Educação matemática pela arte
Gusmão, Lucimar Donizete
2013-08-28
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Comment: 26 pages, latex, minor modification in the introduction section
[[abstract]]Abstract
This paper consists of four parts. Firstly, we explain how to calculate the degrees of
freedom in bosonic open string theory. We then calculate the zero-norm states at mass
level m^2 = 8. This calculation provides a concrete example for the formula of count-
ing between degrees of freedom in the book [1]. Moreover, we give an explicit answer to show the existence of zero-norm state degeneracy at m^2 = 8.
Secondly, we show the gauge transformations on the positive-norm states at mass level m^2 = 6. Thus, explaining all the
equivalent representations of positive-norm states are indeed differ by zero-norm states.
Thirdly, we check the stringy Ward identities for one massive tensor scattering with 4 tachyon states, and we find an interesting connection between 5-point Ward identities
and recursion relations of hypergeo...
Comment: 47 pages, 6 figures; references added v2
The Stokes multipliers in the matrix models are invariants in the
string-theory moduli space and related to the D-instanton chemical potentials.
They not only represent non-perturbative information but also play an important
role in connecting various perturbative string theories in the moduli space.
They are a key concept to the non-perturbative completion of string theory and
also expected to imply some remnant of strong coupling dynamics in M theory. In
this paper, we investigate the non-perturbative completion problem consisting
of two constraints on the Stokes multipliers. As the first constraint, Stokes
phenomena which realize the multi-cut geometry are studied in the Z_k symmetric
critical points of the multi-cut two-matrix models. Sequence of solutions to
the constraints are obtained in general k-cut critical points. A discre...
Comment: 43 pages, 3 figures; v2:references and comments added (footnote 24)
We extensively study BPS solutions of the low energy effective theory of
M5-brane in large C-field background. This provides us an opportunity to
explore the interactions turned on by C-field background through the
Nambu-Poisson structure. The BPS states considered in this paper include the
M-waves, the self-dual string (M2 ending on M5), tilted M5-brane, holomorphic
embedding of M5-brane and the intersection of two M5-branes along a 3-brane.
Comment: v1: 5 pages, 2 figures; v2: references and footnote added
Comment: 46 pages, 3 figures; v2: 51 pages, 7 figures, notations changed,
explanations in Section 2.4 extended, figures for topology of the curves
added, Appendix E added, final version to appear in Nucl. Phys. B
[[abstract]]Abstract
This paper consists of four parts. Firstly, we explain how to calculate the degrees of
freedom in bosonic open string theory. We then calculate the zero-norm states at mass
level m^2 = 8. This calculation provides a concrete example for the formula of count-
ing between degrees of freedom in the book [1]. Moreover, we give an explicit answer to show the existence of zero-norm state degeneracy at m^2 = 8.
Secondly, we show the gauge transformations on the positive-norm states at mass level m^2 = 6. Thus, explaining all the
equivalent representations of positive-norm states are indeed differ by zero-norm states.
Thirdly, we check the stringy Ward identities for one massive tensor scattering with 4 tachyon states, and we find an interesting connection between 5-point Ward identities
and recursion relations of hypergeo...
