Work

Exact Slope and Interpolating Functions in N=6 Supersymmetric Chern-Simons Theory

Year: 2014

Type: article

Abstract: Using the quantum spectral curve approach we compute, exactly, an observable (called slope function) in the planar Aharony-Bergman-Jafferis-Maldacena theory in terms of an unknown interpolating function h(λ) which plays the role of the coupling in any integrability based calculation in this theory. We verified our results with known weak coupling expansion in the gauge theory and with the results of semiclassical string calculations. Quite surprisingly at strong coupling the result is given by an explicit rational function of h(λ) to all orders. By comparing the structure of our result with that of an exact localization based calculation for a similar observable in Marino and Putrov [J. High Energy Phys. 06 (2010) 011], we conjecture an exact expression for h(λ).

Source: Physical Review Letters

DOI: 10.1103/physrevlett.113.121601

Authors: Nikolay Gromov, Grigory Sizov

Institutions: King's College London, Petersburg Nuclear Physics Institute

Language: Latvian

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Science and Technology Facilities Council, Research Executive Agency

Awards: G2095994118, G3412617811, G608922719, Symmetries, Supersymmetries, Strings and Spacetime: the search for a fundamental theory of physics., Symmetry, supersymmetry, strings, branes and gauge theories; physics from the Planck to the QCD scale.