Reflections on Parity Breaking

McNamara, Jacob; Reece, Matthew

doi:10.48550/arxiv.2212.00039

Cited by 5 publications

(4 citation statements)

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“…Parity can also be a gauge symmetry, in the context of quantum gravity, which means that the path integral includes a sum over both orientable and non-orientable spacetimes. For more on this topic, see [31].…”

Section: Integration and Stokes's Theoremmentioning

confidence: 99%

“…Discrete gauge theories tend to get little attention in introductions to quantum field theory for particle physicists, especially as theories in their own right rather than remnants of a higgsed continuous gauge theory. For a little more detailed introduction to discrete gauge theory, I refer you to §2 of [31], where Jake McNamara and I recently tried to give a clear pedagogical summary.…”

Section: Gauge Fieldsmentioning

confidence: 99%

“…Because these are spacetime symmetries, the only way that they can be gauged is via quantum gravity. The symmetry breaking phase transition produces exactly stable domain walls [31], which must be inflated away for a viable cosmology. Such CP-or parity-based models are interesting, but in my opinion, less plausible than the axion solution.…”

Section: The Strong Cp Problem In Quantum Gravitymentioning

confidence: 99%

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TASI Lectures: (No) Global Symmetries to Axion Physics

Reece

2024

Proceedings of 2022 Theoretical Advanced Study Institute in Particle Theory — PoS(TASI2022)

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These notes are an expanded version of lectures given at the 2022 TASI summer school in Boulder, Colorado. One goal of these lecture notes is to (partially) bridge the gap between what one learns in typical introductory quantum field theory classes and what one needs to understand to follow modern developments in particle theory beyond the Standard Model. Topics covered include global and gauge symmetries, charge quantization, instantons, chiral anomalies, the Strong CP problem, axion models from 4d and from higher dimensions, the expected absence of global symmetries in quantum gravity, and some phenomenological implications thereof. If these topics seem to be at best loosely related, I hope that reading the notes will convince you otherwise. Recent developments in quantum field theory have shown that ordinary gauge theories exhibit a much wider range of (generalized) global symmetries than were previously understood, while recent work in quantum gravity has provided sharper arguments that global symmetries should not exist. This sets up an interesting tension, the resolution of which can have implications for particle physics in the real world. Axion physics is one setting in which these ideas can guide phenomenology. The TASI audience comprised particle phenomenology students whom I hoped to convince of the importance of learning more about quantum field theory and quantum gravity. These notes may also be of interest to formal theory readers seeking closer connections to realworld particle physics.

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Section: Integration and Stokes's Theoremmentioning

confidence: 99%

Section: Gauge Fieldsmentioning

confidence: 99%

Section: The Strong Cp Problem In Quantum Gravitymentioning

confidence: 99%

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TASI Lectures: (No) Global Symmetries to Axion Physics

Reece

2024

Proceedings of 2022 Theoretical Advanced Study Institute in Particle Theory — PoS(TASI2022)

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“…It predicts the existence of corresponding objects, termed "cobordism defects", that absorb the charge in such a way that the global symmetry is broken and spacetime can terminate smoothly. The CC has led to a focus on identifying these defects and the resulting spacetime-ending configurations, often referred to as "cobordisms to nothing" (see, for example, [14,[19][20][21]).…”

Section: Introductionmentioning

confidence: 99%

The bubble of nothing under T-duality

Delgado

2024

J. High Energ. Phys.

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The bubble of nothing is a solution to Einstein’s equations where a circle shrinks and pinches off smoothly. As such, it is one of the simplest examples of a dynamical cobordism to nothing. We take a first step in studying how this solution transforms under T-duality in bosonic string theory. Applying Buscher’s rules reveals that the dual solution features a singular, strongly coupled core, with a circle blowing-up rather than pinching off. This naive approach to T-duality solely accounts for the zero-modes of the fields after dimensional reduction on the circle. For this reason, we argue that this is not the full picture that the T-dual solution should depend non-trivially on the dual circle. We point out evidence to this effect both in the gravity description and on the worldsheet. A more complete description of the T-dual object would require a full-fledged sigma model for the bubble of nothing. Nevertheless, inspired by similar examples in the literature, we detail one possible scenario where the stringy bubble of nothing is mediated by closed string tachyon condensation and we discuss its T-duality.

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Unifying constructions of non-invertible symmetries

Bhardwaj,

Schäfer-Nameki,

Tiwari

2023

SciPost Phys.

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In the past year several constructions of non-invertible symmetries in Quantum Field Theory in d≥3d≥3 have appeared. In this paper we provide a unified perspective on these constructions. Central to this framework are so-called theta defects, which generalize the notion of theta-angles, and allow the construction of universal and non-universal topological symmetry defects. We complement this physical analysis by proposing a mathematical framework (based on higher-fusion categories) that converts the physical construction of non-invertible symmetries into a concrete computational scheme.

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Reflections on Parity Breaking

Cited by 5 publications

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TASI Lectures: (No) Global Symmetries to Axion Physics

TASI Lectures: (No) Global Symmetries to Axion Physics

The bubble of nothing under T-duality

Unifying constructions of non-invertible symmetries

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