English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Holography for Lifshitz space-times corresponds to dual field theories on afixed torsional Newton-Cartan (TNC) background. We examine the coupling ofnon-relativistic field theories to TNC backgrounds and uncover a novelmechanism by which a global U(1) can become local. This involves the TNC vector$M_\mu$ which sources a particle number current, and which for flat NCspace-time satisfies $M_{\mu}=\partial_{\mu}M$ with a Schroedinger symmetryrealized on $M$. We discuss various toy model field theories on flat NCspace-time for which the new mechanism leads to extra global space-timesymmetries beyond the generic Lifshitz symmetry, allowing for an enhancement toSchroedinger symmetry. On the holographic side, the source $M$ also appears inthe Lifshitz vacuum with exactly the same properties as for flat NC space-time.In particular, the bulk diffeomorphisms that preserve the boundary conditionsrealize a Schroedinger algebra on $M$, allowing for a conserved particle numbercurrent. Finally, we present a probe action for a complex scalar field on theLifshitz vacuum, which exhibits Schroedinger invariance in the same manner asseen in the field theory models.

Field Theory on Newton-Cartan Backgrounds and Symmetries of the Lifshitz Vacuum