{ "id": "hep-th/9307158", "version": "v1", "published": "1993-07-26T16:00:00.000Z", "updated": "1993-07-26T16:00:00.000Z", "title": "Topological Amplitudes in String Theory", "authors": [ "I. Antoniadis", "E. Gava", "K. S. Narain", "T. R. Taylor" ], "comment": "31 pages (LATEX) + 2 figures (available upon request as PS file or hardcopy), NUB-3071 - IC/93/202 - CPTH-A258.0793", "journal": "Nucl.Phys. B413 (1994) 162-184", "doi": "10.1016/0550-3213(94)90617-3", "categories": [ "hep-th" ], "abstract": "We show that certain type II string amplitudes at genus $g$ are given by the topological partition function $F_g$ discussed recently by Bershadsky, Cecotti, Ooguri and Vafa. These amplitudes give rise to a term in the four-dimensional effective action of the form $\\sum_g F_g W^{2g}$, where $W$ is the chiral superfield of $N=2$ supergravitational multiplet. The holomorphic anomaly of $F_g$ is related to non-localities of the effective action due to the propagation of massless states. This result generalizes the holomorphic anomaly of the one loop case which is known to lead to non-harmonic gravitational couplings.", "revisions": [ { "version": "v1", "updated": "1993-07-26T16:00:00.000Z" } ], "analyses": { "keywords": [ "topological amplitudes", "string theory", "non-harmonic gravitational couplings", "holomorphic anomaly", "four-dimensional effective action" ], "tags": [ "journal article", "famous paper" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. B" }, "note": { "typesetting": "LaTeX", "pages": 31, "language": "en", "license": "arXiv", "status": "editable", "inspire": 356484 } } }