Quantum Deconstruction of 5D SQCD

TL;DR

This paper uses deconstruction to analyze 5D SQCD, providing a non-stringy UV completion, computing quantum corrections, exploring phase transitions, and comparing with brane-web engineering, revealing the inherent 5D nature of the phase structure.

Contribution

It introduces a deconstruction approach as a UV completion for 5D SQCD, allowing quantum corrections and phase analysis without string theory.

Findings

Deconstruction reproduces the phase diagram of brane-web models.

Quantum corrections to the 5D prepotential are computed.

The phase structure is intrinsic to 5D theories, independent of UV completion.

Abstract

We deconstruct the fifth dimension of 5D SCQD with general numbers of colors and flavors and general 5D Chern-Simons level; the latter is adjusted by adding extra quarks to the 4D quiver. We use deconstruction as a non-stringy UV completion of the quantum 5D theory; to prove its usefulness, we compute quantum corrections to the SQCD_5 prepotential. We also explore the moduli/parameter space of the deconstructed SQCD_5 and show that for |K_CS| < N_F/2 it continues to negative values of 1/(g_5)^2. In many cases there are flop transitions connecting SQCD_5 to exotic 5D theories such as E0, and we present several examples of such transitions. We compare deconstruction to brane-web engineering of the same SQCD_5 and show that the phase diagram is the same in both cases; indeed, the two UV completions are in the same universality class, although they are not dual to each other. Hence, the phase structure of an SQCD_5 (and presumably any other 5D gauge theory) is inherently five-dimensional and does not depends on a UV completion.