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arXiv · 1702.01749

D-Particles on Orientifolds and Rational Invariants

Seung-Joo Lee·Piljin Yi
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Abstract

We revisit the D0 bound state problems, of the M/IIA duality, with the Orientifolds. The cases of O4 and O8 have been studied recently, from the perspective of five-dimensional theories, while the case of O0 has been much neglected. The computation we perform for D0-O0 states boils down to the Witten indices for $\mathcal N=16$ $O(m)$ and $Sp(n)$ quantum mechanics, where we adapt and extend previous analysis by the authors. The twisted partition function $Ω$, obtained via localization, proves to be rational, and we establish a precise relation between $Ω$ and the integral Witten index $\mathcal I$, by identifying continuum contributions sector by sector. The resulting Witten index shows surprisingly large numbers of threshold bound states but in a manner consistent with M-theory. We close with an exploration on how the ubiquitous rational invariants of the wall-crossing physics would generalize to theories with Orientifolds.

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Seung-Joo Lee, Piljin Yi. 2017-02-06. D-Particles on Orientifolds and Rational Invariants. https://doi.org/10.1007/jhep07(2017)046

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