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/

Zendy Plus

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

Zendy Tools

Zendy Open

The low energy spectrum of a spin chain with $OSp(3|2)$ supergroup symmetryis studied based on the Bethe ansatz solution of the related vertex model. Thismodel is a lattice realization of intersecting loops in two dimensions withloop fugacity $z=1$ which provides a framework to study the critical propertiesof the unusual low temperature Goldstone phase of the $O(N)$ sigma model for$N=1$ in the context of an integrable model. Our finite-size analysis providesstrong evidence for the existence of continua of scaling dimensions, the lowestof them starting at the ground state. Based on our data we conjecture that theso-called watermelon correlation functions decay logarithmically with exponentsrelated to the quadratic Casimir operator of $OSp(3|2)$. The presence of acontinuous spectrum is not affected by a change to the boundary conditionsalthough the density of states in the continua appears to be modified.

Finite-size effects in the spectrum of the $OSp(3|2)$ superspin chain