UV completions for non-critical strings

Apruzzi, Fabio; Haßler, Falk; Heckman, Jonathan J.; Melnikov, Ilarion V.

doi:10.1007/jhep07(2016)045

Cited by 38 publications

(105 citation statements)

References 75 publications

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“…As noted in reference [54], decoupling gravity can sometimes leave behind some coupling to dynamical breathing modes. The symptom of this fact in 6D SCFTs is that on the tensor branch, gauge couplings are dynamical.…”

Section: N = (0 2) Dglsms From Seven-branesmentioning

confidence: 97%

“…In accord with our 2d N = (0, 2) conventions used in reference [54], we refer to fermions with spin +1/2 by a − subscript, i.e. λ − , and fermions with spin −1/2 by a + subscripts, i.e.…”

Section: Twisting a 6d Scftmentioning

confidence: 99%

“…Thankfully, the effective field theory obtained from reduction of intersecting seven-branes on Kähler threefolds has already been determined in the context of compactifications of F-theory on a Calabi-Yau fivefold [54,84] (see also [85][86][87][88]). As noted in reference [54], decoupling gravity can sometimes leave behind some coupling to dynamical breathing modes.…”

Section: N = (0 2) Dglsms From Seven-branesmentioning

confidence: 99%

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From 6D superconformal field theories to dynamic gauged linear sigma models

Apruzzi¹,

Haßler²,

Heckman³

et al. 2017

Phys. Rev. D

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Compactifications of 6D superconformal field theories (SCFTs) on four-manifolds generate a large class of novel 2d quantum field theories. We consider in detail the case of the rank one simple non-Higgsable cluster 6D SCFTs. On the tensor branch of these theories, the gauge group is simple and there are no matter fields. For compactifications on suitably chosen Kähler surfaces, we present evidence that this provides a method to realize 2d SCFTs with N = (0, 2) supersymmetry. In particular, we find that reduction on the tensor branch of the 6D SCFT yields a description of the same 2d fixed point that is described in the UV by a gauged linear sigma model (GLSM) in which the parameters are promoted to dynamical fields, that is, a "dynamic GLSM" (DGLSM). Consistency of the model requires the DGLSM to be coupled to additional non-Lagrangian sectors obtained from reduction of the anti-chiral two-form of the 6D theory. These extra sectors include both chiral and anti-chiral currents, as well as spacetime filling non-critical strings of the 6D theory. For each candidate 2d SCFT, we also extract the left-and right-moving central charges in terms of data of the 6D SCFT and the compactification manifold. *

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Section: N = (0 2) Dglsms From Seven-branesmentioning

confidence: 97%

Section: Twisting a 6d Scftmentioning

confidence: 99%

Section: N = (0 2) Dglsms From Seven-branesmentioning

confidence: 99%

See 1 more Smart Citation

From 6D superconformal field theories to dynamic gauged linear sigma models

Apruzzi¹,

Haßler²,

Heckman³

et al. 2017

Phys. Rev. D

Self Cite

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“…they explicitly arise in heterotic orbifold compactifications to 2D (see e.g. [87][88][89][90][91][92][93]). In Type II orientifolds there may be branes (D-strings in the 2D case) localized on the fixed points, leading to additional massless particles in the 2D theory.…”

Section: Twisted Sectorsmentioning

confidence: 99%

AdS-phobia, the WGC, the Standard Model and Supersymmetry

Gonzalo

Herráez

Ibáñez

2018

J. High Energ. Phys.

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It has been recently argued that an embedding of the SM into a consistent theory of quantum gravity may imply important constraints on the mass of the lightest neutrino and the cosmological constant Λ 4 . The constraints come from imposing the absence of any non-SUSY AdS stable vacua obtained from any consistent compactification of the SM to 3 or 2 dimensions. This condition comes as a corollary of a recent extension of the Weak Gravity Conjecture (WGC) by Ooguri and Vafa. In this paper we study T 2 /Z N compactifications of the SM to two dimensions in which SM Wilson lines are projected out, leading to a considerable simplification. We analyze in detail a T 2 /Z 4 compactification of the SM in which both complex structure and Wilson line scalars are fixed and the potential is only a function of the area of the torus a 2 . We find that the SM is not robust against the appearance of AdS vacua in 2D and hence would be by itself inconsistent with quantum gravity. On the contrary, if the SM is embedded at some scale M SS into a SUSY version like the MSSM, the AdS vacua present in the non-SUSY case disappear or become unstable. This means that WGC arguments favor a SUSY version of the SM, independently of the usual hierarchy problem arguments. In a T 2 /Z 4 compactification in which the orbifold action is embedded into the B − L symmetry the bounds on neutrino masses and the cosmological constant are recovered. This suggests that the MSSM should be extended with a U(1) B−L gauge group. In other families of vacua the spectrum of SUSY particles is further constrained in order to avoid the appearance of new AdS vacua or instabilities. We discuss a possible understanding of the little hierarchy problem in this context.

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“…Finding an explicit gravitational flow usually requires the knowledge of the full 10 dimensional geometry. A rich variety of examples has been worked out in the literature, see for example [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. For classifications of AdS 3 solutions with uplift in 10d and 11d see [16] and [17].…”

Section: Jhep07(2017)040mentioning

confidence: 99%

Betti multiplets, flows across dimensions and c-extremization

Amariti

Toldo

2017

J. High Energ. Phys.

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Abstract:We consider 4d N = 1 SCFTs, topologically twisted on compact constant curvature Riemann surfaces, giving rise to 2d N = (0, 2) SCFTs. The exact R-current of these 2d SCFT extremizes the central charge c 2d , similarly to the 4d picture, where the exact R-current maximizes the central charge a 4d . There are global currents that do not mix with the R-current in 4d but their mixing becomes non trivial in 2d. In this paper we study the holographic dual of this process by analyzing a 5d N = 2 truncation of T 1,1 with one Betti vector multiplet, dual to the baryonic current on the CFT side. The holographic realization of the flow across dimensions connects AdS 5 to AdS 3 vacua in the supergravity picture. We verify the existence of the flow to AdS 3 solutions and we retrieve the field theory results for the mixing of the Betti vector with the graviphoton. Moreover, we extract the central charge from the Brown-Henneaux formula, matching with the results obtained in field theory. We develop a general formalism to obtain the central charge of a 2d SCFT from 5d N = 2 gauged supergravity with a generic number of vector multiplets, showing that its extremization corresponds to an attractor mechanism for the scalars in the supergravity picture.

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UV completions for non-critical strings

Cited by 38 publications

References 75 publications

From 6D superconformal field theories to dynamic gauged linear sigma models

From 6D superconformal field theories to dynamic gauged linear sigma models

AdS-phobia, the WGC, the Standard Model and Supersymmetry

Betti multiplets, flows across dimensions and c-extremization

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