Nardelli, Michele (2007) On some mathematical connections concerning the relation between threedimensional gravity related to ChernSimons gauge theory, padic HartleHawking wave function, Rumanujan’s modular functions and some equations describing the Riemann zetafunction. Dip.Sc.Terra e Dip.Mat.Unina. (Unpublished)

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Abstract
In this paper we’ve described some mathematical connections that we’ve obtained between threedimensional gravity related to ChernSimons gauge theory and padic HartleHawking wave function, Ramanujan’s modular functions and some equations describing the Riemann zetafunction.In the section 1, we have described some parts of the threedimensional pure quantum gravity and relation to gauge theory, of the Witten’s paper above mentioned. In the section 2, we have described some equations of the 2+1 dimensional gravity as an exactly soluble system. In the section 3, we have described some equations concerning the three dimensional charged black string solution. In the section 4, we have described some equations concerning a tachyon condensate phase that replaces the spacelike singularity in certain cosmological and black hole spacetimes in string theory. In conclusion, in the section 5, we have described some possible mathematical connections between padic HartleHawking wave function and the arguments above mentioned.
Item Type:  Article 

Subjects:  500 Scienze naturali e Matematica > 510 Matematica 
Depositing User:  Michele Nardelli 
Date Deposited:  25 Sep 2007 
Last Modified:  20 May 2010 12:01 
URI:  http://eprints.bice.rm.cnr.it/id/eprint/440 
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