Reparameterization invariance in gravity

Asked Nov 22 '23 at 08:22

Active Nov 22 '23 at 08:53

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It's often said that gravity/general relativity has 'reparameterization invariance.' In particular, this comes up when people talk about the duality between the Sachdev-Ye-Kitaev (SYK) model and Jackiw-Teitelboim gravity, and is apparently key. But I never came across this term when studying general relativity (I worked through Bernard Schutz's 'A First Course in General Relativity' a long time ago).

So, at the level of someone with a semester of GR under their belt, what is reparameterization invariance, and what is its significance in relation to the SYK model?

edited Nov 22 '23 at 08:53

Qmechanic

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asked Nov 22 '23 at 08:22

user34722

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See Why is there a “problem of time” in Quantum Gravity? It doesn't discuss the SYK model but it does explain reparameterisation in basic terms. – John Rennie Nov 22 '23 at 08:44
Hi user34722: Which reference? Which page? – Qmechanic Nov 22 '23 at 08:52
Well it's mostly from conversation with people who work in adjacent fields. Subir Sachdev did emphasize it strongly when I saw him give a talk a few years ago (who is a prominent researcher at the interface of High energy physics and condensed matter). For a reference, this review I haven't read yet mentions it on page 15. https://arxiv.org/abs/1711.08482 – user34722 Nov 23 '23 at 21:21

Reparameterization invariance in gravity

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