5D BPS quivers and KK towers

5D BPS quivers and KK towers

Blog Article

Abstract We explore BPS quivers for D = 5 theories, compactified on a circle and geometrically engineered over local Calabi-Yau 3-folds, for which many Display Console Faceplate of known machineries leading to (refined) indices fail due to the fine-tuning of the superpotential.For Abelian quivers, the counting reduces to a geometric one, but the technically challenging L 2 cohomology proved to be essential for sensible BPS spectra.We offer a mathematical theorem to remedy the difficulty, but for non-Abelian quivers, the cohomology approach itself fails because the relevant wavefunctions are Loop Rolls inherently gauge-theoretical.For the Cartan part of gauge multiplets, which suffers no wall-crossing, we resort to the D0 picture and reconstruct entire KK towers.We also perform numerical checks using a multi-center Coulombic routine, with a simple hypothesis on the quiver invariants, and extend this to electric BPS states in the weak coupling chamber.

We close with a comment on known Donaldson-Thomas invariants and on how L 2 index might be read off from these.