Counting fermionic zero modes on M5 with fluxes
نویسندگان
چکیده
We study the Dirac equation on an M5 brane wrapped on a divisor in a Calabi–Yau fourfold in the presence of background flux. We reduce the computation of the normal bundle U(1) anomaly to counting the solutions of a finite–dimensional linear system on cohomology. This system depends on the choice of flux. In an example, we find that the presence of flux changes the anomaly and allows instanton corrections to the superpotential which would otherwise be absent. e-mails: [email protected], [email protected], [email protected]
منابع مشابه
Lifting D-Instanton Zero Modes by Recombination and Background Fluxes
We study the conditions under which D-brane instantons in Type II orientifold compactifications generate a non-perturbative superpotential. If the instanton is non-invariant under the orientifold action, it carries four instead of the two Goldstone fermions required for superpotential contributions. Unless these are lifted, the instanton can at best generate higher fermionic F-terms of Beasley-...
متن کاملZero modes on cosmic string loops
We study the spectrum of fermionic modes on cosmic string loops. We find no fermionic zero modes nor massive bound states — this implies that vortons stabilized by fermionic currents do not exist. We have also studied kink-(anti)kink and vortex-(anti)vortex systems and find that all systems that have vanishing net topological charge do not support fermionic bound modes.
متن کاملQuantum vacua: Momentum space topology of fermion zero modes
Quantum vacua are characterized by the topological structure of their fermion zero modes. The vacua are distributed into universality classes protected by topology in momentum space. The vacua whose manifold of fermion zero modes has co-dimension 3 are of special interest because in the low-energy corner the fermionic excitations become the Weyl relativistic chiral fermions, while the dynamical...
متن کاملZero Modes and the Atiyah-Singer Index in Noncommutative Instantons
We study the bosonic and fermionic zero modes in noncommutative instanton backgrounds based on the ADHM construction. In k instanton background in U(N) gauge theory, we show how to explicitly construct 4Nk (2Nk) bosonic (fermionic) zero modes in the adjoint representation and 2k (k) bosonic (fermionic) zero modes in the fundamental representation from the ADHM construction. The number of fermio...
متن کاملZero-Modes and Atiyah-Singer Index in Noncommutative Instantons
We study the bosonic and fermionic zero-modes in noncommutative instanton backgrounds based on the ADHM construction. In k instanton background in U(N) gauge theory, we show how to explicitly construct 4Nk (2Nk) bosonic (fermionic) zero-modes in the adjoint representation and 2k (k) bosonic (fermionic) zero-modes in the fundamental representation from the ADHM construction. The number of fermio...
متن کامل