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      From random Regge triangulations to open strings

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          Abstract

          We show how Boundary Conformal Field Theory deformation techniques allow for a complete characterisation of the coupling between the discrete geometry inherited uniformizing a random Regge triangulations and open string theory.

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          Phasing of gravitational waves from inspiralling eccentric binaries

          Thibault Damour, Achamveedu Gopakumar, Bala Iyer (2004)
          We provide a method for analytically constructing high-accuracy templates for the gravitational wave signals emitted by compact binaries moving in inspiralling eccentric orbits. By contrast to the simpler problem of modeling the gravitational wave signals emitted by inspiralling {\it circular} orbits, which contain only two different time scales, namely those associated with the orbital motion and the radiation reaction, the case of {\it inspiralling eccentric} orbits involves {\it three different time scales}: orbital period, periastron precession and radiation-reaction time scales. By using an improved `method of variation of constants', we show how to combine these three time scales, without making the usual approximation of treating the radiative time scale as an adiabatic process. We explicitly implement our method at the 2.5PN post-Newtonian accuracy. Our final results can be viewed as computing new `post-adiabatic' short period contributions to the orbital phasing, or equivalently, new short-period contributions to the gravitational wave polarizations, \(h_{+,\times}\), that should be explicitly added to the `post-Newtonian' expansion for \(h_{+,\times}\), if one treats radiative effects on the orbital phasing of the latter in the usual adiabatic approximation. Our results should be of importance both for the LIGO/VIRGO/GEO network of ground based interferometric gravitational wave detectors (especially if Kozai oscillations turn out to be significant in globular cluster triplets), and for the future space-based interferometer LISA.
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            From Free Fields to \(AdS\) -- III

            Rajesh Gopakumar (2005)
            In previous work we have shown that large \(N\) field theory amplitudes, in Schwinger parametrised form, can be organised into integrals over the stringy moduli space \({\cal M}_{g,n}\times R_{+}^n\). Here we flesh this out into a concrete implementation of open-closed string duality. In particular, we propose that the closed string worldsheet is reconstructed from the unique Strebel quadratic differential that can be associated to (the dual of) a field theory skeleton graph. We are led, in the process, to identify the inverse Schwinger proper times (\(\s_i={1\over \t_i}\)) with the lengths of edges of the critical graph of the Strebel differential. Kontsevich's matrix model derivation of the intersection numbers in moduli space provides a concrete example of this identification. It also exhibits how closed string correlators very naturally emerge from the Schwinger parameter integrals. Finally, to illustrate the utility of our approach to open-closed string duality, we outline a method by which a worldsheet OPE can be directly extracted from the field theory expressions. Limits of the Strebel differential for the four punctured sphere play a key role.
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              Free Field Theory as a String Theory?

              Rajesh Gopakumar (2004)
              An approach to systematically implement open-closed string duality for free large \(N\) gauge theories is summarised. We show how the relevant closed string moduli space emerges from a reorganisation of the Feynman diagrams contributing to free field correlators. We also indicate why the resulting integrand on moduli space has the right features to be that of a string theory on \(AdS\).
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                Author and article information

                Journal
                Publication date Created: 14 February 2007
                Article
                ArXiV ID: hep-th/0702114
                SO-VID: d5f5eda4-b2cc-4f4e-ac40-5aff4e052440
                History
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                Report No QMUL-PH-07-04
                Comments 10 pages. To appear in the proceedings of the 17th SIGRAV Conference on General Relativity and Gravitational Physics (SIGRAV06), Turin, Italy, 04-07 Sep 2006
                Categories hep-th

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