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Search: authors:"Piljin Yi"

9 papers found.
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D-particles on orientifolds and rational invariants

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 ...

Twisted partition functions and H-saddles

While studying supersymmetric G-gauge theories, one often observes that a zero-radius limit of the twisted partition function Ω G is computed by the partition function \( {\mathcal{Z}}^G \) in one less dimensions. We show how this type of identification fails generically due to integrations over Wilson lines. Tracing the problem, physically, to saddles with reduced effective ...

Fundamental vortices, wall-crossing, and particle-vortex duality

We explore 1d vortex dynamics of 3d supersymmetric Yang-Mills theories, as inferred from factorization of exact partition functions. Under Seiberg-like dualities, the 3d partition function must remain invariant, yet it is not a priori clear what should happen to the vortex dynamics. We observe that the 1d quivers for the vortices remain the same, and the net effect of the 3d ...

Witten index for noncompact dynamics

Among gauged dynamics motivated by string theory, we find many with gapless asymptotic directions. Although the natural boundary condition for ground states is L 2, one often turns on chemical potentials or supersymmetric mass terms to regulate the infrared issues, instead, and computes the twisted partition function. We point out how this procedure generically fails to capture ...

Mutation, Witten index, and quiver invariant

We explore Seiberg-like dualities, or mutations, for \( \mathcal{N}=4 \) quiver quantum mechanics in the context of wall-crossing. In contrast to higher dimensions, the 1d Seiberg-duality must be performed with much care. With fixed Fayet-Iliopoulos constants, at most two nodes can be mutated, one left and the other right, mapping a chamber of a quiver into a chamber of a mutated ...

Witten index and wall crossing

We compute the Witten index of one-dimensional gauged linear sigma models with at least \( \mathcal{N} \) = 2 supersymmetry. In the phase where the gauge group is broken to a finite group, the index is expressed as a certain residue integral. It is subject to a change as the Fayet-Iliopoulos parameter is varied through the phase boundaries. The wall crossing formula is expressed as ...

Exact partition functions on \( \mathbb{R}{{\mathbb{P}}^2} \) and orientifolds

We consider gauged linear sigma models (GLSM) on \( \mathbb{R}{{\mathbb{P}}^2} \), obtained from a parity projection of S 2. The theories admit squashing deformation, much like GLSM on S 2, which allows us to interpret the partition function as the overlap amplitude between the vacuum state and crosscap states. From these, we extract the central charge of Orientifold planes, and ...

Abelianization of BPS quivers and the refined Higgs index

We count Higgs “phase” BPS states of general non-Abelian quiver, possibly with loops, by mapping the problem to its Abelian, or toric, counterpart and imposing Weyl invariance later. Precise Higgs index computation is particularly important for quivers with superpotentials; the Coulomb “phase” index is recently shown to miss important BPS states, dubbed intrinsic Higgs states or ...

A matrix model for baryons and nuclear forces

We propose a new matrix model describing multi-baryon systems. We derive the action from open string theory on the wrapped baryon vertex D-branes embedded in the D4-D8 model of large N c holographic QCD. The positions of k baryons are unified into k × k matrices, with spin/isospin of the baryons encoded in a set of k-vectors. Holographic baryons are known to be very small in the ...