Pure and Applied Mathematics Quarterly

Volume 17 (2021)

Number 3

Special Issue in Honor of Duong H. Phong

Edited by Tristan Collins, Valentino Tosatti, and Ben Weinkove

Anomaly flow and T-duality

Pages: 1083 – 1112

DOI: https://dx.doi.org/10.4310/PAMQ.2021.v17.n3.a11


Teng Fei (Department of Mathematics and Computer Science, Rutgers University, Newark, New Jersey, U.S.A.)

Sebastien Picard (Department of Mathematics, University of British Columbia, Vancouver, B.C., Canada)


In this paper, we study the dual Anomaly flow, which is a dual version of the Anomaly flow under T‑duality. A family of monotone functionals is introduced and used to estimate the dilaton function along the flow. Many examples and reductions of the dual Anomaly flow are worked out in detail.

Received 11 March 2019

Accepted 25 July 2019

Published 14 June 2021