Towards a Swampland Global Symmetry Conjecture using weak gravity

Daus, Tristan; Hebecker, Arthur; Leonhardt, Sascha; March-Russell, John

doi:10.1016/j.nuclphysb.2020.115167

Cited by 34 publications

(37 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There are two possible outcomes for the fate of a global symmetry present in the low energy effective theory: it can be explicitly broken by non-perturbative effects, and we can give a lower bound on the scale of such a breaking from the gravitational action of the wormhole, namely e − AdS /G N [25]. This is compatible with previous findings (see for example [44]). Alternatively, it can be gauged in which case the Euclidean wormhole computation vanishes and the symmetry is exact in the microscopic CFT description.…”

Section: Discussionsupporting

confidence: 90%

Charged eigenstate thermalization, Euclidean wormholes and global symmetries in quantum gravity

et al. 2022

View full text Add to dashboard Cite

We generalize the eigenstate thermalization hypothesis to systems with global symmetries. We present two versions, one with microscopic charge conservation and one with exponentially suppressed violations. They agree for correlation functions of simple operators, but differ in the variance of charged one-point functions at finite temperature. We then apply these ideas to holography and to gravitational low-energy effective theories with a global symmetry. We show that Euclidean wormholes predict a non-zero variance for charged one-point functions, which is incompatible with microscopic charge conservation. This implies that global symmetries in quantum gravity must either be gauged or explicitly broken by non-perturbative effects.

show abstract

Section: Discussionsupporting

confidence: 90%

Charged eigenstate thermalization, Euclidean wormholes and global symmetries in quantum gravity

et al. 2022

View full text Add to dashboard Cite

show abstract

“…From a phenomenological perspective, the distinction between an exactly topological operator and an approximately topological operator (which has only slight sensitivity to deformations of the manifold on which it is supported) is irrelevant provided the effects of such deformations are small enough to avoid experimental detection. Several works have sought to address this problem by investigating the strength of global symmetry-violating effects in quantum gravity [64][65][66][67]; it would be nice to extend these analyses to more general topological operators and to study the phenomenological implications thereof.…”

Section: Jhep12(2020)172mentioning

confidence: 99%

Topological operators and completeness of spectrum in discrete gauge theories

Rudelius

Shao

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

In many gauge theories, the existence of particles in every representation of the gauge group (also known as completeness of the spectrum) is equivalent to the absence of one-form global symmetries. However, this relation does not hold, for example, in the gauge theory of non-abelian finite groups. We refine this statement by considering topological operators that are not necessarily associated with any global symmetry. For discrete gauge theory in three spacetime dimensions, we show that completeness of the spectrum is equivalent to the absence of certain Gukov-Witten topological operators. We further extend our analysis to four and higher spacetime dimensions. Since topological operators are natural generalizations of global symmetries, we discuss evidence for their absence in a consistent theory of quantum gravity.

show abstract

“…If parity is a gauge symmetry of the underlying theory, we are led to consider only those HDOs proportional to the source of spontaneous symmetry breaking. On the other hand, if parity were global, the expectation that quantum gravity violates all global symmetries [21][22][23][24][25][26][27][28][29][30][31][32][33] suggests we should include all HDOs that explicitly violate P . Although the nature of the operators is different in the gauge and global implementations, the conclusion will be the same: in both cases, the leading HDOs with O(1) coefficients may be present without destabilizing the solution to strong CP.…”

Section: Jhep09(2021)130mentioning

confidence: 99%

“…Of course, the single most pressing issue for phenomenology is to establish a lower bound on the amount of global symmetry violation that must be present in the IR. Attempts at finding such a "universal" lower bound have been made [32,33], but a fully satisfactory answer remains elusive. Absent a full understanding of how quantum gravity affects global symmetries at low energies, we can at least attempt to assess the robustness of an EFT against global symmetry violation by considering the impact of HDOs suppressed by the appropriate power of M Pl .…”

Section: Strong Cp and Quantum Gravitymentioning

confidence: 99%

P not PQ

Craig

García

Koszegi

et al. 2021

J. High Energ. Phys.

View full text Add to dashboard Cite

Parity solutions to the strong CP problem are a compelling alternative to approaches based on Peccei-Quinn symmetry, particularly given the expected violation of global symmetries in a theory of quantum gravity. The most natural of these solutions break parity at a low scale, giving rise to a host of experimentally accessible signals. We assess the status of the simplest parity-based solution in light of LHC data and flavor constraints, highlighting the prospects for near-future tests at colliders, tabletop experiments, and gravitational wave observatories. The origin of parity breaking and associated gravitational effects play crucial roles, providing new avenues for discovery through EDMs and gravity waves. These experimental opportunities underline the promise of generalized parity, rather than Peccei-Quinn symmetry, as a robust and testable solution to the strong CP problem.

show abstract

Towards a Swampland Global Symmetry Conjecture using weak gravity

Cited by 34 publications

References 43 publications

Charged eigenstate thermalization, Euclidean wormholes and global symmetries in quantum gravity

Charged eigenstate thermalization, Euclidean wormholes and global symmetries in quantum gravity

Topological operators and completeness of spectrum in discrete gauge theories

P not PQ

Contact Info

Product

Resources

About