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We describe a novel variation of the mirror twin Higgs model in which the color gauge group in both sectors is extended to SU(4)cand spontaneously broken to SU(3)cexclusively in the visible sector. Through this process, the mirrorZ2symmetry is spontaneously broken, allowing for a phenomenologically viable electroweak vacuum alignment. This structure produces interesting collider signatures, including heavy vectors and fermions with fractional electric charges. The twin sector, with unbroken SU(4)c, produces interesting cosmological characteristics, such as the possibility to reduce ∆Neffand stable spin-0 baryons. The enlarged top quark sector required by the extended color gauge symmetry preserves naturalness, with even less tuning than the original twin Higgs in many circumstances.
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Lattice cohomology and q -series invariants of 3-manifolds
Abstract In this paper, an invariant is introduced for negative definite plumbed 3-manifolds equipped with a spin c {{}^{c}} -structure. It unifies and extends two theories with rather different origins and structures. One theory is lattice cohomology, motivated by the study of normal surface singularities, known to be isomorphic to the Heegaard Floer homology for certain classes of plumbed 3-manifolds. Another specialization gives BPS q -series which satisfy some remarkable modularity properties and recover SU ( 2 ) {{\rm SU}(2)} quantum invariants of 3-manifolds at roots of unity.In particular, our work gives rise to a 2-variable refinement of the Z ^ {\widehat{Z}} -invariant.
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- PAR ID:
- 10409812
- Date Published:
- Journal Name:
- Journal für die reine und angewandte Mathematik (Crelles Journal)
- Volume:
- 2023
- Issue:
- 796
- ISSN:
- 0075-4102
- Page Range / eLocation ID:
- 269 to 299
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
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Accepted Manuscript1.0
- Journal Article:
- https://doi.org/10.1515/crelle-2022-0096
