Loop corrections versus marginal deformation in celestial holography

Four-dimensional all-loop amplitudes in QED and gravity exhibit universal Infrared (IR) singularities with a factorization structure. This structure is governed by tree amplitudes and a universal IR-divergent factor representing the exchange of soft particles between external lines. This letter offers a precise dual interpretation of these universal IR-divergent factors within celestial holography. Considering the tree amplitude as the foundation of the celestial conformal field theory (CCFT), these universal factors correspond to marginal deformations in the CCFT. Remarkably, a novel geometric representation of these deformations through topological gauging provides an exact description of transitions within bulk vacuum moduli spaces. Our findings establish a concrete dictionary for celestial holography and offer a holographic lens to understand loop corrections in scattering amplitudes.Comment: v2: 9 pages + appendices, interpretations significantly improved, sections reorganized, main results unchanged, new section about moduli spaces of bulk vacua added, sections of deformed soft graviton theorem and shifted stress tensor moved to appendix, refs. adde

TTˉT\bar{T} deformed soft theorem

In this paper, we derive a $T\bar{T}$ deformed soft graviton theorem in the context of celestial holography. As a concrete example, it illustrates that a two-dimensional irrelevant deformation can be applied to a four-dimensional theory at the level of amplitudes. We argue that the $T\bar{T}$ deformation has a close relation to the loop-correction from the amplitude side which could provide an alternative way to construct an ultraviolet complete quantum theory of gravity.Comment: v2: Interpretation improved significantly, discussions on the connection between loop corrections and deformations added, extra with respect to the version accepted for publication in journal due to the page limit

4,6-Dimethyl-2-(naphthalen-1-yl)pyrimidine

The asymmetric unit of the title compound, C16H14N2, contains two independent mol­ecules in which the dihedral angles between the pyrimidine and naphthaline rings are 38.20 (5) and 39.35 (5)°. Inter­molecular C—H⋯π contacts and π–π stacking inter­actions [centroid–centroid distances = 3.766 (1) and 3.792 (1) Å] are present in the crystal structure

{1-[(3,5-Dimethyl-4H-1,2,4-triazol-4-yl)imino]eth­yl}ferrocene

In the title compound, [Fe(C5H5)(C11H13N4)], the triazolyl and Cp ring form a dihedral angle of 76.6 (3)°. In the crystal structure, there are both intra- and inter­molecular C—H⋯π inter­actions, forming a one-dimensional chain structure along [010]

Myocardin immunohistochemistry index is associated with clinical prognosis in nasopharyngeal carcinoma: a clinical practice-based cohort study

Purpose: Recent findings have implicated the role of myocardin re-expression in carcinogenesisHowever, the clinical functions of myocardin in nasopharyngeal carcinoma (NPC) is not known yet. The purpose for the cohort research was to investigate whether myocardin re-expression level may predict clinical prognosis in NPC patients.Methods: 148 NPC patients were recruited from September, 2005 to September, 2011 with median follow-up time of 4.5 years in a clinical practice setting. At study entry myocardin re-expression of these patients was determined using immunohistochemistry (IHC) and additional 20 normal nasopharyngeal tissues were included as control. Two-sample t-test was used to compare mean myocardin reexpression levels and Chi-square test was used for comparing tumour recurrence rate. Logistic regression analysis was used for tumour local control rate, and log-rank test, Kaplan-Meier estimates and Cox proportional hazard model for disease-free survival and overall survival.Results: Myocardin IHC index was significantly downregulated in NPC samples than in normalnasopharyngeal tissues (mean ± standard deviation, 61.2 ±31.5 vs. 109.9 ±73.6, P= 0.009). However, among NPC patients was observed a roughly V-shaped change of myocardin IHC index according to Tumour T-stage (P=0.067); meanwhile higher IHC level was associated with more tumour recurrence rate in NPC patients (High vs. Low: 21.6% vs. 8.1%; P=0.021). Logistic regression analysis equally showed high myocardin IHC level was an independent risk factor for local tumour control rate regardless of adjustments [High vs. Low: unadjusted Odds Ratio (OR) 0.320, 95% confidence interval (CI): 0.117 to 0.871; P=0.026]. Moreover, higher myocardin IHC level was associated with a marginal but not significant risk increase of disease-free survival [High vs. Low: adjusted Hazard Ratio (HR) 1.760, 95% CI: 0.981 to 3.158; log-rank: P=0.129]. A less obvious trend was observed with regard to overall survival [adjusted HR 1.409, 95% CI: 0.715 to 2.77; log-rank: P=0.745].Conclusion: The study results suggested that high myocardin IHC index level could be a potential clinically prognostic intermediate biomarker for tumour recurrence for NPC patients in routine practice. Large well-designed cohort studies involving IHC re-expression change over time is needed

2-Ferrocenyl-3-meth­oxy-6-methyl­pyridine

In the title compound, [Fe(C5H5)(C12H12NO)], the dihedral angle between the pyridyl and substituted cyclo­penta­dienyl rings is 23.58 (3)°. The crystal structure is characterized by weak inter­molecular C—H⋯N hydrogen-bonding contacts, leading to the formation of chains running parallel to the n-glide planes. A weak inter­molecular C—H⋯π contact is also present

Bromido{dicyclo­hexyl[2′-(dimethyl­amino)biphenyl-2-yl]phosphine-κP}[2-(4,6-dimethyl­pyrimidin-2-yl)ferrocenyl-κ2 C 1,N]palladium(II) dichloro­methane solvate

In the title compound, [FePdBr(C5H5)(C11H10N2)(C26H36NP)]·CH2Cl2, the Pd atom displays a distorted square-planar coordination environment. The five-membered metallacycle adopts an envelope conformation with the coordinated cyclo­penta­dienyl C atom 0.4222 (4) Å out of plane. The dihedral angle between the pyrimidinyl ring and substituted cyclo­penta­dienyl ring is 21.47 (2)°. In the crystal structure, the dimeric unit is generated through the C—H⋯π contact via a crystallographic inversion centre, while the C—H⋯Cl contacts in the dimeric centre link the dichlormethane mol­ecules with the Pd complex mol­ecules

Observation of Viruses, Bacteria, and Fungi in Clinical Skin Samples under Transmission Electron Microscopy

The highlight of this chapter is the description of the clinical manifestation and its pathogen and the host tissue damage observed under the transmission electron microscopy, which helps the clinician understand the pathogen’s ultrastructure, the change of host sub-cell structure, and helps the laboratory workers understand the pathogen-induced human skin lesions’ clinical characteristics, to establish a two-way learning exchange database with vivid images