9,704 research outputs found
K\"ahler Potential of Moduli Space of Calabi-Yau -fold embedded in
We study a kaehler potential K of a one parameter family of Calabi-Yau d-fold
embedded in CP^{d+1}. By comparing results of the topological B-model and the
data of the CFT calculation at Gepner point, the K is determined unambiguously.
It has a moduli parameter psi that describes a deformation of the CFT by a
marginal operator. Also the metric, curvature and hermitian two-point functions
in the neighborhood of the Gepner point are analyzed. We use a recipe of tt^{*}
fusion and develop a method to determine the K from the point of view of
topological sigma model. It is not restricted to this specific model and can be
applied to other Calabi-Yau cases.Comment: 10 pages, 2 figure
AdS_3/CFT_2 Correspondence and Space-Time N=3 Superconformal Algebra
We study a Wess-Zumino-Witten model with target space AdS_3 x (S^3 x S^3 x
S^1)/Z_2. This allows us to construct space-time N=3 superconformal theories.
By combining left-, and right-moving parts through a GSO and a Z_2 projections,
a new asymmetric (N,\bar{N})=(3,1) model is obtained. It has an extra gauge
(affine) SU(2) symmetry in the target space of the type IIA string. An
associated configuration is realized as slantwise intersecting M5-M2 branes
with a Z_2-fixed plane in the M-theory viewpoint.Comment: 27 pages, 1 figure, final versio
Error probability analysis in quantum tomography: a tool for evaluating experiments
We expand the scope of the statistical notion of error probability, i.e., how
often large deviations are observed in an experiment, in order to make it
directly applicable to quantum tomography. We verify that the error probability
can decrease at most exponentially in the number of trials, derive the explicit
rate that bounds this decrease, and show that a maximum likelihood estimator
achieves this bound. We also show that the statistical notion of
identifiability coincides with the tomographic notion of informational
completeness. Our result implies that two quantum tomographic apparatuses that
have the same risk function, (e.g. variance), can have different error
probability, and we give an example in one qubit state tomography. Thus by
combining these two approaches we can evaluate, in a reconstruction independent
way, the performance of such experiments more discerningly.Comment: 14pages, 2 figures (an analysis of an example is added, and the proof
of Lemma 2 is corrected
Dependence of the leptonic decays of H^- on the neutrino mixing angles theta_{13} and theta_{23} in models with neutrinophilic charged scalars
In the Higgs Triplet Model and the neutrinophilic Two-Higgs-Doublet Model the
observed neutrinos obtain mass from a vacuum expectation value which is much
smaller than the vacuum expectation value of the Higgs boson in the Standard
Model. Both models contain a singly charged Higgs boson (H^-) whose Yukawa
coupling is directly related to the neutrino mass (i.e. a "neutrinophilic
charged Higgs"). The partial decay widths of H^- into a charged lepton and a
neutrino (H^- to l^- nu) depend identically on the neutrino masses and mixings
in the two models. We quantify the impact of the recent measurement of
sin^2(2theta_{13}), which plays a crucial role in determining the magnitude of
the branching ratio of H^- to e^- nu for the case of a normal neutrino mass
ordering if the lightest neutrino mass m_0 < 10^{-3} eV. We also discuss the
sizeable dependence of H^- to mu^- nu and H^- to tau^- nu on sin^2(theta_{23}),
which would enable information to be obtained on sin^2(theta_{23}) and the sign
of \Delta m^2_{31} if these decays are measured. Such information would help
neutrino oscillation experiments to determine the CP-violating phase \delta.Comment: 17 pages, 6 figure
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