2002/01/01 by Duiliu-Emanuel Diaconescu, Gregory Moore, Edward Witten · 11 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge boson #Gauge fixing #Gauge theory #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum gauge theory #Theoretical physics #Yang–Mills theory
paper · pdf · doi:10.4310/atmp.2002.v6.n6.a2
openalex publication_date 2002/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The partition function of Ramond-Ramond p-form fields in Type IIA supergravity on a ten-manifold X contains subtle phase factors that are associated with T-duality, self-duality, and the relation of the RR fields to K-theory. The analogous partition function of M-theory on X x S 1 contains subtle phases that are similarly associated with E% gauge theory. We analyze the detailed phase factors on the two sides and show that they agree, thereby testing M-theory/Type IIA duality as well as the Jf-theory formalism in an interesting way. We also show that certain .D-brane states wrapped on nontrivial homology cycles are actually unstable, that (-1) FL symmetry in Type IIA superstring theory depends in general on a cancellation between a fermion anomaly and an anomaly of RR fields, and that Type IIA superstring theory with no wrapped branes is well-defined only on a spacetime with W*? = 0.