Two Loop Superstring Amplitudes and S6 Representations

@article{Cacciatori2007TwoLS,
  title={Two Loop Superstring Amplitudes and S6 Representations},
  author={Sergio Luigi Cacciatori and Francesco Dalla Piazza},
  journal={Letters in Mathematical Physics},
  year={2007},
  volume={83},
  pages={127-138}
}
In this paper we describe how representation theory of groups can be used to shorten the derivation of two loop partition functions in string theory, giving an intrinsic description of modular forms appearing in the results of D’Hoker and Phong (Nucl Phys B639:129–181, 2002). Our method has the advantage of using only algebraic properties of modular functions and it can be extended to any genus g. 
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23 Citations
Background Citations
3
Methods Citations
3

23 Citations

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References

SHOWING 1-10 OF 13 REFERENCES

Modular Forms and Two Loop String Physics

Two- and three-loop amplitudes in the bosonic string theory

Two-loop superstrings.: I. Main formulas

Lectures on two loop superstrings

In these lectures, recent progress on multiloop superstring perturbation theory is reviewed. A construction from first principles is given for an unambiguous and slice-independent two-loop…

Algebraic Geometry and the Geometry of Quantum Strings

Two-loop superstrings II. The chiral measure on moduli space

Explicit formulae for one-, two-, three- and four-loop string amplitudes

Theta Functions on Riemann Surfaces

Riemann's theta function.- The prime-form.- Degenerate Riemann surfaces.- Cyclic unramified coverings.- Ramified double coverings.- Bordered Riemann surfaces.

Tata Lectures on Theta I

and motivation: theta functions in one variable.- Basic results on theta functions in several variables.

Theta functions with applications to Riemann surfaces