No go for a flow
- PDF / 501,267 Bytes
- 31 Pages / 595.276 x 841.89 pts (A4) Page_size
- 42 Downloads / 226 Views
Springer
Received: March 2, Revised: April 30, Accepted: May 1, Published: May 22,
2020 2020 2020 2020
Federico Cartaa and Alessandro Mininnob a
Deutches Electronen-Synchrotron, DESY, Notkestraße 85, 22607 Hamburg, Germany b Instituto de F´ısica Te´ orica IFT-UAM/CSIC, C/ Nicol´ as Cabrera 13-15, Campus de Cantoblanco, 28049 Madrid, Spain
E-mail: [email protected], [email protected] Abstract: We prove that a very large class of 15502 general Argyres-Douglas theories cannot admit a UV lagrangian which flows to them via the Maruyoshi-Song supersymmetry enhancement mechanism. We do so by developing a computer program which brute-force lists, for any given 4d N = 2 superconformal theory TIR , all possible UV candidate superconformal lagrangians TUV satisfying some necessary criteria for the supersymmetry enhancement to happen. We argue that this is enough evidence to conjecture that it is impossible, in general, to find new examples of Maruyoshi-Song lagrangians for generalized Argyres-Douglas theories. All lagrangians already known are, on the other hand, recovered and confirmed in our scan. Finally, we also develop another program to compute efficiently Coulomb branch spectrum, masses, couplings and central charges for (G, G0 ) Argyres-Douglas theories of arbitrarily high rank. Keywords: Supersymmetric Gauge Theory, Extended Supersymmetry, Conformal Field Theory ArXiv ePrint: 2002.07816
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP05(2020)108
JHEP05(2020)108
No go for a flow
Contents 1
2 Geometrical engineering for (G, G0 ) theories 2.1 A program to compute central charges
4 5
3 An algorithm to look for candidate UV completions 3.1 The algorithm 3.2 The implementation
7 7 8
4 Results
1
12
Introduction
Four dimensional N = 2 quantum field theories received much interest in the past decades, as the large amount of supersymmetry allows one to perform exact computations even in the strongly coupled regime. Soon after the discovery of Seiberg-Witten solutions [1, 2] it was realized that there exist consistent superconformal quantum field theories that do not admit a local lagrangian description, and are therefore named non-lagrangian theories [3, 4]. With the discovery of Argyres-Seiberg duality [5], it was realized that such non-lagrangian theories are not just exotic sporadic examples of QFTs, but instead they are quite generic, and arise naturally as duals of ordinary lagrangian theories. Furthermore, the set of such non-lagrangian theories has been extremely extended with the class-S construction of Gaiotto [6]. In particular, one interesting set of strongly-coupled superconformal N = 2 nonlagrangian theories are the so called Argyres-Douglas (AD) theories. The defining property of an Argyres-Douglas theory is that it exists at least one Coulomb Branch (CB) operator that has a fractional (non-integer) conformal dimension. Argyres-Douglas theories were originally found to describe the low-energy dynamics at special point in the Coulomb Branch moduli
Data Loading...
