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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 047, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.047
(Mi sigma1028)
 

This article is cited in 6 scientific papers (total in 6 papers)

Higher Order Deformations of Complex Structures

Eric D'Hokera, Duong H. Phongb

a Department of Physics and Astronomy, University of California, Los Angeles 90024, USA
b Department of Mathematics, Columbia University, New York, NY 10027, USA
Full-text PDF (366 kB) Citations (6)
References:
Abstract: Deformations of complex structures by finite Beltrami differentials are considered on general Riemann surfaces. Exact formulas to any fixed order are derived for the corresponding deformations of the period matrix, Green's functions, and correlation functions in conformal field theories with vanishing total central charge. The stress tensor is shown to give a simple representation of these deformations valid to all orders. Such deformation formulas naturally enter into the evaluation of superstring amplitudes at two-loop order with Ramond punctures, and at higher loop order, in the supergravity formulation of the RNS superstring.
Keywords: Beltrami differentials; deformations of covariant derivatives; stress tensor; conformal invariance.
Received: March 27, 2015; in final form June 15, 2015; Published online June 23, 2015
Bibliographic databases:
Document Type: Article
Language: English
Citation: Eric D'Hoker, Duong H. Phong, “Higher Order Deformations of Complex Structures”, SIGMA, 11 (2015), 047, 14 pp.
Citation in format AMSBIB
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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