18 citations · 33 across the 6 of their papers we have counts for
7 papers · 1 filter
Vacuum structure of a scalar field on a torus with uniform magnetic flux
Mayumi Akamatsu, Hiroki Imai, Makoto Sakamoto +1
We investigate the vacuum expectation value of a complex scalar field on a two-dimensional torus with quantized magnetic flux . A characteristic feature of this system is the em…
Modular weights of wave functions on magnetized torus
Tim Jeric, Tatsuo Kobayashi, Hajime Otsuka +2
We study the origin of modular weights of wave functions in magnetized models. It is explicitly demonstrated that the modular weights of the wave functions on magnetized $T…
Upper bound on the Atiyah-Singer index from tadpole cancellation
Keiya Ishiguro, Takafumi Kai, Satsuki Nishimura +2
We propose an upper bound on the Atiyah-Singer index in the effective action of string theory. For and heterotic string theories on smooth Calabi-Y…
Three-generation solutions of equations of motion in heterotic supergravity
Maki Takeuchi, Takanao Tsuyuki, Hikaru Uchida
We study the generation number of massless fermions in compactifications recently found in heterotic supergravity. The internal spaces are products of two-dimensional spaces of con…
Zero-mode wave functions by localized gauge fluxes
Tatsuo Kobayashi, Hajime Otsuka, Makoto Sakamoto +3
We study chiral zero-mode wave functions on blow-up manifolds of orbifolds with both bulk and localized magnetic flux backgrounds. We introduce a singular gauge transform…
Index theorem on orbifolds
Makoto Sakamoto, Maki Takeuchi, Yoshiyuki Tatsuta
We investigate chiral zero modes and winding numbers at fixed points on orbifolds. It is shown that the Atiyah-Singer index theorem for the chiral zero modes lea…