Properties of the new $$ \mathcal{N} $$ = 1 AdS4 vacuum of maximal supergravity

185

Multi-parametric families of AdS 4 vacua with various amounts of supersymmetry and residual gauge symmetry are found in the [SO(1, 1) × SO(6)] ⋉ R 12 maximal supergravity that arises from the reduction of type IIB supergravity on R × S 5 . These provide natural candidates to holographically describe new strongly coupled three-dimensional CFT's which are localised on interfaces of N = 4 super-Yang-Mills theory. One such AdS 4 vacua features a symmetry enhancement to SU(2) × U(1) while preserving N = 2 supersymmetry. Fetching techniques from the E 7(7) exceptional field theory, its uplift to a class of N = 2 S-folds of type IIB supergravity of the form AdS 4 × S 1 × S 5 involving S-duality twists of hyperbolic type along S 1 is presented.

Section: Z 3 2 Invariant Sectormentioning

confidence: 99%

$$ \mathcal{N} $$ = 2 supersymmetric S-folds

Guarino

Sterckx

Trigiante

2020

185

“…There are ten SO(3)-invariant scalars which all have different masses apart from a pair of two with m = 0. A detailed study of the analytic properties of this new solution is in progress [124]. Remarkably, S1384135, which has only a minimally lower cosmological constant has a Gravitino state that almost would satisfy the Killing spinor equation (no other Gravitino in the long list comes this close) and also has its gauge group -here, U(1) -embedded in a triality-invariant way.…”

Section: +4882181729086557805429315734818179 (31)mentioning

confidence: 99%

SO(8) supergravity and the magic of machine learning

Comşa

Firsching

Fischbacher

2019

Self Cite

106

Using de Wit-Nicolai D = 4 N = 8 SO(8) supergravity as an example, we show how modern Machine Learning software libraries such as Google's TensorFlow can be employed to greatly simplify the analysis of high-dimensional scalar sectors of some M-Theory compactifications. We provide detailed information on the location, symmetries, and particle spectra and charges of 192 critical points on the scalar manifold of SO(8) supergravity, including one newly discovered N = 1 vacuum with SO(3) residual symmetry, one new potentially stabilizable non-supersymmetric solution, and examples for "Galois conjugate pairs" of solutions, i.e. solution-pairs that share the same gauge group embedding into SO(8) and minimal polynomials for the cosmological constant. Where feasible, we give analytic expressions for solution coordinates and cosmological constants.As the authors' aspiration is to present the discussion in a form that is accessible to both the Machine Learning and String Theory communities and allows adopting our methods towards the study of other models, we provide an introductory overview over the relevant Physics as well as Machine Learning concepts. This includes short pedagogical code examples. In particular, we show how to formulate a requirement for residual Supersymmetry as a Machine Learning loss function and effectively guide the numerical search towards supersymmetric critical points. Numerical investigations suggest that there are no further supersymmetric vacua beyond this newly discovered fifth solution.At the moment, the N = 8 Supergravity Theory is the only candidate in sight. There are likely to be a number of crucial calculations within the next few years that have the possibility of showing that the theory is no good. If the theory survives these tests, it will probably be some years more before we develop computational methods that will enable us to make predictions and before we can account for the initial conditions of the universe as well as the local physical laws. These will be the outstanding problems for theoretical physics in the next twenty years or so.But to end on a slightly alarmist note, they may not have much more time than that.At present, computers are a useful aid in research, but they have to be directed by human minds. If one extrapolates their recent rapid rate of development, however, it would seem quite possible that they will take over altogether in theoretical physics. So, maybe the end is in sight for theoretical physicists, if not for theoretical physics. S. Hawking, Conclusion of his 1981 Inaugural lecture [1]"Is the end in sight for theoretical physics?"

“…factors in (A.1) are associated with a (toroidal) orbifold action on T 6 , whereas the Z * 2 factor in (A.3) is identified with an orientifold projection halving the number of supersymmetries [42]. Recently, this sector has also been studied within the context of the SO(8) maximal supergravity [43].…”

Section: The Flows In Ten Dimensionsmentioning

confidence: 99%

Flowing to $$ \mathcal{N} $$ = 3 Chern-Simons-matter theory

Guarino

Tarrío

Varela

2020

New renormalisation group flows of three-dimensional Chern-Simons theories with a single gauge group SU(N ) and adjoint matter are found holographically. These RG flows have an infrared fixed point given by a CFT with N = 3 supersymmetry and SU(2) flavour symmetry. The ultraviolet fixed point is again described by a CFT with either N = 2 and SU(3) symmetry or N = 1 and G 2 symmetry. The gauge/gravity duals of these RG flows are constructed as domain-wall solutions of a gauged supergravity model in four dimensions that enjoys an embedding into massive IIA supergravity. A concrete RG flow that brings a mass deformation of the N = 2 CFT into the N = 3 CFT at low energies is described in detail. arXiv:1910.06866v2 [hep-th] 30 Oct 2019 N = 1 and SU(3) flavour symmetry. The N = 2 and N = 3 gauge/gravity duals have concrete proposals [4] in terms of the field theories of [1, 2] with appropriate superpotentials.A network of BPS domain-wall configurations connecting two supersymmetric AdS 4 solutions with at least SU(3) gauge symmetry was uncovered in [14]. These domain-walls are displayed with black solid lines in Figure 1. The holographic duals of such domain-walls are renormalisation group (RG) flows between two different CFTs with at least SU(3) flavour symmetry. In addition, there are RG flows connecting a non-conformal theory in the ultraviolet (UV) to a CFT in the infrared (IR). The non-conformal theory is identified with the maximally supersymmetric Yang-Mills theory (SYM) in three dimensions deformed with a CS term, and describes the worldvolume of a stack of D2-branes in massive IIA. The domainwalls reaching the D2-branes in the UV are also represented in Figure 1 with black dashed lines. Flows involving the N = 3 CFT with SU(2) ≡ SO(3) R flavour symmetry as a fixed point were excluded from the analysis of [14]. The purpose of this paper is to fill this gap. We will show that this N = 3 CFT can serve as an IR fixed point by constructing new domain-wall solutions that end at this critical point. A natural, simplifying assumption is to request that the flows preserve the SO(3) R flavour of the IR phase. The SO(3) R -invariant sector of N = 8 ISO(7) supergravity that we recently constructed in [15] is thus the natural arena to construct these solutions.