Lectures on Two-Loop Superstrings

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dc.creatorD'Hoker, Eric
dc.creatorPhong, D. H.
dc.date2002-11-12
dc.date.accessioned2026-07-07T08:50:44Z
dc.date.available2026-07-07T08:50:44Z
dc.descriptionIn 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 superstring measure on moduli space for even spin structure. A consistent choice of moduli, invariant under local worldsheet supersymmetry is made in terms of the super-period matrix. A variety of subtle new contributions arising from a careful gauge fixing procedure are taken into account. The superstring measure is computed explicitly in terms of genus two theta-functions and reveals the importance of a new modular object of weight 6. For given even spin structure, the measure exhibits a behavior under degenerations of the worldsheet that is consistent with physical principles. The measure allows for a unique modular covariant GSO projection. Under this GSO projection, the cosmological constant, the 1-, 2- and 3- point functions of massless supergravitons vanish pointwise on moduli space. A certain disconnected part of the 4-point function is shown to be given by a convergent integral on moduli space. A general consistent formula is given for the two-loop cosmological constant in compactifications with central charge c=15 and with N=1 worldsheet supersymmetry. Finally, some comments are made on possible extensions of this work to higher loop order.
dc.description37 pages, 3 figures, Lectures delivered at Hangzhou and Beijing 2002
dc.identifierhttps://arxiv.org/abs/hep-th/0211111
dc.identifierhttp://arxiv.org/abs/hep-th/0211111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144703
dc.subjectHigh Energy Physics - Theory
dc.subjectComplex Variables
dc.titleLectures on Two-Loop Superstrings
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