Supersymmetry breaking Research Papers - Academia.edu (original) (raw)
In this paper (part II), we analyze some Measure Theory equations and Ramanujan formulas with the developments of the MRB Constant. We obtain new possible mathematical connections with some Cosmological parameters and sectors of String... more
In this paper (part II), we analyze some Measure Theory equations and Ramanujan formulas with the developments of the MRB Constant. We obtain new possible mathematical connections with some Cosmological parameters and sectors of String Theory.
In this paper, we analyze various equations concerning Primordial Gravitational Waves in Standard Cosmology and some sectors of String Theory. We obtain new possible mathematical connections with various Ramanujan formulas and various... more
In this paper, we analyze various equations concerning Primordial Gravitational Waves in Standard Cosmology and some sectors of String Theory. We obtain new possible mathematical connections with various Ramanujan formulas and various developments of the MRB Constant.
Possible proposals to proof of RH with numeric tables on zeta zeros only integer parts.
Appendix in English
We discuss gravitational backgrounds where supersymmetry is broken at the end of a warped throat, and the SUSY-breaking is transmitted to the Standard Model via gauginos which live in (part of) the bulk of the throat geometry. We find... more
We discuss gravitational backgrounds where supersymmetry is broken at the end of a warped throat, and the SUSY-breaking is transmitted to the Standard Model via gauginos which live in (part of) the bulk of the throat geometry. We find that the leading effect arises from splittings of certain "messenger mesons," which are adjoint KK-modes of the D-branes supporting the Standard Model gauge group. This picture is a gravity dual of a strongly coupled field theory where SUSY is broken in a hidden sector and transmitted to the Standard Model via a relative of semi-direct gauge mediation.
In this paper, we analyze some equations of Manuscript Book 2 of Srinivasa Ramanujan. We describe the new possible mathematical connections with several equations concerning the Geometric Measure Theory, the MRB (Marvin Ray Burns)... more
In this paper, we analyze some equations of Manuscript Book 2 of Srinivasa Ramanujan. We describe the new possible mathematical connections with several equations concerning the Geometric Measure Theory, the MRB (Marvin Ray Burns) Constant and various sectors of String Theory
In this paper, (part VIII) we analyze further equations of Manuscript Book 2 of Srinivasa Ramanujan and on the Geometric Measure Theory. We describe the new possible mathematical connections with the MRB (Marvin Ray Burns) Constant,... more
In this paper, (part VIII) we analyze further equations of Manuscript Book 2 of Srinivasa Ramanujan and on the Geometric Measure Theory. We describe the new possible mathematical connections with the MRB (Marvin Ray Burns) Constant, several Cosmological Solutions of a New Nonlocal Gravity Model and some sectors of String Theory
Back-reaction effects can modify the dynamics of mobile D3 branes moving within type IIB vacua, in a way which has recently become calculable. We identify some of the ways these effects can alter inflationary scenarios, with the following... more
Back-reaction effects can modify the dynamics of mobile D3 branes moving within type IIB vacua, in a way which has recently become calculable. We identify some of the ways these effects can alter inflationary scenarios, with the following three results: (1) By examining how the forces on the brane due to moduli-stabilizing interactions modify the angular motion of D3 branes moving in Klebanov-Strassler type throats, we show how previous slow-roll analyses can remain unchanged for some brane trajectories, while being modified for other trajectories. These forces cause the D3 brane to sink to the bottom of the throat except in a narrow region close to the D7 brane, and do not ameliorate the \eta-problem of slow roll inflation in these throats; (2) We argue that a recently-proposed back-reaction on the dilaton field can be used to provide an alternative way of uplifting these compactifications to Minkowski or De Sitter vacua, without the need for a supersymmetry-breaking anti-D3 brane; and (3) by including also the D-term forces which arise when supersymmetry-breaking fluxes are included on D7 branes we identify the 4D supergravity interactions which capture the dynamics of D3 motion in D3/D7 inflationary scenarios. The form of these potentials sheds some light on recent discussions of how symmetries constrain D term interactions in the low-energy theory.
In this paper, (part VI) we analyze further equations of Manuscript Book 2 of Srinivasa Ramanujan. We describe the new possible mathematical connections with the MRB (Marvin Ray Burns) Constant and several equations concerning some... more
In this paper, (part VI) we analyze further equations of Manuscript Book 2 of Srinivasa Ramanujan. We describe the new possible mathematical connections with the MRB (Marvin Ray Burns) Constant and several equations concerning some sectors of String Theory and Cosmology
We revisit the analysis of effective field theories resulting from non-supersymmetric perturbations to supersymmetric flux compactifications of the type-IIB superstring with an eye towards those resulting from the backreaction of a small... more
We revisit the analysis of effective field theories resulting from non-supersymmetric perturbations to supersymmetric flux compactifications of the type-IIB superstring with an eye towards those resulting from the backreaction of a small number of D3-branes. Independently of the background, we show that the low-energy Lagrangian describing the fluctuations of a stack of probe D3-branes exhibits soft supersymmetry breaking, despite perturbations to marginal operators that were not fully considered in some previous treatments. We take this as an indication that the breaking of supersymmetry by D3-branes or other sources may be spontaneous rather than explicit. In support of this, we consider the action of an D3-brane probing an otherwise supersymmetric configuration and identify a candidate for the corresponding goldstino.
In this research thesis, we analyze some equations concerning “JT Gravity and the Ensembles of Random Matrix Theory”. We describe the mathematical connections and applications of κ formula regarding the Zeros of Riemann Zeta Function and... more
In this research thesis, we analyze some equations concerning “JT Gravity and the Ensembles of Random Matrix Theory”. We describe the mathematical connections and applications of κ formula regarding the Zeros of Riemann Zeta Function and various Ramanujan equations.
. The volume is exponentially large, leading to a range of string scales from the Planck mass to the TeV scale, realising for the first time the large extra dimensions scenario in string theory. We provide a general analysis of the... more
. The volume is exponentially large, leading to a range of string scales from the Planck mass to the TeV scale, realising for the first time the large extra dimensions scenario in string theory. We provide a general analysis of the relevance of perturbative and non-perturbative effects and the regime of validity of the effective field theory. We compute the spectrum in the moduli sector finding a hierarchy of masses depending on inverse powers of the volume. We also compute soft supersymmetry breaking terms for particles living on D3 and D7 branes. We find a hierarchy of soft terms corresponding to `volume dominated' F-term supersymmetry breaking. F-terms for Kahler moduli dominate both those for dilaton and complex structure moduli and D-terms or other de Sitter lifting terms. This is the first class of string models in which soft supersymmetry breaking terms are computed after fixing all geometric moduli. We outline several possible applications of our results, both for cosmology and phenomenology and point out the differences with the less generic KKLT vacua.
In this paper, (part VII) we analyze some integrals concerning the MRB (Marvin Ray Burns) Constant, several equations of Geometric Measure Theory and various equations of Manuscript Book 2 of Srinivasa Ramanujan. We describe the new... more
In this paper, (part VII) we analyze some integrals concerning the MRB (Marvin Ray Burns) Constant, several equations of Geometric Measure Theory and various equations of Manuscript Book 2 of Srinivasa Ramanujan. We describe the new possible mathematical connections with some sectors of String Theory
In this paper (part VII), we analyze various equations concerning the Isoperimetric Theorems and Stability Properties of Balls. Possible mathematical connections with some sectors of Number Theory, String Theory and some cosmological... more
In this paper (part VII), we analyze various equations concerning the Isoperimetric Theorems and Stability Properties of Balls. Possible mathematical connections with some sectors of Number Theory, String Theory and some cosmological parameters.
We describe the construction of string theory models with semirealistic spectrum in a sector of (anti) D3-branes located at an orbifold singularity at the bottom of a highly warped throat geometry, which is a generalisation of the... more
We describe the construction of string theory models with semirealistic spectrum in a sector of (anti) D3-branes located at an orbifold singularity at the bottom of a highly warped throat geometry, which is a generalisation of the Klebanov-Strassler deformed conifold. These models realise the Randall-Sundrum proposal to naturally generate the Planck/electroweak hierarchy in a concrete string theory embedding, and yielding interesting chiral open string spectra. We describe examples with Standard Model gauge group (or left-right symmetric extensions) and three families of SM fermions, with correct quantum numbers including hypercharge. The dilaton and complex structure moduli of the geometry are stabilised by the 3-form fluxes required to build the throat. We describe diverse issues concerning the stabilisation of geometric Kahler moduli, like blow-up modes of the orbifold singularities, via D term potentials and gauge theory non-perturbative effects, like gaugino condensation. This local geometry, once embedded in a full compactification, could give rise to models with all moduli stabilised, and with the potential to lead to de Sitter vacua. Issues of gauge unification, proton stability, supersymmetry breaking and Yukawa couplings are also discussed.
In this paper (part V), we analyze various equations concerning the Isoperimetric Theorems and Stability Properties of Balls. We describe the new possible mathematical connections with some sectors of Number Theory, String Theory and some... more
In this paper (part V), we analyze various equations concerning the Isoperimetric Theorems and Stability Properties of Balls. We describe the new possible mathematical connections with some sectors of Number Theory, String Theory and some cosmological parameters
In this paper (part IV), we describe the further analysis of a fundamental equation concerning the "Ramanujan's Letter to Hardy on 16.1.1913". Furthermore, we obtain the new possible mathematical connections with the Cosmological Constant... more
In this paper (part IV), we describe the further analysis of a fundamental equation concerning the "Ramanujan's Letter to Hardy on 16.1.1913". Furthermore, we obtain the new possible mathematical connections with the Cosmological Constant value in quantum space-time and some topics of String Theory.