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We analyze aspects of extant examples of 2d extremal chiral (super)conformal field theories with $cleq 24$. These are theories whose only operators with dimension smaller or equal to $c/24$ are the vacuum and its (super)Virasoro descendents. The prototypical example is the monster CFT, whose famous genus zero property is intimately tied to the Rademacher summability of its twined partition functions, a property which also distinguishes the functions of Mathieu and umbral moonshine. However, there are now several additional known examples of extremal CFTs, all of which have at least $mathcal N=1$ supersymmetry and global symmetry groups connected to sporadic simple groups. We investigate the extent to which such a property, which distinguishes the monster moonshine module from other $c=24$ chiral CFTs, holds for the other known extremal theories. We find that in most cases, the special Rademacher summability property present for monstrous and umbral moonshine does not hold for the other extremal CFTs, with the exception of the Conway module and two $c=12, ~mathcal N=4$ superconformal theories with $M_{11}$ and $M_{22}$ symmetry. This suggests that the connection between extremal CFT, sporadic groups, and mock modular forms transcends strict Rademacher summability criteria.
We consider the Attractor Equations of particular $mathcal{N}=2$, d=4 supergravity models whose vector multiplets scalar manifold is endowed with homogeneous symmetric cubic special K{a}hler geometry, namely of the so-called $st^{2}$ and $stu$ models
Using the symmetry of the near-horizon geometry and applying quantum field theory of a complex scalar field, we study the spontaneous pair production of charged scalars from near-extremal rotating, electrically and/or magnetically charged black holes
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We investigate the hypothesis that the higher-derivative corrections always make extremal non-supersymmetric black holes lighter than the classical bound and self-repulsive. This hypothesis was recently formulated in the context of the so-called swam
Recently, the modular linear differential equation (MLDE) for level-two congruence subgroups $Gamma_theta, Gamma^{0}(2)$ and $Gamma_0(2)$ of $text{SL}_2(mathbb{Z})$ was developed and used to classify the fermionic rational conformal field theories (R