauge fixing #Gauge theory #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Seiberg duality #Spacetime #Spacetime topology #Supersymmetric gauge theory #Theoretical physics #hep-th #math-ph #math.MP
paper · pdf · doi:10.1093/ptep/ptu120
6 pages. No figure. v2: minor typos corrected
arxiv created 2014/08/05 · openalex publication_date 2014/09/18 · arxiv updated 2016/06/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show the derivation of the self-duality relation of abelian higher-form gauge field strength in the topologically nontrivial spacetime background. The so-called Pasti–Sorokin–Tonin action for the self-dual abelian gauge field assumes that the spacetime topology is trivial to derive the self-duality relation using a gauge transformation of the action. In this paper we find a new gauge transformation of the same theory and show that this new gauge transformation enables us to derive the self-duality relation even in the topologically nontrivial spacetime background.