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Is there a relation between the 2D Causal Set action and the Lorentzian Gauss-Bonnet theorem?

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, , Citation Dionigi M T Benincasa 2011 J. Phys.: Conf. Ser. 306 012040 DOI 10.1088/1742-6596/306/1/012040

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1 Theoretical Physics Group, Blackett Laboratory, Imperial College, Prince Consort Rd., London SW7 2AZ, UK

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1742-6596/306/1/012040

Abstract

We investigate the relation between the two dimensional Causal Set action, Script S, and the Lorentzian Gauss-Bonnet theorem (LGBT). We give compelling reasons why the answer to the title's question is no. In support of this point of view we calculate the causal set inspired action of causal intervals in some two dimensional spacetimes: Minkowski, the flat cylinder and the flat trousers.

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