66 research outputs found
Error estimates in horocycle averages asymptotics: challenges from string theory
No full textFor modular functions of rapid decay, a classical result connects the error estimate in their long horocycle average asymptotic to the Riemann hypothesis. We study similar asymptotics, for modular functions with not that mild growing conditions, such as of polynomial growth and of exponential growth at the cusp. Hints on their long horocycle average are derived by translating the horocycle flow dynamical problem in string theory language. Results are then proved by designing an unfolding trick involving a Theta series, related to the spectral Eisenstein series by Mellin integral transform. We discuss how the string theory point of view leads to an interesting open question, regarding the behavior of long horocycle averages of a certain class of automorphic forms of exponential growth at the cusp
Vanishing perturbative vacuum energy in non-supersymmetric orientifolds
No full textAbstractWe present a novel source for supersymmetry breaking in orientifold models, and show that it gives a vanishing contribution to the vacuum energy at genus zero and three-half. We also argue that all the corresponding perturbative contributions to the vacuum energy from higher-genus Riemann surfaces vanish identically
Eluding SUSY at every genus on stable closed string vacua.
No full textIn closed string vacua, ergodicity of unipotent ows provide a key for relat-ing vacuum stability to the UV behavior of spectra and interactions. Infrared finiteness at all genera in perturbation theory can be rephrased in terms of cancelations involving only tree-level closed strings scattering amplitudes. This provides quantitative results on the allowed deviations from supersymmetry on perturbative stable vacua. From a math-ematical perspective, diagrammatic relations involving closed string amplitudes suggest a relevance of unipotent ows dynamics for the Schottky problem and for the construction of the superstring measure
An alternative for moduli stabilisation
No full textAbstractThe one-loop vacuum energy is explicitly computed for a class of perturbative string vacua where supersymmetry is spontaneously broken by a T-duality invariant asymmetric Scherk–Schwarz deformation. The low-lying spectrum is tachyon-free for any value of the compactification radii and thus no Hagedorn-like phase-transition takes place. Indeed, the induced effective potential is free of divergence, and has a global anti-de Sitter minimum where geometric moduli are naturally stabilised
Horocycles, Asymptotic Freedom And Charge Screening In QED, Nonlinear -Model In 2 Dimensions Has A Structure Similar To The SU (N) Invariant Yang-Mills Theory In 4 Dimensions, Spinorial Geometry, Horizons And Superconformal Symmetry, Induced Gravity, Maxw
No full textMatteo A. Cardella brought to the notice the befuddling connection the dynamics of the horocycle flowing the modular surface and the Riemann hypothesis. Error term for the asymptotic of the horocycle average of a modular function of rapid decay drew the attention of author who probed whether such results occur for a broader class of modular functions, including functions of polynomial growth, and of exponential growth at the cusp. Hints on their long horocycle average are derived by translating the horocycle flow dynamical problem in string theory language. Results are then proved by designing an unfolding trick involving a Theta series, related to the spectral Eisenstein series by Mellin integral transform....The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-278238-282357.pd
Equidistribution rates, closed string amplitudes, and the Riemann hypothesis
No full textWe study asymptotic relations connecting unipotent averages of Sp(2g,Z) automorphic forms to their integrals over the moduli space of principally polarized abelian varieties. We obtain reformulations of the Riemann hypothesis as a class of problems concerning the computation of the equidistribution convergence rate in those asymptotic relations. We discuss applications of our results to closed string amplitudes. Remarkably, the Riemann hypothesis can be rephrased in terms of ultraviolet relations occurring in perturbative closed string theory
CREDIT RISK AND INTER-FIRM DEPENDENCE
No full textRights Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author
Derivation of the two Schwarzians effective action for the Sachdev–Ye-Kitaev spectral form factor
No full textThe Sachdev–Ye-Kitaev model spectral form factor exhibits absence of information loss, in the form of a ramp and a plateau that are typical in random matrix theory. In a large N collective fields description, the ramp was reproduced by Saad et al. (A semiclassical ramp in SYK and in gravity, arXiv:1806.0684
Una commedia cinematografica in bilico fra realtà napoletana e umorismo pirandelliano: 'Reality' di Matteo Garrone
No full textstatus: Publishe
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