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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Non-abelian Derived Categories and Derived Schur and Weyl Functors
非阿贝尔派生范畴 派生舒尔 外尔函子
2023/4/13
We'll start with reviewing Quillen and Lurie's theory of non-abelian derived categories (also known as the "animation" theory). Following that, we will apply this theory to generalize the classical Sc...
Non-abelian $p$-adic $L$-functions and Eisenstein series of unitary groups; the CM method
Eisenstein series unitary groups the CM method Number Theory
2011/8/26
Abstract: In this work we prove the so-called "torsion congruences" between abelian $p$-adic $L$-functions that are related to automorphic representations of definite unitary groups. These congruences...
Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
Non-Abelian Vortices Supersymmetric Gauge Field Theory High Energy Physics - Theory
2011/7/27
Abstract: Vortices in supersymmetric gauge field theory are important constructs in a basic conceptual phenomenon commonly referred to as the dual Meissner effect which is responsible for color confin...
Quillen bundle and Geometric Prequantization of Non-Abelian Vortices on a Riemann surface
Quillen bundle Geometric Prequantization Non-Abelian Vortices Riemann surface
2011/3/3
In this paper we prequantize the moduli space of non-abelian vortices.We explicitly calculate the symplectic form arising from the L2 metric and we construct a prequantum line bundle whose curvature i...
Perfect nonlinear functions from a finite group G to another one H are those functions f : G → H such that for all nonzero ∈ G, the derivative d f : x 7→f( x)f(x)−1 is balanced.
We use the moduli matrix approach to study the moduli space of 1/4 BPS kinks supported by vortices in the Higgs phase of N = 2 supersymmetric U(N) gauge theories when non-zero masses for the matter hy...
We study pure Yang–Mills theory on × S2, where is a compact Riemann surface, and invariance is assumed under rotations of S2. It is well known that the self-duality equations in this set-up reduce...
Non abelian tensor square of non abelian prime power groups
Tensor square non abelian p-groups
2011/2/22
For every p-group of order pn with the derived subgroup of order pm, Rocco in [7] has shown that the order of tensor square of G is at most pn(n−m). In the present paper not only we improve his ...
Particle with non-Abelian charge: classical and quantum
non-Abelian charge classical quantum
2010/12/23
We construct an action in the worldline formalism for a non-Abelian charged particle in a non-Abelian background field, described by real bosonic variables, leading to a set of the well known classica...
Non abelian Bianchi identities, monopoles and gauge invariance
Non abelian Bianchi identities monopoles gauge invariance
2010/12/24
A direct connection is proved between the Non-Abelian Bianchi Identities and the Abelian Bianchi identities for the 't Hooft tensor in a generic gauge; the existence of a magnetic current is related ...
Scaling and non-Abelian signature in fractional quantum Hall quasiparticle tunneling amplitude
non-Abelian signature quantum Hall quasiparticle tunneling amplitude
2010/12/27
We study the scaling behavior in the tunneling amplitude when quasiparticles tunnel along a straight path between the two edges of a fractional quantum Hall annulus. Such scaling behavior originates f...
Abelian and non-abelian anyons in integer quantum anomalous Hall effect and topological phase transitions via superconducting proximity effect
Abelian non-abelian anyons integer quantum anomalous Hall effect effect
2010/12/27
We study the quantum anomalous Hall effect described by a class of two-component Haldane models on square lattices. We show that the latter can be transformed into a pseudospin triplet p+ip-wave paire...
Non abelian Bianchi identities, monopoles and gauge invariance
Non abelian Bianchi identities monopoles gauge invariance
2011/1/6
A direct connection is proved between the Non-Abelian Bianchi Identities and the Abelian Bianchi identities for the 't Hooft tensor in a generic gauge; the existence of a magnetic current is related t...
Abelian and non-abelian anyons in integer quantum anomalous Hall effect and topological phase transitions via superconducting proximity effect
Abelian and non-abelian anyons integer quantum anomalous Hall effec topological phase transitions
2010/11/23
We study the quantum anomalous Hall effect described by a class of two-component Haldane
models on square lattices. We show that the latter can be transformed into a pseudospin triplet
p + ip-wave p...
The Abelian Higgs model is an appropriate field theoretic framework for the description of super-conductivity and its topological excitations(Nielson-Olesen-Abrikosov vortex). Recently, C.-Y. Hou etl ...