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Classical Hamiltonian time crystals–general theory and simple examples
New Journal of Physics, 2020 We focus on a Hamiltonian system with a continuous symmetry, and dynamics that takes place on a presymplectic manifold. We explain how the symmetry can become spontaneously broken by a time crystal, that we define as the minimum of the available ...
Jin Dai, Antti J Niemi, Xubiao Peng
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Multi-loop open string amplitudes and their field theory limit [PDF]
, 2013 JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0This work was supported by STFC (Grant ST/J000469/1, ‘String theory, gauge theory & duality’) and by MIUR (Italy) under contracts 2006020509 004 and 2010YJ2NYW ...
Sciuto, S +3 more
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Topological amplitudes in string theory [PDF]
Nuclear Physics B, 1994 We show that certain type II string amplitudes at genus $g$ are given by the topological partition function $F_g$ discussed recently by Bershadsky, Cecotti, Ooguri and Vafa. These amplitudes give rise to a term in the four-dimensional effective action of the form $\sum_g F_g W^{2g}$, where $W$ is the chiral superfield of $N=2$ supergravitational ...
Antoniadis, I. +3 more
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Bifurcation of a topological skyrmion string
Physical Review B, 2022 6 pages, 3 ...
Xia, Jing +8 more
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Schwinger-type parametrization of open string worldsheets
Physics Letters B, 2017 A parametrization of (super) moduli space near the corners corresponding to bosonic or Neveu–Schwarz open string degenerations is introduced for worldsheets of arbitrary topology.
Sam Playle, Stefano Sciuto
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Open minimal strings and open Gelfand-Dickey hierarchies
Journal of High Energy Physics, 2019 We study the connection between minimal Liouville string theory and generalized open KdV hierarchies. We are interested in generalizing Douglas string equation formalism to the open topology case. We show that combining the results of the closed topology,
Konstantin Aleshkin, Vladimir Belavin
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Direct integration of the topological string [PDF]
Journal of High Energy Physics, 2007 We present a new method to solve the holomorphic anomaly equations governing the free energies of type B topological strings. The method is based on direct integration with respect to the non-holomorphic dependence of the amplitudes, and relies on the interplay between non-holomorphicity and modularity properties of the topological string amplitudes ...
Grimm, Thomas W. +3 more
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String topology of Poincare duality groups [PDF]
, 2008 This is the version published by Geometry & Topology Monographs on 22 February 2008International audienceLet G be a Poincare duality group of dimension n. For a given element g in G, let C_g denote its centralizer subgroup.
Cohen, Ralph +5 more
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Topological solitons in helical strings
Physical Review E, 2015 5 pages 4 figures.
Cristiano Nisoli, Alexander V. Balatsky
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STRINGS AND NON-TOPOLOGICAL SOLITONS [PDF]
Modern Physics Letters A, 1994 We have numerically calculated topological and non-topological solitons in two spatial dimensions with Chern-Simons term. Their quantum stability, as well as that of the Maxwell vortex, is analyzed by means of bounce instantons which involve three-dimensional strings and non-topological solitons.
Fiore, R. +3 more
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