scholarly journals Turning off quantum duality

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
X.-F. Qian ◽  
K. Konthasinghe ◽  
S. K. Manikandan ◽  
D. Spiecker ◽  
A. N. Vamivakas ◽  
...  
Keyword(s):  

2004 ◽  
Vol 602 (1-2) ◽  
pp. 144-148 ◽  
Author(s):  
J.L. Noronha ◽  
C. Wotzasek


2019 ◽  
Vol 52 (39) ◽  
pp. 395302
Author(s):  
Michael Kreshchuk ◽  
Tobias Gulden


2006 ◽  
Vol 148 (1) ◽  
pp. 968-979 ◽  
Author(s):  
V. D. Lyakhovsky


1996 ◽  
Vol 210 (1-2) ◽  
pp. 110-114 ◽  
Author(s):  
C.-A. Piguet ◽  
D.F. Wang ◽  
C. Gruber


2007 ◽  
Vol 22 (16) ◽  
pp. 1133-1142 ◽  
Author(s):  
M. RAMÓN MEDRANO ◽  
N. G. SÁNCHEZ

We study the SL (2,R) WZWN string model describing bosonic string theory in AdS3 spacetime as a deformed oscillator together with its mass spectrum and the string modified SL (2,R) uncertainty relation. The SL (2,R) string oscillator is far more quantum (with higher quantum uncertainty) and more excited than the non-deformed one. This is accompassed by the highly excited string mass spectrum which is drastically changed with respect to the low excited one. The highly excited quantum string regime and the low excited semiclassical regime of the SL (2,R) string model are described and shown to be the quantum-classical dual of each other in the precise sense of the usual classical-quantum duality. This classical-quantum realization is not assumed nor conjectured. The quantum regime (high curvature) displays a modified Heisenberg's uncertainty relation, while the classical (low curvature) regime has the usual quantum mechanics uncertainty principle.



2006 ◽  
Vol 199 (1) ◽  
pp. 104-135 ◽  
Author(s):  
Nicola Ciccoli ◽  
Fabio Gavarini


2015 ◽  
Vol 106 ◽  
pp. 59-72 ◽  
Author(s):  
Rita Fioresi


2006 ◽  
Vol 03 (07) ◽  
pp. 1293-1302
Author(s):  
JOSÉ M. ISIDRO

It has been argued that, underlying the M-theoretic dualities, there should exist a symmetry relating the semiclassical and the strong-quantum regimes of a given action integral. On the other hand, a field-theoretic exchange between long and short distances (similar in nature to the T-duality of strings) has been shown to provide a starting point for quantum gravity, in that this exchange enforces the existence of a fundamental length scale on spacetime. In this paper, we prove that the above semiclassical vs. strong-quantum symmetry is equivalent to the exchange of long and short distances. Hence the former symmetry, as much as the latter, also enforces the existence of a length scale. We apply these facts in order to classify all possible duality groups of a given action integral on spacetime, regardless of its specific nature and of its degrees of freedom.



1997 ◽  
Vol 12 (01) ◽  
pp. 225-230 ◽  
Author(s):  
V. D. Lyakhovsky ◽  
A. M. Mirolyubov

The geometrical description of deformation quantization based on quantum duality principle makes it possible to introduce deformed Lie-Poisson structures — natural analogues of classical Lie bialgebras for the case when the initial object is a quantized group. Special types of contractions — the so called first order contractions — play the significant role in the explicit realization of deformed Lie-Poisson structures. Such contractions can be naturally applied to the Drinfeld double. In the case of (u(1) ⊕ sl(2))q we investigate explicitly the deformed structures induced by the first order contractions.





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