Supersymmetry breaking deformations and phase transitions in five dimensions

Bertolini, Matteo; Mignosa, Francesco

doi:10.1007/jhep10(2021)244

Cited by 15 publications

(38 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where O and O are non-trivial Ē N = 2 chiral primaries that can acquire non-vanishing vevs, O , O = 0. The main reason we expect the above normal-ordered products to not vanish is that the entire Ĉ0(0,0) multiplet can be unambiguously tracked along any N = 2preserving RG flow since it contains the stress tensor [33,34] (see also [35] and [36] for 4D N = 1 and 5D N = 1 discussions respectively). Since O and O can also be tracked along an RG flow to the Coulomb branch, 29 we can track the above OPEs to the Coulomb branch where they are guaranteed to be non-vanishing as in the single vector multiplet case discussed in the previous section.…”

Section: Jhep08(2022)132mentioning

confidence: 99%

On the protected spectrum of the minimal Argyres-Douglas theory

Bhargava

Buican

Jiang

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

Despite the power of supersymmetry, finding exact closed-form expressions for the protected operator spectra of interacting superconformal field theories (SCFTs) is difficult. In this paper, we take a step towards a solution for the “simplest” interacting 4D $$ \mathcal{N} $$ N = 2 SCFT: the minimal Argyres-Douglas (MAD) theory. We present two results that go beyond the well-understood Coulomb branch and Schur sectors. First, we find the exact closed-form spectrum of multiplets containing operators that are chiral with respect to any $$ \mathcal{N} $$ N = 1 ⊂ $$ \mathcal{N} $$ N = 2 superconformal subalgebra. We argue that this “full” chiral sector (FCS) is as simple as allowed by unitarity for a theory with a Coulomb branch and that, up to a rescaling of U(1)r quantum numbers and the vanishing of a finite number of states, the MAD FCS is isospectral to the FCS of the free $$ \mathcal{N} $$ N = 2 Abelian gauge theory. In the language of superconformal representation theory, this leaves only the spectrum of the poorly understood $$ {\overline{\mathcal{C}}}_{R,{r}_{\left(j,\overline{j}\right)}} $$ C ¯ R , r j j ¯ multiplets to be determined. Our second result sheds light on these observables: we find an exact closed-form answer for the number of $$ {\overline{\mathcal{C}}}_{0,{r}_{\left(j,0\right)}} $$ C ¯ 0 , r j 0 multiplets, for any r and j, in the MAD theory. We argue that this sub-sector is also as simple as allowed by unitarity for a theory with a Coulomb branch and that there is a natural map to the corresponding sector of the free $$ \mathcal{N} $$ N = 2 Abelian gauge theory. These results motivate a conjecture on the full local operator algebra of the MAD theory.

show abstract

Section: Jhep08(2022)132mentioning

confidence: 99%

On the protected spectrum of the minimal Argyres-Douglas theory

Bhargava

Buican

Jiang

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…In addition, the paper [11] proposes that such a fixed point can be found in the IR limit of an RG flow starting from a known superconformal field theory, see also [12]. On the other hand, attempts to directly find and study this theory using lattice models have so-far been inconclusive [13,14], see also [15][16][17][18][19][20][21] for exploration with a compact dimension and [22] for non-Lorentz invariant extensions.…”

Section: Jhep12(2021)076mentioning

confidence: 99%

Searching for continuous phase transitions in 5D SU(2) lattice gauge theory

Florio

Lopes

Matos

et al. 2021

J. High Energ. Phys.

View full text Add to dashboard Cite

We study the phase diagram of 5-dimensional SU(2) Yang-Mills theory on the lattice. We consider two extensions of the fundamental plaquette Wilson action in the search for the continuous phase transition suggested by the 4 + ϵ expansion. The extensions correspond to new terms in the action: i) a unit size plaquette in the adjoint representation or ii) a two-unit sided square plaquette in the fundamental representation. We use Monte Carlo to sample the first and second derivative of the entropy near the confinement phase transition, with lattices up to 125. While we exclude the presence of a second order phase transition in the parameter space we sampled for model i), our data is not conclusive in some regions of the parameter space of model ii).

show abstract

“…On the other hand, results consistent with the existence of non-supersymmetric 5d CFTs were found in [5][6][7][8] and [9], and AdS 8 duals for non-supersymmetric 7d CFTs were proposed in [10]. An RG flow ending in a nonsupersymmetric 5d CFT was conjectured in [11], though an instability was identified in [12].…”

mentioning

confidence: 81%

Non-supersymmetric AdS$_6$ and the swampland

Apruzzi,

De Luca,

Monaco

et al. 2021

Preprint

View full text Add to dashboard Cite

We discuss infinite families of non-supersymmetric AdS 6 solutions in Type IIB string theory. They are siblings of supersymmetric solutions which are associated with (p, q) 5-brane webs and holographically dual to 5d SCFTs engineered by those brane webs. The non-supersymmetric backgrounds carry identical 5-brane charges and are connected to the supersymmetric ones by RG flows. We study the stability of the non-supersymmetric solutions, identifying perturbative and non-perturbative decay channels for all the backgrounds explicitly available. We also identify likely decay mechanisms for solutions that have not been constructed explicitly but may be expected to exist based on brane web considerations. Finally, we exclude scale separation by constructing universal spin 2 modes with masses comparable to the mass-scale of the cosmological constant.

show abstract

Supersymmetry breaking deformations and phase transitions in five dimensions

Cited by 15 publications

References 52 publications

On the protected spectrum of the minimal Argyres-Douglas theory

On the protected spectrum of the minimal Argyres-Douglas theory

Searching for continuous phase transitions in 5D SU(2) lattice gauge theory

Non-supersymmetric AdS$_6$ and the swampland

Contact Info

Product

Resources

About