On regular polyhedra with hidden symmetries

1987 ◽  
Vol 12 (3-4) ◽  
pp. 450-458
Author(s):  
Jörg M. Wills
Keyword(s):  
Hidden Symmetries ◽  
Regular Polyhedra

Regular polyhedra with hidden symmetries

1988 ◽  
Vol 10 (1) ◽  
pp. 27-32 ◽  
Author(s):  
Jürgen Bokowski ◽  
Jörg M. Wills
Keyword(s):  
Hidden Symmetries ◽  
Regular Polyhedra

scholarly journals Planetary Systems and the Hidden Symmetries of the Kepler Problem

Symmetry ◽  
2020 ◽  
Vol 12 (12) ◽  
pp. 2109
Author(s):  
József Cseh
Keyword(s):  
Solar System ◽  
Planetary System ◽  
Kepler Problem ◽  
Regular Sequence ◽  
Transformation Rule ◽  
Hidden Symmetries ◽  
Regular Polyhedra ◽  
Hidden Symmetry ◽  
Planetary Orbits ◽  
Exoplanet Systems

The question of whether the solar distances of the planetary system follow a regular sequence was raised by Kepler more than 400 years ago. He could not prove his expectation, inasmuch as the planetary orbits are not transformed into each other by the regular polyhedra. In 1989, Barut proposed another relation, which was inspired by the hidden symmetry of the Kepler problem. It was found to be approximately valid for our Solar System. Here, we investigate if exoplanet systems follow this rule. We find that the symmetry-governed sequence is valid in several systems. It is very unlikely that the observed regularity is by chance; therefore, our findings give support to Kepler’s guess, although with a different transformation rule.

Hidden symmetries and pattern formation in Lapwood convection

1996 ◽  
Vol 11 (3) ◽  
pp. 155-192 ◽  
Author(s):  
Michael Impey ◽  
Mark Roberts ◽  
Ian Stewart
Keyword(s):  
Pattern Formation ◽  
Hidden Symmetries

scholarly journals Hidden Symmetries of the Principal Chiral Model Unveiled

1998 ◽  
Vol 190 (3) ◽  
pp. 675-695 ◽  
Author(s):  
C. Devchand ◽  
Jeremy Schiff
Keyword(s):  
Chiral Model ◽  
Hidden Symmetries ◽  
Principal Chiral Model

scholarly journals On String Integrability: A Journey through the Two-Dimensional Hidden Symmetries in the AdS/CFT Dualities

2010 ◽  
Vol 2010 ◽  
pp. 1-133 ◽  
Author(s):  
Valentina Giangreco Marotta Puletti
Keyword(s):  
String Theory ◽  
Two Dimensional ◽  
Pure Spinor ◽  
Hidden Symmetries ◽  
Quantum Integrability ◽  
Conserved Charges ◽  
Phd Thesis

One of the main topics in the modern String Theory are the AdS/CFT dualities. Proving such conjectures is extremely difficult since the gauge and string theory perturbative regimes do not overlap. In this perspective, the discovery of infinitely many conserved charges, that is, the integrability, in the planar AdS/CFT has allowed us to reach immense progresses in understanding and confirming the duality. We review the fundamental concepts and properties of integrability in two-dimensionalσ-models and in the AdS/CFT context. The first part is focused on theAdS5/CFT4duality, especially the classical and quantum integrability of the type IIB superstring onAdS5×S5which is discussed in both pure spinor and Green-Schwarz formulations. The second part is dedicated to theAdS4/CFT3duality with particular attention to the type IIA superstring onAdS4×ℂP3and its integrability. This review is based on the author's PhD thesis discussed at Uppsala University the 21st September 2009.

scholarly journals SCATTERING, GREEN’S FUNCTIONS AND SYMMETRIES IN A TOTAL SPACE OF A DIRAC MONOPOLE FIBRE BUNDLE

1991 ◽  
Vol 06 (04) ◽  
pp. 577-598 ◽  
Author(s):  
A.G. SAVINKOV ◽  
A.B. RYZHOV
Keyword(s):  
Green's Functions ◽  
Principal Bundle ◽  
Fibre Bundle ◽  
Green’S Functions ◽  
Wave Functions ◽  
Total Space ◽  
Dirac Monopole ◽  
Hidden Symmetries ◽  
Scattering Wave ◽  
A Charge

The scattering wave functions and Green’s functions were found in a total space of a Dirac monopole principal bundle. Also, hidden symmetries of a charge-Dirac monopole system and those joining the states relating to different topological charges n=2eg were found.

Hidden symmetries for some classical field models

1982 ◽  
Vol 53 (2) ◽  
pp. 1099-1107 ◽  
Author(s):  
R. P. Zaikov
Keyword(s):  
Classical Field ◽  
Hidden Symmetries

scholarly journals Hidden symmetries of supersymmetric p-form gauge theories

2000 ◽  
Vol 494 (3-4) ◽  
pp. 325-331 ◽  
Author(s):  
Friedemann Brandt
Keyword(s):  
Gauge Theories ◽  
Hidden Symmetries
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