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Cardy & Kerr

2010
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Journal of High Energy Physics
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The Kerr/CFT correspondence employs the

doi:10.1007/jhep02(2010)088
fatcat:sqqo5t6jxvfjbnmik3h3u2rvby
*Cardy*formula to compute the entropy of the left moving CFT states. ... We show that the comparison of the entropy of the extreme Kerr black hole and the entropy in the CFT can be understood within the*Cardy*regime by considering a D0-D6 system with the same entropic properties ... This means that the*Cardy*formula will never be applicable at any point of this duality orbit. ...##
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CARDI-O-METER

1941
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Journal of the American Medical Association (JAMA)
*

EDITORIALS

doi:10.1001/jama.1941.02820460047013
fatcat:fsiep53rijckbkyy3ix5qc5vwm
*CARDI*-O-METER Recently some sixty drug stores in the city of Chicago have added to their equipment a device called the*Cardi*-O-Meter, which enables any person who will put his arm in a strap ... Would it be surprising to see some one develop the use of the*Cardi*-O-Meter to the point where a blood pressure of 160 would get you $1.20 in trade? ...##
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6d superconformal Cardy formulas
[article]

2020
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arXiv
*
pre-print

In the

arXiv:1907.12582v2
fatcat:mcyzxzoyrfarrcgnxioofdng4y
*Cardy*limit where the angular momenta on S^5 are large, we show that the leading free energy, as well as a few subleading corrections, can be computed from the 6d anomaly polynomials. ... In d > 2, the*Cardy*formula refers to the behavior of the superconformal index in the 'generalized*Cardy*limit' where |ω i | 1. ... with the*Cardy*formula given in [37, 38] . ...##
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6d superconformal Cardy formulas

2021
*
Journal of High Energy Physics
*

In the

doi:10.1007/jhep02(2021)092
fatcat:z73mrbwmafh65pjoare7356fwy
*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. ... In d > 2, the*Cardy*formula refers to the behavior of the superconformal index in the 'generalized*Cardy*limit' where |ω i | 1. ... Our*Cardy*formula (1.4) takes the form of the '*Cardy*series' in the sense that it determines the free energy up to the subleading O(ω −1 ) order. ...##
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Tauberian-Cardy formula with spin
[article]

2020
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arXiv
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pre-print

We show that we can trust the naive

arXiv:1910.07727v2
fatcat:34u3ycturfcy3gzwqjtfvmgdzy
*Cardy*formula for all the operators when max(h,h) = min(h,h) Υ with 1 ≤ Υ < 2. ... The*Cardy*formula [1] for the asymptotic density of states has recently been rigorously derived with an estimate for the error term in [2, 3] . ... We compare this with the result in [19] , where the*Cardy*formula is reported to be applicable for * * = ¯ > 1 24 2 . ...##
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Tauberian-Cardy formula with spin

2020
*
Journal of High Energy Physics
*

We show that we can trust the naive

doi:10.1007/jhep01(2020)135
fatcat:dexiogdkqvhthkvkov6p657ee4
*Cardy*formula for all the operators when max(h,h) = min(h,h) Υ with 1 ≤ Υ < 2. ... The naive*Cardy*like analysis provides us with an expression for the asymptotic density of states where h andh are of the same order. ... We compare this with the result in [19] , where the*Cardy*formula is reported to be applicable for * * = ¯ > 1 24 2 . ...##
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The Cardy–Cartan modular invariant
[chapter]

2012
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Strings, Gauge Fields, and the Geometry Behind
*

Using factorizable Hopf algebras, we construct modular invariant partition functions of charge conjugation, or

doi:10.1142/9789814412551_0013
fatcat:xwsk2tp67fg3rhkopcg4zaynee
*Cardy*, type as characters of coends in categories that share essential features with the ones ... When compatible conformally invariant boundary conditions of the CFT are considered, this solution is also referred to as the '*Cardy*case'. ... For such theories, the only systematic information about torus partition functions seems to be the one about the*Cardy*-Cartan invariant discussed here (together with some automorphism-twisted versions ...##
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Supersymmetric Semisimple Cardy-Frobenius Algebras
[article]

2015
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arXiv
*
pre-print

We prove that every semisimple super

arXiv:1504.07930v1
fatcat:ebmzag3oqngfnayh26kntkb4t4
*Cardy*-Frobenius algebras is the direct sum of the super*Cardy*-Frobenius algebras of three simple types. ...*Cardy*-Frobenius algebra is the algebraic structure on the space of states in open-closed topological field theory. ... Then it is a*Cardy*-Frobenius algebra. Proof. Let us check the*Cardy*condition. ...##
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Cardy Algebras and Sewing Constraints, I

2009
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Communications in Mathematical Physics
*

The relation of

doi:10.1007/s00220-009-0901-6
fatcat:oaqqn3b3ujdbldyd4azzm63aiq
*Cardy*algebras to the solutions of the sewing constraints is the topic of part two. ... In part one we review the definition of a*Cardy*algebra, which captures the necessary consistency conditions of the theory at genus 0 and 1. ... Definition 3.7 (*Cardy*C|C 2 ± -algebra I). ...##
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Beyond logarithmic corrections to Cardy formula

2011
*
Journal of High Energy Physics
*

As shown by

doi:10.1007/jhep01(2011)110
fatcat:uu6bdcdqxnduta6y6ixiqn27ya
*Cardy*modular invariance of the partition function of a given unitary non-singular 2d CFT with left and right central charges c_L and c_R, implies that the density of states in a microcanonical ... = ln π 3/2 3 √ 2 c tot + S*Cardy*− 3 2 ln S*Cardy*+ O 1 S*Cardy*, (4.1b) where S*Cardy*is given in (2.18) . ... It can be shown that b tot − ln (S*Cardy*) + ln(I 1 (S*Cardy*)) , I 1 (S*Cardy*) , (3.45) where S*Cardy*and c tot are defined in (2.18). ...##
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Duality symmetry and the Cardy limit

2008
*
Journal of High Energy Physics
*

In the

doi:10.1088/1126-6708/2008/07/072
fatcat:udx7f5dj4vgcdk75lcwtljycri
*Cardy*limit an internal circle combines with the AdS_2 component in the near horizon geometry to give a BTZ black hole whose entropy is given by the*Cardy*formula. ... We find, both in the supersymmetric and non-supersymmetric cases, that a generic set of charges cannot be brought to the*Cardy*limit using the duality symmetries. ...*Cardy*limit ? ...##
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A Extended Cosmological Cardy-Verlinde Formula
[article]

2010
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arXiv
*
pre-print

In this work we construct a extension of the

arXiv:1011.5252v1
fatcat:vpsveb5qkfcotjpaggen7v7yyq
*Cardy*-Verlinde formula to positive cosmological constant spaces (dS spaces) with arbitrary topology ... Also they propose a n dimensional generalization of a (1+1) dimensional CFT (conformal field theory) entropy formula called the*Cardy*formula (*Cardy*, 1986) , (*Cardy*, 1991) . ... formula. the*Cardy*-Verlinde formula for different values of cosmological constants. ...##
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Cardy Limits of 6d Superconformal Theories
[article]

2021
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arXiv
*
pre-print

We further extend our analysis to the general E-string theory and obtain its

arXiv:2006.10294v2
fatcat:53jlf5vz4jebfbfapllmtcs25m
*Cardy*free energy. ... We utilize the elliptic genera for self-dual strings and compute the free energy of 6d SCFTs in the*Cardy*limit. For a 6d (2,0) theory on N M5-brane, we obtain the free energy proportional to N^3. ... The*Cardy*limit refers to the large momenta limit, analogous to the original*Cardy*limit in 2d CFT [23] . ...##
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Wronskians, dualities and FZZT-Cardy branes

2016
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Nuclear Physics B
*

Since they are consistent with the Seiberg-Shih relation, we propose that these new degrees of freedom can be identified as FZZT-

doi:10.1016/j.nuclphysb.2016.06.014
fatcat:ittaeveckzepbfv2watheyad4e
*Cardy*branes in Liouville theory. ... This means that FZZT-*Cardy*branes are the bound states of elemental FZZT branes (i.e. the twisted fermions) rather than the bound states of principal FZZT-brane (i.e. the resolvent operator). ... What we focus on is the disk amplitudes of FZZT-*Cardy*brane, ϕ (r,s)*Cardy*(t; ζ ), and of its dual, ϕ (s,r)*Cardy*(t; η): ϕ (r,s)*Cardy*(t; ζ ) ≡ φ (r,s)*Cardy*(ζ ) (0) t (r,s)*Cardy*(ζ ) = eφ (r,s)*Cardy*...##
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Cardy algebras and sewing constraints, II

2014
*
Advances in Mathematics
*

In part I,

doi:10.1016/j.aim.2014.05.020
fatcat:mmfilizytvh7zkzir2ie3nvs2e
*Cardy*algebras were studied, a notion which arises from the classification of genus-0,1 open-closed rational conformal field theories. ... In this part, we prove that a*Cardy*algebra also satisfies the higher genus factorisation and modular-invariance properties formulated in arXiv:hep-th/0612306 in terms of the notion of a solution to the ... The*Cardy*algebra will be defined on the images of f po and f pc . ...
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