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Cardy & Kerr

Vishnu Jejjala, Suresh Nampuri
2010 Journal of High Energy Physics  
The Kerr/CFT correspondence employs the 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.  ... 
doi:10.1007/jhep02(2010)088 fatcat:sqqo5t6jxvfjbnmik3h3u2rvby

CARDI-O-METER

1941 Journal of the American Medical Association (JAMA)  
EDITORIALS 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?  ... 
doi:10.1001/jama.1941.02820460047013 fatcat:fsiep53rijckbkyy3ix5qc5vwm

6d superconformal Cardy formulas [article]

June Nahmgoong
2020 arXiv   pre-print
In the 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] .  ... 
arXiv:1907.12582v2 fatcat:mcyzxzoyrfarrcgnxioofdng4y

6d superconformal Cardy formulas

June Nahmgoong
2021 Journal of High Energy Physics  
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.  ...  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.  ... 
doi:10.1007/jhep02(2021)092 fatcat:z73mrbwmafh65pjoare7356fwy

Tauberian-Cardy formula with spin [article]

Sridip Pal, Zhengdi Sun
2020 arXiv   pre-print
We show that we can trust the naive 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 .  ... 
arXiv:1910.07727v2 fatcat:34u3ycturfcy3gzwqjtfvmgdzy

Tauberian-Cardy formula with spin

Sridip Pal, Zhengdi Sun
2020 Journal of High Energy Physics  
We show that we can trust the naive 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 .  ... 
doi:10.1007/jhep01(2020)135 fatcat:dexiogdkqvhthkvkov6p657ee4

The Cardy–Cartan modular invariant [chapter]

Jürgen Fuchs, Christoph Schweigert, Carl Stigner
2012 Strings, Gauge Fields, and the Geometry Behind  
Using factorizable Hopf algebras, we construct modular invariant partition functions of charge conjugation, or 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  ... 
doi:10.1142/9789814412551_0013 fatcat:xwsk2tp67fg3rhkopcg4zaynee

Supersymmetric Semisimple Cardy-Frobenius Algebras [article]

A. Ionov
2015 arXiv   pre-print
We prove that every semisimple super 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.  ... 
arXiv:1504.07930v1 fatcat:ebmzag3oqngfnayh26kntkb4t4

Cardy Algebras and Sewing Constraints, I

Liang Kong, Ingo Runkel
2009 Communications in Mathematical Physics  
The relation of 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).  ... 
doi:10.1007/s00220-009-0901-6 fatcat:oaqqn3b3ujdbldyd4azzm63aiq

Beyond logarithmic corrections to Cardy formula

Farhang Loran, M. M. Sheikh-Jabbari, Massimiliano Vincon
2011 Journal of High Energy Physics  
As shown by 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).  ... 
doi:10.1007/jhep01(2011)110 fatcat:uu6bdcdqxnduta6y6ixiqn27ya

Duality symmetry and the Cardy limit

Suresh Nampuri, Prasanta K.Tripathy, Sandip P Trivedi
2008 Journal of High Energy Physics  
In the 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 ?  ... 
doi:10.1088/1126-6708/2008/07/072 fatcat:udx7f5dj4vgcdk75lcwtljycri

A Extended Cosmological Cardy-Verlinde Formula [article]

Thiago G. Prado, Marcos C. Verges
2010 arXiv   pre-print
In this work we construct a extension of the 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.  ... 
arXiv:1011.5252v1 fatcat:vpsveb5qkfcotjpaggen7v7yyq

Cardy Limits of 6d Superconformal Theories [article]

Kimyeong Lee, June Nahmgoong
2021 arXiv   pre-print
We further extend our analysis to the general E-string theory and obtain its 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] .  ... 
arXiv:2006.10294v2 fatcat:53jlf5vz4jebfbfapllmtcs25m

Wronskians, dualities and FZZT-Cardy branes

Chuan-Tsung Chan, Hirotaka Irie, Benjamin Niedner, Chi-Hsien Yeh
2016 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-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  ... 
doi:10.1016/j.nuclphysb.2016.06.014 fatcat:ittaeveckzepbfv2watheyad4e

Cardy algebras and sewing constraints, II

Liang Kong, Qin Li, Ingo Runkel
2014 Advances in Mathematics  
In part I, 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 .  ... 
doi:10.1016/j.aim.2014.05.020 fatcat:mmfilizytvh7zkzir2ie3nvs2e
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