Two-Loop Superstrings I, Main Formulas
| dc.creator | D'Hoker, Eric | |
| dc.creator | Phong, D. H. | |
| dc.date | 2001-10-26 | |
| dc.date | 2001-12-24 | |
| dc.date.accessioned | 2026-07-07T10:53:41Z | |
| dc.date.available | 2026-07-07T10:53:41Z | |
| dc.description | An unambiguous and slice-independent formula for the two-loop superstring measure on moduli space for even spin structure is constructed from first principles. The construction uses the super-period matrix as moduli invariant under worldsheet supersymmetry. This produces new subtle contributions to the gauge-fixing process, which eliminate all the ambiguities plaguing earlier gauge-fixed formulas. The superstring measure can be computed explicitly and a simple expression in terms of modular forms is obtained. For fixed spin structure, the measure exhibits the expected behavior under degenerations of the surface. 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 all vanish pointwise on moduli space without the appearance of boundary terms. A certain disconnected part of the 4-point function is shown to be given by a convergent, finite integral on moduli space. A general slice-independent formula is given for the two-loop cosmological constant in compactifications with central charge c=15 and N=1 worldsheet supersymmetry in terms of the data of the compactification conformal field theory. In this paper, a summary of the above results is presented with detailed constructions, derivations and proofs to be provided in a series of subsequent publications. | |
| dc.description | 21 pages, no figures, references added, minor typos corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0110247 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0110247 | |
| dc.identifier | Phys.Lett.B529:241-255,2002 | |
| dc.identifier | doi:10.1016/S0370-2693(02)01255-8 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/185565 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Complex Variables | |
| dc.title | Two-Loop Superstrings I, Main Formulas | |
| dc.type | text |