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ЖУРНАЛЫ // Symmetry, Integrability and Geometry: Methods and Applications // Архив

SIGMA, 2015, том 11, 047, 14 стр. (Mi sigma1028)

Эта публикация цитируется в 5 статьях

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

Аннотация: 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.

Ключевые слова: Beltrami differentials; deformations of covariant derivatives; stress tensor; conformal invariance.

MSC: 32G05; 51M15; 51P05; 53Z05

Поступила: 27 марта 2015 г.; в окончательном варианте 15 июня 2015 г.; опубликована 23 июня 2015 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2015.047



Реферативные базы данных:
ArXiv: 1502.03673


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