Synopsis: Two is good, four is better

Connections relating mathematical models of quantum particles in four and two spacetime dimensions could simplify calculations in quantum field theories.
Synopsis figure
Credit: Jeff Weeks/Wikipedia

Over the last 30 years, theorists have made efforts to generalize quantum field theories using the idea of supersymmetry—a theory that says every fermion has a superpartner boson, and vice versa. A leading motivation behind these studies is to use supersymmetry to extract lessons of broader significance that may apply to realistic quantum field theories, even though supersymmetry may not be an actual symmetry of nature. However, even with the simplifying powers of supersymmetry in place, making exact statements about quantum field theories in the physically interesting case of four spacetime dimensions has proven notoriously difficult.

Now, in a paper published in Physical Review Letters, Abhijit Gadde and collaborators from the Yang Institute for Theoretical Physics at Stony Brook University, US, show that a certain partition function, of a class of supersymmetric field theories in four dimensions, is exactly equal to that of a nonsupersymmetric field theory in two spacetime dimensions. Since field theories in two dimensions are much simpler than their four-dimensional counterparts—many of them are in fact exactly solvable—this map offers a potentially potent computational tool. Also, from a purely mathematical point of view, Gadde et al.’s findings may shed some light on the geometric and topological structures that underlie these field theories in different spacetime dimensions. – Abhishek Agarwal


More Announcements »

Subject Areas

Particles and Fields

Previous Synopsis

Next Synopsis

Biological Physics

The DNA also collapses

Read More »

Related Articles

Synopsis: Trailing the Photons from Neutron Decay
Nuclear Physics

Synopsis: Trailing the Photons from Neutron Decay

A high-precision measurement of the photons emitted by neutron decays brings researchers closer to a new test of the standard model. Read More »

Focus: Low Cost Polarized Positrons
Particles and Fields

Focus: Low Cost Polarized Positrons

A new technique requires much less energy to produce a beam of polarized positrons than previous techniques, making such beams potentially more widely available. Read More »

Synopsis: Lightweight Particles Might Explain Missing Lithium

Synopsis: Lightweight Particles Might Explain Missing Lithium

The apparent lack of lithium in the Universe, relative to theoretical expectations, could be explained by hypothetical lightweight and electrically neutral particles. Read More »

More Articles