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We will talk about the (quantum) modularity of WRT invariants or GPPV invariants in general of Seifert fibered homology spheres. It turns out that they are related to the Stokes phenomena of the Ohtsu...
物理学中许多概念是在不断地发展中的。例如人们对光、电子等的理解与它们刚开始出现时的概念已经发生了许多进化,而固体物理学中的“绝缘体”概念也是如此。近三十年来,量子霍尔效应的相关研究不仅催生了拓扑序这一新的物相分类,也推动了拓扑绝缘体这一新兴研究领域的诞生和发展。随着量子自旋霍尔效应、拓扑晶体绝缘体等工作的后续展开,人们意识到对称性可以带来新的拓扑态,同时也不断地在“普通绝缘体”中发现新的拓扑态。这...
Liouville quantum gravity (LQG) is a theory of random surfaces that originated from string theory. Schramm Loewner evolution (SLE) is a family of random planar curves describing scaling limits of many...
What does a six-dimensional figure look like? Theoretical physicist Richard Nally can’t show you exactly, but he does have a sculpture – a pink shape the size of a grapefruit – that can help you imagi...
Two pillar theories in physics – general relativity and quantum mechanics – stand up well on their own, but are incompatible with each other.
New research conducted at the University of Chicago has confirmed a decades-old theory describing the dynamics of continuous phase transitions.The findings, published in the Nov. 4 issue of Science, p...
Superconductivity–a quantum phenomenon in which metals below a certain temperature develop flow of current with no loss or resistance–is one of the most exciting problems in physics, which has resulte...
A theoretical scheme for studying the properties of localized, monochromatic, and highly directive classical current distributions in two and three dimensions is formulated and analyzed. For continuou...
The morphological relaxation of faceted crystal surfaces is studied via a continuum approach. Our formulation includes (i) an evolution equation for the surface slope that describes step line tension,...
A new study by a team of physicists at Rice University, Zhejiang University, Los Alamos National Laboratory, Florida State University and the Max Planck Institute adds to the growing body of evidence ...
I describe the treatment of gravity as a quantum effective field theory. This allows a natural separation of the (known) low energy quantum effects from the (unknown) high energy contributions. Within...
Recently methods have been developed which exploit the chiral symmetry of QCD in order to make rigorous contact with low energy particle physics phenomenology. In these lectures we present a pedagogic...
We perform a calculation of the isospin and hypercharge vector-current propagators (ΔV33μν(q2) and ΔV88μν(q2)) to two loops in chiral perturbation theory. The analysis is carried out with straight-for...
I describe the methodology for the use of dispersion relations in connection with chiral perturbation theory. The conditions for matching the two formalisms are given at $O(E^2)$ and $O(E^4)$. The two...
The techniques of dispersion relations match very well with those of effective field theory. I describe the techniques for using dispersion relations effectively, and give some pedagogical examples to...

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