Results 51 to 60 of about 3,914 (164)

Observation of vortex-string chiral modes in metamaterials

Nature Communications
As hypothetical topological defects in the geometry of spacetime, vortex strings could have played many roles in cosmology, and their distinct features can provide observable clues about the early universe’s evolution.
Jingwen Ma, Ding Jia, Li Zhang, Yi-jun Guan, Yong Ge, Hong-xiang Sun, Shou-qi Yuan, Hongsheng Chen, Yihao Yang, Xiang Zhang   +9 more
doaj   +1 more source

String topology for Lie groups [PDF]

Journal of Topology, 2010
In 1999 Chas and Sullivan showed that the homology of the free loop space of an oriented manifold admits the structure of a Batalin-Vilkovisky algebra. In this paper we give a direct description of this Batalin-Vilkovisky algebra in the case that the manifold is a compact Lie group G. Our answer is phrased in terms of the homology of G, the homology of
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Trinion conformal blocks from topological strings

Journal of High Energy Physics, 2020
In this paper we investigate the relation between conformal blocks of Liouville CFT and the topological string partition functions of the rank one trinion theory T 2.
Ioana Coman, Elli Pomoni, Joerg Teschner
doaj   +1 more source

Random Generation Topology Coding Technique in Asymmetric Topology Encryption

Mathematics
The security of traditional public key cryptography algorithms depends on the difficulty of the underlying mathematical problems. Asymmetric topological encryption is a graph-dependent encryption algorithm produced to resist attacks by quantum computers ...
Jing Su, Bing Yao
doaj   +1 more source

Topological amplitude computations using the pure spinor formalism

Journal of High Energy Physics, 2019
After constructing a simplified four-dimensional version of the b ghost, topological multiloop amplitudes in type II superstring theory compactified on a six-dimensional orbifold are computed using the non-minimal pure spinor formalism. These pure spinor
Nathan Berkovits, Luis Alberto Ypanaqué
doaj   +1 more source

SCFTs, holography, and topological strings [PDF]

Surveys in Differential Geometry, 2018
115 pages, 36 ...
Hayashi, Hirotaka, Jefferson, Patrick, Kim, Hee-Cheol, Ohmori, Kantaro, Vafa, Cumrun   +4 more
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New Z3 strings

Physics Letters B, 2016
We consider a Yang–Mills–Higgs theory with the gauge group SU(3) broken to its center Z3 by two scalar fields in the adjoint representation and obtain new Z3 strings asymptotic configurations with the gauge field and magnetic field in the direction of ...
Marco A.C. Kneipp, Paulo J. Liebgott
doaj   +1 more source

Defects in the 3-dimensional toric code model form a braided fusion 2-category

Journal of High Energy Physics, 2020
It was well known that there are e-particles and m-strings in the 3-dimensional (spatial dimension) toric code model, which realizes the 3-dimensional ℤ2 topological order.
Liang Kong, Yin Tian, Zhi-Hao Zhang
doaj   +1 more source

Cap products in string topology [PDF]

Algebraic & Geometric Topology, 2009
Chas and Sullivan showed that the homology of the free loop space LM of an oriented closed smooth finite dimensional manifold M admits the structure of a Batalin-Vilkovisky (BV) algebra equipped with an associative product called the loop product and a Lie bracket called the loop bracket.
openaire   +4 more sources

Geometry and Topology of String Junctions [PDF]

Journal of Singularities, 2016
We study elliptic fibrations by analyzing suitable deformations of the fibrations and vanishing cycles. We introduce geometric string junctions and describe some of their properties. We show how the structure of the geometric string junctions is naturally related to the Lie algebra structures of the associated singularities.
Grassi, Antonella, Halverson, James, Shaneson, Julius L.   +2 more
openaire   +3 more sources