scholarly journals Gauged 2-form symmetries in 6D SCFTs coupled to gravity

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Andreas P. Braun ◽  
Magdalena Larfors ◽  
Paul-Konstantin Oehlmann
Keyword(s):  
Quantum Gravity ◽  
Global Symmetries ◽  
Large Class ◽  
Supergravity Theory ◽  
Five Dimensions ◽  
Alternative Derivation ◽  
Dual Perspective

Abstract We study six dimensional supergravity theories with superconformal sectors (SCFTs). Instances of such theories can be engineered using type IIB strings, or more generally F-Theory, which translates field theoretic constraints to geometry. Specifically, we study the fate of the discrete 2-form global symmetries of the SCFT sectors. For both (2, 0) and (1, 0) theories we show that whenever the charge lattice of the SCFT sectors is non-primitively embedded into the charge lattice of the supergravity theory, there is a subgroup of these 2-form symmetries that remains unbroken by BPS strings. By the absence of global symmetries in quantum gravity, this subgroup much be gauged. Using the embedding of the charge lattices also allows us to determine how the gauged 2-form symmetry embeds into the 2-form global symmetries of the SCFT sectors, and we present several concrete examples, as well as some general observations. As an alternative derivation, we recover our results for a large class of models from a dual perspective upon reduction to five dimensions.

scholarly journals Global symmetry, Euclidean gravity, and the black hole information problem

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Daniel Harlow ◽  
Edgar Shaghoulian
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Global Symmetries ◽  
Close Connection ◽  
Usual Sense ◽  
Global Symmetry ◽  
Recent Argument ◽  
Black Hole Information ◽  
Information Problem ◽  
Low Dimensional

Abstract In this paper we argue for a close connection between the non-existence of global symmetries in quantum gravity and a unitary resolution of the black hole information problem. In particular we show how the essential ingredients of recent calculations of the Page curve of an evaporating black hole can be used to generalize a recent argument against global symmetries beyond the AdS/CFT correspondence to more realistic theories of quantum gravity. We also give several low-dimensional examples of quantum gravity theories which do not have a unitary resolution of the black hole information problem in the usual sense, and which therefore can and do have global symmetries. Motivated by this discussion, we conjecture that in a certain sense Euclidean quantum gravity is equivalent to holography.

scholarly journals Topological violation of global symmetries in quantum gravity

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Kazuya Yonekura
Keyword(s):  
Quantum Gravity ◽  
Global Symmetries ◽  
Gauge Field ◽  
Path Integral ◽  
Black Brane ◽  
Current Conservation ◽  
Charge Conservation ◽  
Local Current ◽  
Topological Construction ◽  
Breaking Term

Abstract We discuss a topological reason why global symmetries are not conserved in quantum gravity, at least when the symmetry comes from compactification of a higher form symmetry. The mechanism is purely topological and does not require any explicit breaking term in the UV Lagrangian. Local current conservation does not imply global charge conservation in a sum over geometries in the path integral. We explicitly consider the shift symmetry of an axion-like field which originates from the compactification of a p-form gauge field. Our topological construction is motivated by the brane/black-brane correspondence, brane instantons, and an idea that virtual black branes of a simple kind may be realized by surgery on spacetime manifolds.

scholarly journals Quantum gravity as a multitrace matrix model

2017 ◽  
Vol 32 (31) ◽  
pp. 1750180
Author(s):  
Badis Ydri ◽  
Cherine Soudani ◽  
Ahlam Rouag
Keyword(s):  
Quantum Gravity ◽  
Matrix Models ◽  
Large Class ◽  
Matrix Model ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Topology Change ◽  
New Model ◽  
And Topology ◽  
Emergent Geometry

We present a new model of quantum gravity as a theory of random geometries given explicitly in terms of a multitrace matrix model. This is a generalization of the usual discretized random surfaces of two-dimensional quantum gravity which works away from two dimensions and captures a large class of spaces admitting a finite spectral triple. These multitrace matrix models sustain emergent geometry as well as growing dimensions and topology change.

scholarly journals LOOP CONSTRAINTS: A HABITAT AND THEIR ALGEBRA

1998 ◽  
Vol 07 (02) ◽  
pp. 299-330 ◽  
Author(s):  
JERZY LEWANDOWSKI ◽  
DONALD MAROLF
Keyword(s):  
Quantum Gravity ◽  
Poisson Bracket ◽  
Large Class ◽  
Hamiltonian Constraint ◽  
Natural Domain ◽  
New Space ◽  
Loop Constraints ◽  
Quantum Constraints

This work introduces a new space [Formula: see text] of 'vertex-smooth' states for use in the loop approach to quantum gravity. Such states provide a natural domain for Euclidean Hamiltonian constraint operators of the type introduced by Thiemann (and using certain ideas of Rovelli and Smolin). In particular, such operators map [Formula: see text] into itself, and so are actual operators in this space. Their commutator can be computed on [Formula: see text] and compared with the classical hypersurface deformation algebra. Although the classical Poisson bracket of Hamiltonian constraints yields an inverse metric times an infinitesimal diffeomorphism generator, and despite the fact that the diffeomorphism generator has a well-defined nontrivial action on [Formula: see text], the commutator of quantum constraints vanishes identically for a large class of proposals.

scholarly journals Supersymmetric domain walls in maximal 6D gauged supergravity I

2021 ◽  
Vol 81 (8) ◽  
Author(s):  
Parinya Karndumri ◽  
Patharadanai Nuchino
Keyword(s):  
Domain Wall ◽  
Large Class ◽  
Domain Walls ◽  
Global Symmetry ◽  
Five Dimensions ◽  
Gauge Groups ◽  
Yang Mills

AbstractWe find a large class of supersymmetric domain wall solutions from six-dimensional $$N=(2,2)$$ N = ( 2 , 2 ) gauged supergravity with various gauge groups. In general, the embedding tensor lives in $${{\mathbf {144}}}_c$$ 144 c representation of the global symmetry SO(5, 5). We explicitly construct the embedding tensors in $${{\mathbf {15}}}^{-1}$$ 15 - 1 and $$\overline{{\mathbf {40}}}^{-1}$$ 40 ¯ - 1 representations of $$GL(5)\sim {\mathbb {R}}^+\times SL(5)\subset SO(5,5)$$ G L ( 5 ) ∼ R + × S L ( 5 ) ⊂ S O ( 5 , 5 ) leading to $$CSO(p,q,5-p-q)$$ C S O ( p , q , 5 - p - q ) and $$CSO(p,q,4-p-q)\ltimes {\mathbb {R}}^4_{{\varvec{s}}}$$ C S O ( p , q , 4 - p - q ) ⋉ R s 4 gauge groups, respectively. These gaugings can be obtained from $$S^1$$ S 1 reductions of seven-dimensional gauged supergravity with $$CSO(p,q,5-p-q)$$ C S O ( p , q , 5 - p - q ) and $$CSO(p,q,4-p-q)$$ C S O ( p , q , 4 - p - q ) gauge groups. As in seven dimensions, we find half-supersymmetric domain walls for purely magnetic or purely electric gaugings with the embedding tensors in $${{\mathbf {15}}}^{-1}$$ 15 - 1 or $$\overline{{\mathbf {40}}}^{-1}$$ 40 ¯ - 1 representations, respectively. In addition, for dyonic gauge groups with the embedding tensors in both $${{\mathbf {15}}}^{-1}$$ 15 - 1 and $$\overline{{\mathbf {40}}}^{-1}$$ 40 ¯ - 1 representations, the domain walls turn out to be $$\frac{1}{4}$$ 1 4 -supersymmetric as in the seven-dimensional analogue. By the DW/QFT duality, these solutions are dual to maximal and half-maximal super Yang–Mills theories in five dimensions. All of the solutions can be uplifted to seven dimensions and further embedded in type IIB or M-theories by the well-known consistent truncation of the seven-dimensional $$N=4$$ N = 4 gauged supergravity.

scholarly journals Constraints on discrete global symmetries in quantum gravity

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Passant Ali ◽  
Astrid Eichhorn ◽  
Martin Pauly ◽  
Michael M. Scherer
Keyword(s):  
Field Theory ◽  
Quantum Gravity ◽  
Global Symmetries ◽  
Effective Field Theory ◽  
Effective Field ◽  
Fine Tuning ◽  
Theory Approach ◽  
Perturbative Regime

Abstract The question whether global symmetries can be realized in quantum-gravity-matter-systems has far-reaching phenomenological consequences. Here, we collect evidence that within an asymptotically safe context, discrete global symmetries of the form ℤn, n > 4, cannot be realized in a near-perturbative regime. In contrast, an effective-field-theory approach to quantum gravity might feature such symmetries, providing a mechanism to generate mass hierarchies in the infrared without the need for additional fine-tuning.

HOLOGRAPHY, QUANTUM GRAVITY AND CONFINEMENT

2012 ◽  
Vol 21 (11) ◽  
pp. 1242005
Author(s):  
VIQAR HUSAIN ◽  
DAWOOD KOTHAWALA
Keyword(s):  
Gauge Theory ◽  
Quantum Gravity ◽  
Energy Conditions ◽  
Higher Dimension ◽  
Singularity Avoidance ◽  
Five Dimensions ◽  
Four Dimensions

In the holographic dictionary between gauge theory in four dimensions and gravity in five dimensions, there is an encoding in the bulk geometry of the phases of the gauge theory. If the correspondence holds at all scales, it is natural to expect that gauge theory contains information about quantum gravity in one higher dimension. We argue that the confining phase of gauge theory has a correspondence with singularity avoidance in quantum gravity. This comes from the observation that confinement appears to be generically associated with repulsion deep in the bulk on the gravity side, which in turn is a consequence of the violation of energy conditions in quantum gravity that lead to singularity avoidance.

scholarly journals Topological operators and completeness of spectrum in discrete gauge theories

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Tom Rudelius ◽  
Shu-Heng Shao
Keyword(s):  
Gauge Theory ◽  
Quantum Gravity ◽  
Global Symmetries ◽  
Gauge Group ◽  
Finite Groups ◽  
Gauge Theories ◽  
Global Symmetry ◽  
Consistent Theory

Abstract 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.

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