Research PapersNo Access

COMPLEXIFIED SIGMA-MODEL AND DUALITY

J. A. NIETO

Facultad de Ciencias Físico-Matemáticas de la Universidad Autónoma de Sinaloa 80010, Culiacán Sinaloa, México

Mathematical, Computational & Modeling Sciences Center, Arizona State University, P. O. Box 871904, Tempe AZ 85287, USA

https://doi.org/10.1142/S0217732311036139Cited by:0 (Source: Crossref)

Abstract

We show that the equations of motion associated with a complexified sigma-model action do not admit manifest dual SO(n, n) symmetry. In the process we discover new type of numbers which we called "complexoids" in order to emphasize their close relation with both complex numbers and matroids. It turns out that the complexoids allow one to consider the analogue of the complexified sigma-model action but with (1+1)-worldsheet metric, instead of Euclidean-worldsheet metric. Our observations can be useful for further developments of complexified quantum mechanics.

Keywords:

PACS: 04.60.-m, 04.65.+e, 11.15.-q, 11.30.Ly

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