3,161 research outputs found
Non-Local Virasoro Symmetries in the mKdV Hierarchy
We generalize the dressing symmetry construction in mKdV hierarchy. This
leads to non-local vector fields (expressed in terms of vertex operators)
closing a Virasoro algebra. We argue that this algebra realization should play
an important role in the study of 2D integrable field theories and in
particular should be related to the Deformed Virasoro Algebra (DVA) when the
construction is perturbed out of the critical theory.Comment: 11 pages, LaTex fil
Hidden Virasoro Symmetry of (Soliton Solutions of) the Sine Gordon Theory
We present a construction of a Virasoro symmetry of the sine-Gordon (SG)
theory. It is a dynamical one and has nothing to do with the space-time
Virasoro symmetry of 2D CFT. Although it is clear how it can be realized
dyrectly in the SG field theory, we are rather concerned here with the
corresponding N-soliton solutions. We present explicit expressions for their
infinithesimal transformations and show that they are local in this case. Some
preliminary stages about the quantization of the classical results presented in
this paper are also given.Comment: 17 pages, corrected some typos, two references adde
On the Null Vectors in the Spectra of the 2D Integrable Hierarchies
We propose an alternative description of the spectrum of local fields in the
classical limit of the integrable quantum field theories. It is close to
similar constructions used in the geometrical treatment of W-gravities. Our
approach provides a systematic way of deriving the null-vectors that appear in
this construction. We present explicit results for the case of the
A_1^{1}-(m)KdV and the A_2^{2}-(m)KdV hierarchies, different classical limits
of 2D CFT's. In the former case our results coincide with the classical limit
of the construction of Babelon, Bernard and Smirnov.Some hints about
quantization and off-critical treatment are also given.Comment: 15 pages, LATEX file, to appear in Phys.Lett.
Domestic Enemy: Poisoning and Resistance to the Slave Order in the 19th century French Antilles
This article wishes to contribute to the study of disobedience rights, by analyzing instances of resistance against slavery in the French Antilles during the Restoration period. This period was the backdrop for quite a number of significant slave revolts; not just in the French colonies, but also the English and the Spanish ones, such as Jamaica, Cuba, the Barbados islands or the Bermudas. The uprisings occurred coincidentally during a phase of French history that witnessed a booming slave trade, although it had been formally abolished following the congress of Vienn
TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT
We consider high spin, , long twist, , planar operators (asymptotic
Bethe Ansatz) of strong SYM. Precisely, we compute the minimal
anomalous dimensions for large 't Hooft coupling to the lowest order
of the (string) scaling variable with GKP string size . At the leading order ,
we can confirm the O(6) non-linear sigma model description for this bulk term,
without boundary term . Going further, we derive,
extending the O(6) regime, the exact effect of the size finiteness. In
particular, we compute, at all loops, the first Casimir correction (in terms of the infinite size O(6) NLSM), which reveals only one
massless mode (out of five), as predictable once the O(6) description has been
extended. Consequently, upon comparing with string theory expansion, at one
loop our findings agree for large twist, while reveal for negligible twist,
already at this order, the appearance of wrapping. At two loops, as well as for
next loops and orders, we can produce predictions, which may guide future
string computations.Comment: Version 2 with: new exact expression for the Casimir energy derived
(beyond the first two loops of the previous version); UV theory formulated
and analysed extensively in the Appendix C; origin of the O(6) NLSM
scattering clarified; typos correct and references adde
Modelling the contribution of metacognitions and expectancies to problematic smartphone use
Abstract Background and aims In the current study we have sought to clarify the contribution of metacognitions concerning smartphone use relative to smartphone use expectancies in the relationship between well-established predisposing psychological factors and problematic smartphone use (PSU). We tested a model where psychological distress, impulsivity, and proneness to boredom predict metacognitions about smartphone use and smartphone use expectancies, which in turn predict PSU. Methods A sample of 535 participants (F = 71.2%; mean age = 27.38 ± 9.05 years) was recruited. Results The model accounted for 64% of the PSU variance and showed good fit indices (χ 2 = 16.01, df = 13, P = 0.24; RMSEA [90%CI] = 0.02 [0–0.05], CFI = 0.99; SRMR = 0.03). We found that: (i) when it comes to psychological distress and boredom proneness, negative metacognitions, and both positive and negative expectancies play a mediating role in the association with PSU, with negative metacognitions showing a dominant role; (ii) there is no overlap between positive expectancies and positive metacognitions, especially when it comes to smartphone use as a means for socializing; (iii) impulsivity did not show a significant effect on PSU Direct effects of the predictors on PSU were not found. Discussion and conclusions The current study found additional support for applying metacognitive theory to the understanding of PSU and highlight the dominant role of negative metacognitions about smartphone in predicting PSU
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