Hostname: page-component-7bb8b95d7b-pwrkn Total loading time: 0 Render date: 2024-09-13T08:54:30.071Z Has data issue: false hasContentIssue false

The Substantial Role of Weyl Symmetry in Deriving General Relativity from String Theory

Published online by Cambridge University Press:  01 January 2022

Abstract

String theory reduces to general relativity in appropriate regimes. Huggett and Vistarini have given an account of this reduction that includes a deflationary thesis about symmetry: although the usual derivation of general relativity from string theory appeals to a premise about the theory’s symmetry, Huggett and Vistarini argue that this premise plays no logical role. In this article I disagree with their deflationary thesis and argue that their analysis is based on a popular but flawed conception of the interaction between symmetry and quantization. I argue that a better conception recognizes a distinction between ordinary, broken, and anomalous symmetries.

Type
Physical and Mathematical Sciences
Copyright
Copyright 2021 by the Philosophy of Science Association. All rights reserved.

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bertlmann, R. A.. 1996. Anomalies in Quantum Field Theory. Oxford: Clarendon.Google Scholar
Crowther, K. 2018. “Inter-theory Relations in Quantum Gravity: Correspondence, Reduction, and Emergence.” Studies in History and Philosophy of Modern Physics 63:7485.CrossRefGoogle Scholar
Dawid, R. 2013. String Theory and the Scientific Method. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
D’Hoker, E. 1999. “String Theory.” In Quantum Fields and Strings: A Course for Mathematicians, Vol. 2, ed. Deligne, Pierrie et al., 8071012. Providence, RI: American Mathematical Society.Google Scholar
Dougherty, J. 2020. “Large Gauge Transformations and the Strong CP Problem.” Studies in History and Philosophy of Modern Physics 69:5066.CrossRefGoogle Scholar
Healey, R. 2007. Gauging What’s Real. Oxford: Oxford University Press.CrossRefGoogle Scholar
Huggett, N., and Vistarini, T.. 2015. “Deriving General Relativity from String Theory.” Philosophy of Science 82 (5): 1163–74.CrossRefGoogle Scholar
Huggett, N., and Wüthrich, C.. 2013. “Emergent Spacetime and Empirical (In)coherence.” Studies in History and Philosophy of Modern Physics 44 (3): 276–85.CrossRefGoogle Scholar
Monnier, S. 2019. “A Modern Point of View on Anomalies.” Fortschritte der Physik 67 (8–9): 1910012.CrossRefGoogle Scholar
Redhead, M. 2003. “The Interpretation of Gauge Symmetry.” In Symmetries in Physics: Philosophical Reflections, ed. K. Brading and E. Castellani, chap. 7, 124–39. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Schwartz, M. D. 2014. Quantum Field Theory and the Standard Model. Cambridge: Cambridge University Press.Google Scholar
Vistarini, T. 2019. The Emergence of Spacetime in String Theory. London: Routledge.CrossRefGoogle Scholar
Weinberg, S. 1995. The Quantum Theory of Fields. Vol. 1. Cambridge: Cambridge University Press.CrossRefGoogle Scholar