A recently observed spectrum of Pc states exhibits a strong link to Σc¯D(*) thresholds. In spite of successful molecular interpretations, we still push forward to wonder whether there exist finer ...structures. Utilizing the effecitve Lagrangians respecting heavy quark symmetry and chiral symmetry, as well as instantaneous Bethe-Salpeter equations, we investigate the Σc¯D(*) interactions and three Pc states. We confirm that Pc (4312) and Pc (4440) are good candidates of Σc¯D and Σc¯D∗ molecules with spin-1/2, respectively. Unlike other molecular calculations, our results indicate the Pc (4457) signal might be a mixture of spin-3/2 and spin-1/2 Σc¯D∗ molecules, where the latter one appears to be an excitation of Pc (4440) . Therefore we conclude that, confronting three LHCb Pc signals, there may exist not three, but four molecular states.
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Establishing if multi-Higgs potentials are bounded from below (BFB) can be rather challenging, and it may impede efficient investigation of all phenomenological consequences of such models. In this ...paper, we find the necessary and sufficient BFB conditions for the three-Higgs-doublet model (3HDM) with the global symmetry group U(1)×U(1). We observed an important role played by charge-breaking directions in the Higgs space, even for situations when a good-looking neutral minimum exists. This remark is not limited to the particular model we consider but represents a rather general feature of elaborate multi-Higgs potentials which must be carefully dealt with. Also, applying this method to Weinberg's model (the Z2×Z2 symmetric 3HDM) turned out to be more challenging than was believed in the literature. In particular, we have found that the approach taken in a paper from 2009 does not lead to the necessary and sufficient BFB conditions for this case.
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In this Reply, we answer the main argument raised in the Comment about the energy of the NO3 radical and its influence in the reaction profiles of the reaction of the NO3 radical with CH2ClBr, ...CH2ICl, CH2BrI, CHCl2Br, and CHClBr2 by C. J. Nielsen and Y. Tang. The optimized geometry of the NO3 radical has been obtained using 49 DFT functionals: 26 functionals predict a minimum with D3h symmetry and 23 with C2v symmetry. The former functionals have been used to calculate the thermodynamic values of three reactions (X + HNO3 → XH + NO3, X= OH, CH3 and CCl3) and compared with experimental data. Those functionals with smaller errors have been used to recalculate the barriers of the reaction of NO3 with CH2ClBr, CH2ICl, CH2BrI, CHCl2Br, and CHClBr2. The results show differences of 10.5 kJ mol−1 when compared to those obtained with the M08HX functional.
Archimedes’ Revenge Villarino, Mark B; Várilly, Joseph C
The College mathematics journal,
05/2024, Volume:
55, Issue:
3
Journal Article
Peer reviewed
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5.
Exploring 2-group global symmetries Córdova, Clay; Dumitrescu, Thomas T.; Intriligator, Kenneth
The journal of high energy physics,
02/2019, Volume:
2019, Issue:
2
Journal Article
Peer reviewed
Open access
A
bstract
We analyze four-dimensional quantum field theories with continuous 2-group global symmetries. At the level of their charges, such symmetries are identical to a product of continuous flavor ...or spacetime symmetries with a 1-form global symmetry
U
(1)
B
(1)
, which arises from a conserved 2-form current
J
B
(2)
. Rather, 2-group symmetries are characterized by deformed current algebras, with quantized structure constants, which allow two flavor currents or stress tensors to fuse into
J
B
(2)
. This leads to unconventional Ward identities, which constrain the allowed patterns of spontaneous 2-group symmetry breaking and other aspects of the renormalization group flow. If
J
B
(2)
is coupled to a 2-form background gauge field
B
(2)
, the 2-group current algebra modifies the behavior of
B
(2)
under background gauge transformations. Its transformation rule takes the same form as in the Green-Schwarz mechanism, but only involves the background gauge or gravity fields that couple to the other 2-group currents. This makes it possible to partially cancel reducible ’t Hooft anomalies using Green-Schwarz counterterms for the 2-group background gauge fields. The parts that cannot be cancelled are reinterpreted as mixed, global anomalies involving
U
(1)
B
(1)
, which receive contributions from topological, as well as massless, degrees of freedom. Theories with 2-group symmetry are constructed by gauging an abelian flavor symmetry with suitable mixed ’t Hooft anomalies, which leads to many simple and explicit examples. Some of them have dynamical string excitations that carry
U
(1)
B
(1)
charge, and 2-group symmetry determines certain ’t Hooft anomalies on the world sheets of these strings. Finally, we point out that holographic theories with 2-group global symmetries have a bulk description in terms of dynamical gauge fields that participate in a conventional Green-Schwarz mechanism.
Ignacio Matte Blanco (1908-1995) left very few specific indications about the applications of his theoretical notions to his interpretative style. The author shows how he uses Matte Blanco to ...formulate some of his own interpretations. The first part of the paper uses clinical vignettes to illustrate some of Matte-Blanco's concepts. Their theoretical vocabulary is thus made explicit. Then two psychoanalytic sessions are discussed at greater length, together with one from a therapy, so that the use of Matte-Blanco's notions can be seen clearly, allowing for a fresh perspective on areas of psychoanalytic theory, particularly dreams, psychopathology viewed according to the proportions of asymmetrical and symmetrical functioning in the patient's bi-logical mental system, the multidimensionality of the unconscious, the structural unconscious, the emotion-thought relationship, projective identification, resistance, and negative therapeutic reaction. The practical consequences of all this are elaborated, particularly the ensuing possibility of 'thinking with the patient' in the session. This enables the patient to introject a form of mental functioning in which the asymmetrical mode is not invaded by the symmetric mode (a parallel can be seen here with the Bionian concept of dialogue between the psychotic and non-psychotic parts of the mind).
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A
bstract
We construct the defining data of two-dimensional topological field theories (TFTs) enriched by non-invertible symmetries/topological defect lines. Simple formulae for the three-point ...functions and the lasso two-point functions are derived, and crossing symmetry is proven. The key ingredients are open-to-closed maps and a boundary crossing relation, by which we show that a diagonal basis exists in the defect Hilbert spaces. We then introduce regular TFTs, provide their explicit constructions for the Fibonacci, Ising and Haagerup ℋ
3
fusion categories, and match our formulae with previous bootstrap results. We end by explaining how non-regular TFTs are obtained from regular TFTs via generalized gauging.
We consider the symmetry group of a Z 2 Z 4 -linear code with parameters of a 1-perfect, extended 1-perfect, or Preparata-like code. We show that, provided the code length is greater than 16, this ...group consists only of symmetries that preserve the Z 2 Z 4 structure. We find the orders of the symmetry groups of the Z 2 Z 4 -linear (extended) 1-perfect codes.
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We explore constraints on (1+1)d unitary conformal field theory with an internal ZN global symmetry, by bounding the lightest symmetry-preserving scalar primary operator using the modular bootstrap. ...Among the other constraints we have found, we prove the existence of a ZN-symmetric relevant/marginal operator if N−1≤c≤9−N for N≤4, with the end points saturated by various Wess-Zumino-Witten models that can be embedded into (e8)1. Its existence implies that robust gapless fixed points are not possible in this range of c if only a ZN symmetry is imposed microscopically. We also obtain stronger, more refined bounds that depend on the 't Hooft anomaly of the ZN symmetry.
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Magic fermions: Carroll and flat bands Bagchi, Arjun; Banerjee, Aritra; Basu, Rudranil ...
The journal of high energy physics,
03/2023, Volume:
2023, Issue:
3
Journal Article
Peer reviewed
Open access
A
bstract
The Carroll algebra is constructed as the
c →
0 limit of the Poincare algebra and is associated to symmetries on generic null surfaces. In this paper, we begin investigations of Carrollian ...fermions or fermions defined on generic null surfaces. Due to the availability of two different (degenerate) metrics on Carroll spacetimes, there is the possibility of two different versions of Carroll Clifford algebras. We consider both possibilities and construct explicit representations of Carrollian gamma matrices and show how to build higher spacetime dimensional representations out of lower ones. Actions for Carroll fermions are constructed with these gamma matrices and the properties of these actions are investigated.
We show that in condensed matter systems where the dispersion relation becomes trivial i.e. the energy is not dependent on momentum and bands flatten out, Carroll symmetry generically appears. We give explicit examples of this including that of twisted bi-layer graphene, where superconductivity appears at so called magic angles and connect this to Carroll fermions.
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