I will discuss the conditions under which Higgs and confining regimes in gauge theories with fundamental representation matter fields can be sharply distinguished. It is widely believed that these regimes...
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Kapustin and Witten have studied a one-parameter family of topological twists of 4d N=4 super Yang--Mills. They have shown that the categories of boundary conditions on a surface are exactly...
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Dualities play an important role in both quantum field theories and condensed matter systems. They can map hard-to-solve, interacting theories to free, non-interacting ones often trigger a deeper understanding of the...
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Topological qauntum field theory(TQFT) is a very powerful theoretical tool to study topological phases and phase transitions. In 2 + 1D, it is well known that the Chern-Simons theory captures...
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The Clifford group is the most important set of quantum circuits that allow for an efficient classical description. It therefore forms an integral part of many protocols in quantum information, and it...
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Let $C$ be a complex smooth projective curve. We consider the set of parabolic de Rham bundles over $C$ (with rational weights in parabolic structure). Many examples arise from geometry:...
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Despite the importance of intangibles in today's economy, current standards prohibit the capitalization of internally created knowledge and organizational capital, resulting in a downward bias of reported assets. As a...
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I will talk about a nonperturbative formulation of chiral fermions and chiral (self-dual) p-form fields, in terms of massive theories in one-higher dimensions. The introduction of the higher dimensional bulk is unavoidable...
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In the constructions of symmetry-protected topological (SPT) states, we usually decorate lower-dimensional states to higher codimensional domain walls of the system. In this talk, we will argue that domain wall decorations are basically...
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We are interested in mathematical results which are stated entirely without reference to von Neumann algebras but whose proofs use von Neumann algebras in an essential way. The first stunning...
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