Advances in Theoretical and Mathematical Physics

String universality in six dimensions

Vijay Kumar and Washington Taylor

Full-text: Open access

Abstract

In six dimensions, cancellation of gauge, gravitational, and mixed anomalies strongly constrains the set of quantum field theories, which can be coupled consistently to gravity. We show that for some classes of six-dimensional (6D) supersymmetric gauge theories coupled to gravity, the anomaly cancellation conditions are equivalent to tadpole cancellation and other constraints on the matter content of heterotic/type I compactifications on K3. In these cases, all consistent 6D supergravity theories have a realization in string theory. We find one example that may arise from a novel string compactification, and we identify a new infinite family of models satisfying anomaly factorization. We find, however, that this infinite family of models, as well as other infinite families of models previously identified by Schwarz are pathological. We suggest that it may be feasible to demonstrate that there is a string theoretic realization of all consistent 6D supergravity theories which have Lagrangian descriptions with arbitrary gauge and matter content. We attempt to frame this hypothesis of string universality as a concrete conjecture.

Article information

Source
Adv. Theor. Math. Phys., Volume 15, Number 2 (2011), 325-353.

Dates
First available in Project Euclid: 25 May 2012

Permanent link to this document
https://projecteuclid.org/euclid.atmp/1337951926

Mathematical Reviews number (MathSciNet)
MR2924233

Zentralblatt MATH identifier
1259.81062

Citation

Kumar, Vijay; Taylor, Washington. String universality in six dimensions. Adv. Theor. Math. Phys. 15 (2011), no. 2, 325--353. https://projecteuclid.org/euclid.atmp/1337951926


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