Results 21 to 30 of about 6,054 (257)

Connectomes and properties of quantum entanglement

open access: yesJournal of High Energy Physics, 2023
Topological quantum field theories (TQFT) encode properties of quantum states in the topological features of abstract manifolds. One can use the topological avatars of quantum states to develop intuition about different concepts and phenomena of quantum ...
Dmitry Melnikov
doaj   +1 more source

Knots, links, and long-range magic

open access: yesJournal of High Energy Physics, 2021
We study the extent to which knot and link states (that is, states in 3d Chern-Simons theory prepared by path integration on knot and link complements) can or cannot be described by stabilizer states. States which are not classical mixtures of stabilizer
Jackson R. Fliss
doaj   +1 more source

Revisiting the Melvin-Morton-Rozansky expansion, or there and back again

open access: yesJournal of High Energy Physics, 2020
Alexander polynomial arises in the leading term of a semi-classical Melvin-Morton-Rozansky expansion of colored knot polynomials. In this work, following the opposite direction, we propose how to reconstruct colored HOMFLY-PT polynomials ...
Sibasish Banerjee   +2 more
doaj   +1 more source

Topological Field Theory Interpretation of String Topology [PDF]

open access: yesCommunications in Mathematical Physics, 2003
ISSN:0010 ...
Cattaneo Alberto S.   +2 more
openaire   +4 more sources

ON DUBROVIN TOPOLOGICAL FIELD THEORIES [PDF]

open access: yesModern Physics Letters A, 1994
I show that the new topological field theories recently associated by Dubrovin with each Coxeter group may all be obtained in a simple way by a "restriction" of the standard ADE solutions. I then study the Chebyshev specializations of these topological algebras, examine how the Coxeter graphs and matrices reappear in the dual algebra and mention the ...
openaire   +2 more sources

TOPOLOGICAL FIELD THEORIES AND THE PERIOD INTEGRALS [PDF]

open access: yesModern Physics Letters A, 1993
We discuss topological Landau-Ginzburg theories coupled to two-dimensional topological gravity. We point out that the basic recursion relations for correlation functions of the two-dimensional gravity have exactly the same form as the Gauss-Manin differential equations for the period integrals of superpotentials.
Eguchi, Tohru   +2 more
openaire   +4 more sources

Topological Field Theory and Computing with Instantons [PDF]

open access: yesAnnalen der Physik, 2017
AbstractIt is well known that dynamical systems may be employed as computing machines. However, not all dynamical systems offer particular advantages compared to the standard paradigm of computation, in regard to efficiency and scalability. Recently, it was suggested that a new type of machines, named digital –hence scalable– memcomputing machines ...
Massimiliano Di Ventra   +2 more
openaire   +2 more sources

UNTWISTING TOPOLOGICAL FIELD THEORIES [PDF]

open access: yesGauge Theories, Applied Supersymmetry and Quantum Gravity II, 1997
9 pages, LaTeX 2e (amsfonts, euscript)
openaire   +2 more sources

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