scholarly journals Expanding on the Cardy-like limit of the SCI of 4d $$ \mathcal{N} $$ = 1 ABCD SCFTs

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Antonio Amariti ◽  
Marco Fazzi ◽  
Alessia Segati
Keyword(s):  
Finite Order ◽  
Strong Evidence ◽  
Gravitational Anomaly ◽  
Superconformal Index ◽  
Universal Formula ◽  
Gauge Algebra ◽  
Angular Momenta ◽  
Weakly Coupled

Abstract We study the Cardy-like limit of the superconformal index of generic $$ \mathcal{N} $$ N = 1 SCFTs with ABCD gauge algebra, providing strong evidence for a universal formula that captures the behavior of the index at finite order in the rank and in the fugacities associated to angular momenta. The formula extends previous results valid at lowest order, and generalizes them to generic SCFTs. We corroborate the validity of our proposal by studying several examples, beyond the well-understood toric class. We compute the index also for models without a weakly-coupled gravity dual, whose gravitational anomaly is not of order one.

scholarly journals The 5d superconformal index at large N and black holes

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
P. Marcos Crichigno ◽  
Dharmesh Jain
Keyword(s):  
Black Holes ◽  
Partition Function ◽  
Simple Relation ◽  
Superconformal Field Theories ◽  
Superconformal Index ◽  
Angular Momenta ◽  
Weakly Coupled ◽  
Large N ◽  
Type Iib String Theory ◽  
Cardy Formula

Abstract We study the large N limit of the superconformal index of a large class of 5d $$ \mathcal{N} $$ N = 1 superconformal field theories and show it is given by the square of the partition function on the squashed five-sphere. We show this simple relation implies a Cardy formula in 5d, which is valid in an “extended” regime in which fugacities are finite and N is large. For theories with weakly coupled gravity duals we conjecture this large N Cardy formula universally accounts for the microscopic entropy of spinning black holes in AdS6. We check this explicitly for known black hole solutions in massive type IIA and type IIB string theory, carrying two angular momenta and one electric charge, and predict the entropy of black holes carrying multiple electric charges, yet to be constructed. We also discuss large N properties of the $$ {S}_b^3\times {\Sigma}_{\mathfrak{g}} $$ S b 3 × Σ g partition function, extending previous results to theories with type IIB duals.

scholarly journals 6d superconformal Cardy formulas

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
June Nahmgoong
Keyword(s):  
Black Holes ◽  
Free Energy ◽  
Superconformal Index ◽  
Angular Momenta

Abstract We study the superconformal index of 6d SCFTs from their ’t Hooft anomalies. In the Cardy limit where the angular momenta on S5 are large, we show that the leading free energy, as well as a few subleading corrections, can be computed from the 6d anomaly polynomials. Our large N free energy accounts for the entropy of supersymmetric black holes in dual AdS7.

Concurrent Electrodermal and Eyeblink Conditioning With Masked and Unmasked Stimuli

2021 ◽  
Vol 35 (1) ◽  
pp. 35-42
Author(s):  
José Luis Marcos ◽  
Azahara Marcos
Keyword(s):  
Unconditioned Stimulus ◽  
Strong Evidence ◽  
Eyeblink Conditioning ◽  
Noise Burst ◽  
Conditioning Phase ◽  
Contingency Awareness ◽  
Blank Screen ◽  
Neutral Face ◽  
Fearful Face

Abstract. The aim of this study was to determine if contingency awareness between the conditioned (CS) and unconditioned stimulus (US) is necessary for concurrent electrodermal and eyeblink conditioning to masked stimuli. An angry woman’s face (CS+) and a fearful face (CS−) were presented for 23 milliseconds (ms) and followed by a neutral face as a mask. A 98 dB noise burst (US) was administered 477 ms after CS+ offset to elicit both electrodermal and eyeblink responses. For the unmasking conditioning a 176 ms blank screen was inserted between the CS and the mask. Contingency awareness was assessed using trial-by-trial ratings of US-expectancy in a post-conditioning phase. The results showed acquisition of differential electrodermal and eyeblink conditioning in aware, but not in unaware participants. Acquisition of differential eyeblink conditioning required more trials than electrodermal conditioning. These results provided strong evidence of the causal role of contingency awareness on differential eyeblink and electrodermal conditioning.

BLOCKADE OF THE SURGE OF PROLACTIN AT PRO-OESTRUS BY ADMINISTRATION OF ANTI-OESTROGENIC SUBSTANCE, MER-25

1973 ◽  
Vol 74 (4) ◽  
pp. 769-774 ◽  
Author(s):  
Akira Yokoyama ◽  
Hiroshi Tomogane ◽  
Katuaki Ôta
Keyword(s):  
Strong Evidence ◽  
The Other ◽  
Other Hand

ABSTRACT A non-steroidal oestrogen antagonist, MER-25, was administered to cycling rats for elucidating the role of oestrogen in the surge of prolactin observed on the afternoon of pro-oestrus (POe). In animals injected with 20 mg of MER-25 intramuscularly on the afternoon (16.30 h) of the first day of dioestrus (D-1), the surge of prolactin was blocked while the level of prolactin on the afternoon of POe of these animals was significantly higher than that of the corresponding controls injected with oil. Ovulation was also blocked in these animals treated with the drug on the afternoon of D-l. On the other hand, treatment on the morning (10.30 h) of the 2nd day of dioestrus failed to prevent not only the surge of prolactin but also ovulation. These observations provide strong evidence for the view that oestrogen is responsible for the surge of prolactin on the afternoon of POe, and that the surge is accompanied by that of LH.

Automorphisms of finite order of nilpotent groups II

2014 ◽  
Vol 51 (4) ◽  
pp. 547-555 ◽  
Author(s):  
B. Wehrfritz
Keyword(s):  
Nilpotent Group ◽  
Finite Order ◽  
Finite Index ◽  
Nilpotent Groups ◽  
Finitely Generated

Let G be a nilpotent group with finite abelian ranks (e.g. let G be a finitely generated nilpotent group) and suppose φ is an automorphism of G of finite order m. If γ and ψ denote the associated maps of G given by \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\gamma :g \mapsto g^{ - 1} \cdot g\phi and \psi :g \mapsto g \cdot g\phi \cdot g\phi ^2 \cdots \cdot \cdot g\phi ^{m - 1} for g \in G,$$ \end{document} then Gγ · kerγ and Gψ · ker ψ are both very large in that they contain subgroups of finite index in G.

Photoinhibition in vivo and in vitro Involves Weakly Coupled Chlorophyll–Protein Complexes‡¶

2002 ◽  
Vol 75 (6) ◽  
pp. 613 ◽  
Author(s):  
Stefano Santabarbara ◽  
Ilaria Cazzalini ◽  
Andrea Rivadossi ◽  
Flavio M. Garlaschi ◽  
Giuseppe Zucchelli ◽  
...  
Keyword(s):  
Protein Complexes ◽  
Weakly Coupled ◽  
Chlorophyll Protein Complexes ◽  
Chlorophyll Protein

The Sustainable Debts of Philip II

2017 ◽  
Author(s):  
Mauricio Drelichman ◽  
Hans-Joachim Voth
Keyword(s):  
Sixteenth Century ◽  
Strong Evidence ◽  
Military Expenditure ◽  
Debt Service ◽  
Fiscal Sustainability ◽  
Short Term ◽  
Systematic Analysis ◽  
Philip Ii ◽  
Long Run

This chapter addresses the sustainability of debt. A systematic analysis based on the International Monetary Fund's (IMF) methodology to evaluate fiscal sustainability shows that Castile was able to service its debts in the long run. While liquidity was scarce during periods of intense warfare, years of relative peace brought large surpluses. The data collected from Castile's annual fiscal accounts produced new yearly series of revenue, military expenditure, short-term debt issues, and short-term debt service. The resulting database spans a full 31-year period—enough to employ modern quantitative techniques. This analysis provides strong evidence that Castile's fiscal position in the second half of the sixteenth century was on a solid footing. The chapter then assesses whether the events that led to major downturns in Castile's financial fortunes could have been anticipated.

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