## Abstract We study random recursive constructions in which the contracting vectors have different distributions at different stages. With such constructions, the one parameter family of martingales are introduced and the probabilistic behaviours of the limit random objects (not identically distri
Equivalence of Geometric Engineering and Hanany-Witten Constructions
โ Scribed by Douglas J. Smith
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 53 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0015-8208
No coin nor oath required. For personal study only.
โฆ Synopsis
We show the equivalence of three different realisations of gauge theory in string theory. These are the Hanany-Witten brane constructions, the use of branes as probes and geometric engineering. We illustrate the equivalence via T-and S-dualities with the simplest non-trivial examples in four dimensions: N = 2 SYM with gauge groups SU ( N i ).
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