김희연 교수

We compute the supersymmetric partition function of $$ \mathcal{N} $$ = 1 supersymmetric gauge theories with an R-symmetry on $$ {\mathrm{\mathcal{M}}}_4\cong {\mathrm{\mathcal{M}}}_{g,p}\times {S}^1 $$ , a principal elliptic fiber bundle of degree p over a genus-g Riemann surface, Σ g . Equivalently, we compute the generalized supersymmetric index $$ {I_{\mathrm{\mathcal{M}}}}_{{}_{g,p}} $$ , with the supersymmetric three-manifold $$ {\mathrm{\mathcal{M}}}_{g,p} $$ as the spatial slice. The ord

A bstract We explore the geometric interpretation of the twisted index of 3d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 gauge theories on S 1 × Σ where Σ is a closed Riemann surface. We focus on a rich class of supersymmetric quiver gauge theories that have isolated vacua under generic mass and FI parameter deformations. We show that the path integral localises to a moduli space of solutions to generalised vortex equations on Σ,

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 observe that the Gamma class makes a prominent appearance as in the recent D-brane counterpart. We also repeat the comp

A simple, rapid and sensitive fluorescence high performance liquid chromatographic method was developed to determine propranolol concentration in the small volume of rat plasma without the solvent extraction step using pronethanol as the internal standard. The analysis was accomplished using a 5 microm CAPCELL PAK analytical cyano column at room temperature and a mobile phase consisted of 1% aqueous acetic acid containing 0.2% triethylamine and acetonitrile (65:35, v/v; pH 3.8). The flow-rate wa

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 quiver. We delineate this complex pattern for triangle quivers and show how the Witten indices are preserved under su

A bstract We propose a general strategy to build three-dimensional gauge theories with four supercharges which enjoy a supersymmetry enhancement in the IR. The resulting IR SCFTs admit topological twists with particularly nice properties, as well as boundary rational chiral algebras such that the associated Modular Tensor Categories are controlled by the topological twist. The theories arise from a twisted circle compactification of four-dimensional theories of Argyres-Douglas type. We develop a

We explore vacuum degeneracy of Kronecker quiver with large ranks, by computing Witten index of corresponding 1d gauged linear sigma model. For (d − 1, d) k quivers with the intersection number k, we actually counted index of its mutation equivalent, (d, (k − 1)d + 1) k , and find exponentially large behaviour whenever k ≥ 3. We close with speculation on more general ranks of Kronecker quiver including the nonprimitive cases.

인삼 및 인삼 유래 물질들은 가장 대표적인 건강기능식품이며, 홍삼추출물(Panax ginseng C.A. Meyer)의 경우 항바이러스, 알레르기 감소, 항산화, 비만억제 등의 효과를 나타낸다고 알려져 있다. 대표적 건강기능식품임에도 불구하고 약물상호작용을 일으키는 대사효소(Cytochrome P450, CYP)에 대한 홍삼추출물의 영향은 보고되지 않았다. 본 연구에서는 사람의 간 마이크로좀 분획과 마우스 모델을 기반으로 홍삼엑기스의 약물대사 조절능을 평가하였다. 사람의 간 마이크로좀에서는 CYP2B6에 대한 미약한 억제 효과를 나타내었을 뿐, 타 대사효소 CYP1A2, 2B6, 2C19, 2D6와 3A에 대한 억제효과는 검출되지 않았다. 홍삼엑기스를 마우스에 50, 250, or 500 mg/kg의 농도로 3, 7, 14일간 하루 1회 경구 투여 후 간을 적출하여 대사효소의 활성 변화를 측정하였지만, 유의적인 변화는 관찰되지 않았다. 결과적으로 홍삼엑기스의 유의적인 약물대사효소에

A bstract Vertex operator algebras (VOAs) arise in protected subsectors of supersymmetric quantum field theories, notably in 4d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 superconformal field theories (SCFT) via the Schur sector and in twisted 3d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 theories via boundary algebras. These constructions are connected through

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