String dualities and toric geometry: An Introduction - INSPIRE

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String dualities and toric geometry: An Introduction

Harald Skarke
(
- Texas U.
)

Jun, 1998

16 pages

Published in:

Chaos Solitons Fractals 10 (1999) 543

e-Print:

hep-th/9806059 [hep-th]

DOI:

10.1016/S0960-0779(98)00161-1

Report number:

UTTG-09-97

View in:

ADS Abstract Service

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Abstract:

This note is supposed to be an introduction to those concepts of toric geometry that are necessary to understand applications in the context of string and F-theory dualities. The presentation is based on the definition of a toric variety in terms of homogeneous coordinates, stressing the analogy with weighted projective spaces. We try to give both intuitive pictures and precise rules that should enable the reader to work with the concepts presented here.

Note:

17 pages, Latex, 7 figures, invited paper to appear in the special issue of the Journal of Chaos, Solitons and Fractals on "Superstrings, M, F, S, ... Theory" (M.S. El Naschie and C. Castro, editors)

string model
supersymmetry
duality
F-theory
geometry: algebra
space-time: torus

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