Comparing dualities and gauge symmetries


Authors
Jeremy Butterfield
Cambridge University
Nicholas Teh
University of Notre Dame
Abstract
We discuss some aspects of the relation between dualities and gauge symmetries. Both of these ideas are of course multi-faceted, and we confine ourselves to making two points. Both points are about dualities in string theory, and both have the ‘flavour’ that two dual theories are ‘closer in content’ than you might think. For both points, we adopt a simple conception of a duality as an ‘isomorphism’ between theories: more precisely, as appropriate bijections between the two theories’ sets of states and sets of quantities. The first point is that this conception of duality meshes with two dual theories being ‘gauge related’ in the general philosophical sense of being physically equivalent. For a string duality, such as T-duality and gauge/gravity duality, this means taking such features as the radius of a compact dimension, and the dimensionality of spacetime, to be ‘gauge’. The second point is much more specific. We give a result about gauge/gravity duality that shows its relation to gauge symmetries to be subtler than you might expect. For gauge theories, you might expect that the duality bijections relate only gauge-invariant quantities and states, in the sense that gauge symmetries in one theory will be unrelated to any symmetries in the other theory. This may be so in general; and indeed, it is suggested by discussions of Polchinski and Horowitz. But we show that in gauge/gravity duality, each of a certain class of gauge symmetries in the gravity/bulk theory, viz. diffeomorphisms, is related by the duality to a position-dependent symmetry of the gauge/boundary theory.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1016/j.shpsb.2016.03.001
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 38,878
Through your library

References found in this work BETA

Glymour and Quine on Theoretical Equivalence.Thomas William Barrett & Hans Halvorson - 2016 - Journal of Philosophical Logic 45 (5):467-483.
Dualities and Emergent Gravity: Gauge/Gravity Duality.Sebastian de Haro - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 59:109-125.
Dualities of Fields and Strings.Joseph Polchinski - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 59:6-20.
Emergence in Holographic Scenarios for Gravity.Dennis Dieks, Jeroen van Dongen & Sebastian de Haro - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (Part B):203-216.

View all 17 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Gauge Symmetry Breaking in Gauge Theories—in Search of Clarification.Simon Friederich - 2013 - European Journal for Philosophy of Science 3 (2):157-182.
Dualities and Emergent Gravity: Gauge/Gravity Duality.Sebastian de Haro - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 59:109-125.
A Note on Rovelli’s ‘Why Gauge?’.Nicholas J. Teh - 2015 - European Journal for Philosophy of Science 5 (3):339-348.
The Empirical Status of Symmetries in Physics.P. Kosso - 2000 - British Journal for the Philosophy of Science 51 (1):81-98.
Gauge Invariant Accounts of the Higgs Mechanism.Ward Struyve - 2011 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 42 (4):226-236.
Gravity and Gauge Theory.Steven Weinstein - 1998 - Philosophy of Science 66 (3):155.
The Gauge-String Duality and Heavy Ion Collisions.Steven S. Gubser - 2013 - Foundations of Physics 43 (1):140-155.
Classical Canonical General Coordinate and Gauge Symmetries.D. C. Salisbury - 1998 - Foundations of Physics 28 (9):1425-1431.
Why Gauge?Carlo Rovelli - 2014 - Foundations of Physics 44 (1):91-104.
Understanding Gauge.James Owen Weatherall - 2016 - Philosophy of Science 83 (5):1039-1049.
Time-Dependent Symmetries: The Link Between Gauge Symmetries and Indeterminism.David Wallace - 2002 - In Katherine Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. Cambridge University Press. pp. 163--173.

Analytics

Added to PP index
2016-03-31

Total views
54 ( #131,903 of 2,318,378 )

Recent downloads (6 months)
10 ( #97,309 of 2,318,378 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature