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The past years have seen rapid progress in the classification of topological materials. These diagnostical methods are increasingly getting explored in the pertinent context of magnetic structures. We report on a general class of electronic…

介观与纳米尺度物理 · 物理学 2021-06-18 Adrien Bouhon , Gunnar F. Lange , Robert-Jan Slager

We study orbifolds of two-dimensional topological field theories using defects. If the TFT arises as the twist of a superconformal field theory, we recover results on the Neveu-Schwarz and Ramond sectors of the orbifold theory as well as…

高能物理 - 理论 · 物理学 2014-09-16 Ilka Brunner , Nils Carqueville , Daniel Plencner

The bulk-boundary correspondence relates topologically-protected edge modes to bulk topological invariants, and is well-understood for short-range free-fermion chains. Although case studies have considered long-range Hamiltonians whose…

强关联电子 · 物理学 2023-12-21 Nick G. Jones , Ryan Thorngren , Ruben Verresen

The usual Chern-Simons extension of Einstein gravity theory consists in adding a squared Riemann contribution to the Hilbert Lagrangian, which means that a square-curvature term is added to the linear-curvature leading term governing the…

综合物理 · 物理学 2021-03-30 Luca Fabbri

We propose a new "Hamiltonian inspired" covariant formula to define (without harmful ambiguities) the superpotential and the physical charges associated to a gauge symmetry. The criterion requires the variation of the Noether current not to…

高能物理 - 理论 · 物理学 2009-10-31 S. Silva

We show how the natural Abelian duality of 2 and 3-form gravity theories on seven dimensional manifold CY3xS1, leads to an S-duality between 2 and 3-form theories on simply connected CY3. The massless sector of the 2-form field theory on…

高能物理 - 理论 · 物理学 2010-04-30 Farhang Loran , Hesam Soltanpanahi

We consider the Gopakumar-Ooguri-Vafa correspondence, relating ${\rm U}(N)$ Chern-Simons theory at large $N$ to topological strings, in the context of spherical Seifert 3-manifolds. These are quotients $\mathbb{S}^{\Gamma} =…

高能物理 - 理论 · 物理学 2023-07-07 Gaetan Borot , Andrea Brini

We introduce a new class of gauge field theories in any complex dimension, based on algebra-valued (p,q)-forms on complex n-manifolds. These theories are holomorphic analogs of the well-known Chern-Simons and BF topological theories defined…

高能物理 - 理论 · 物理学 2009-10-31 Alexander D. Popov

The plethora of recent discoveries in the field of topological electronic insulators has inspired a search for boson systems with similar properties. There are predictions that ferromagnets on a two-dimensional honeycomb lattice may host…

介观与纳米尺度物理 · 物理学 2019-03-27 Even Thingstad , Akashdeep Kamra , Arne Brataas , Asle Sudbø

In general, the stability of a band crossing point indicates the presence of a quantized topological number associated with it. In particular, the recent discovery of three-dimensional Dirac semimetals in Na$_{3}$Bi and Cd$_{3}$As$_{2}$…

介观与纳米尺度物理 · 物理学 2015-10-27 Bohm-Jung Yang , Takahiro Morimoto , Akira Furusaki

We present an orbifold topological vertex formalism for PT invariants of toric Calabi-Yau 3-orbifolds with transverse $A_{n-1}$ singularities. We give a proof of the orbifold DT/PT Calabi-Yau topological vertex correspondence. As an…

代数几何 · 数学 2025-04-02 Yijie Lin

We study the quantum mechanics of a system of topologically interacting particles in 2+1 dimensions, which is described by coupling the particles to a Chern-Simons gauge field of an inhomogeneous group. Analysis of the phase space shows…

高能物理 - 理论 · 物理学 2009-10-31 F. A. Bais , N. M. Muller

As we re-examine the known holographic N=1 supersymmetric renormalization group flow in four dimensions, we describe the mass-deformed Bagger-Lambert theory or equivalently the mass-deformed U(2) x U(2) Chern-Simons gauge theory with level…

高能物理 - 理论 · 物理学 2011-03-02 Changhyun Ahn

While sign-coherent 4-dimensional structures cannot dominate topological charge fluctuations in the QCD vacuum at all scales due to reflection positivity, it is possible that enhanced coherence exists over extended space-time regions of…

高能物理 - 格点 · 物理学 2008-11-26 I. Horvath , S. J. Dong , T. Draper , F. X. Lee , K. F. Liu , N. Mathur , H. B. Thacker , J. B. Zhang

We present the Hamiltonian analysis of the theory of gravity based on a Lagrangian density containing Hilbert-Palatini term along with three topological densities, Nieh-Yan, Pontryagin and Euler. The addition of these topological terms…

广义相对论与量子宇宙学 · 物理学 2012-01-24 Romesh K. Kaul , Sandipan Sengupta

We show that the holonomy of a connection defined on a principal composite bundle is related by a non-abelian Stokes theorem to the composition of the holonomies associated with the connections of the component bundles of the composite. We…

数学物理 · 物理学 2011-04-07 David Viennot

We study the holomorphic twist of 3d ${\cal N}=2$ gauge theories in the presence of boundaries, and the algebraic structure of bulk and boundary local operators. In the holomorphic twist, both bulk and boundary local operators form chiral…

高能物理 - 理论 · 物理学 2020-05-04 Kevin Costello , Tudor Dimofte , Davide Gaiotto

We derive and test a novel holographic duality in the B-model topological string theory. The duality relates the B-model on certain Calabi-Yau three-folds to two-dimensional chiral algebras defined as gauged $\beta\gamma\,$ systems. The…

高能物理 - 理论 · 物理学 2021-01-11 Kevin Costello , Davide Gaiotto

This paper investigates holographic torus correlators of generic operators at conformal infinity and a finite cutoff within AdS$_3$ gravity coupled with a free scalar field. Using a near-boundary analysis and solving the gravitational…

高能物理 - 理论 · 物理学 2024-05-27 Song He , Yun-Ze Li , Yunda Zhang

The most general theory of gravity in d-dimensions which leads to second order field equations for the metric has [(d-1)/2] free parameters. It is shown that requiring the theory to have the maximum possible number of degrees of freedom,…

高能物理 - 理论 · 物理学 2009-10-31 Ricardo Troncoso , Jorge Zanelli
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