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We construct the Siegel modular forms associated with the theta lift of twisted elliptic genera of $K3$ orbifolded with $g'$ corresponding to the conjugacy classes of the Mathieu group $M_{24}$. We complete the construction for all the…

High Energy Physics - Theory · Physics 2017-11-01 Aradhita Chattopadhyaya , Justin R. David

We initiate the study of $1/2$ BPS Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories in three dimensions. We consider a circular or linear quiver with Chern-Simons levels $k$, $-k$ and $0$, and focus on loops preserving one of…

High Energy Physics - Theory · Physics 2016-11-17 Michael Cooke , Nadav Drukker , Diego Trancanelli

We determine the generating functions of 1/4 BPS dyons in a class of 4d $\mathcal{N}=4$ string vacua arising as CHL orbifolds of $K3 \times T^2$, a classification of which has been recently completed. We show that all such generating…

High Energy Physics - Theory · Physics 2017-06-07 Natalie M. Paquette , Roberto Volpato , Max Zimet

We present BPS black hole solutions in a four-dimensional $\mathcal{N}=2$ supergravity with an abelian dyonic gauging of the universal hypermultiplet moduli space. This supergravity arises as the SU(3)-invariant subsector in the reduction…

High Energy Physics - Theory · Physics 2017-10-25 Adolfo Guarino , Javier Tarrio

We derive a $U$-duality invariant formula for the degeneracies of BPS multiplets in a D1-D5 system for toroidal compactification of the type II string. The elliptic genus for this system vanishes, but it is found that BPS states can…

High Energy Physics - Theory · Physics 2017-09-07 Juan Maldacena , Gregory Moore , Andrew Strominger

Following the suggestion of hep-th/0506249 and hep-th/0612011, we represent quarter BPS dyons in N=4 supersymmetric string theories as string network configuration and explore the role of genus two surfaces in determining the spectrum of…

High Energy Physics - Theory · Physics 2009-04-17 Shamik Banerjee , Ashoke Sen , Yogesh K. Srivastava

The microscopic formula for the degeneracies of 1/8 BPS black holes in type II string theory compactified on a six dimensional torus can be expressed as a sum of several terms. One of the terms is a function of the Cremmer-Julia invariant…

High Energy Physics - Theory · Physics 2010-03-02 Ashoke Sen

We report on duality invariant constraints, which allow a classification of BPS black holes preserving different fractions of supersymmetry. We then relate this analysis to the orbits of the exceptional groups $E_{6(6)}, E_{7(7)}$, relevant…

High Energy Physics - Theory · Physics 2015-06-26 S. Ferrara

Taking as starting point a Lorentz and CPT non-invariant Chern-Simons-like model defined in 1+3 dimensions, we proceed realizing its dimensional reduction to D=1+2. One then obtains a new planar model, composed by the Maxwell-Chern-Simons…

High Energy Physics - Theory · Physics 2014-11-18 H. Belich , M. M. Ferreira , J. A. Helayel-Neto , M. T. D. Orlando

We study exponentially suppressed contributions to the degeneracies of extremal black holes. Within Sen's quantum entropy function framework and focusing on extremal black holes with an intermediate AdS3 region, we identify an infinite…

High Energy Physics - Theory · Physics 2009-09-28 Sameer Murthy , Boris Pioline

In this paper, we report a more general class of nondegenerate soliton solutions, associated with two distinct wave numbers in different modes, for a certain class of physically important integrable two component nonlinear Schr\"{o}dinger…

Exactly Solvable and Integrable Systems · Physics 2019-12-10 S. Stalin , R. Ramakrishnan , M. Lakshmanan

The purpose of this brief note is to understand the reason for the appearance of a genus two Riemann surface in the expression for the microscopic degeneracy of 1/4 BPS dyons in N=4 String Theory.

High Energy Physics - Theory · Physics 2007-05-23 Davide Gaiotto

We construct the partition function of 1/8 BPS dyons in type II string theory on T^6 from counting of microstates of a D1-D5 system in Taub-NUT space. Our analysis extends the earlier ones by Shih, Strominger and Yin and by Pioline by…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

A two charge system in string theory preserving eight supercharges can be described as a small black hole that has zero entropy in the supergravity approximation, but classical higher derivative corrections produce a finite entropy in…

High Energy Physics - Theory · Physics 2014-11-20 Ashoke Sen

We consider four-dimensional dyonic single-center BPS black holes in the $N=2$ STU model of Sen and Vafa. By working in a region of moduli space where the real part of two of the three complex scalars $S, T, U$ are taken to be large, we…

High Energy Physics - Theory · Physics 2020-08-24 G. L. Cardoso , S. Nampuri , D. Polini

Strong evidence indicates that the spectrum of planar anomalous dimensions of N=4 super Yang-Mills theory is given asymptotically by Bethe equations. A curious observation is that the Bethe equations for the psu(1,1|2) subsector lead to…

High Energy Physics - Theory · Physics 2009-11-18 Niklas Beisert , Benjamin I. Zwiebel

We examine the recently proposed relations between black hole entropy and the topological string in the context of type II/heterotic string dual models. We consider the degeneracies of perturbative heterotic BPS states. In several examples…

High Energy Physics - Theory · Physics 2010-02-03 Atish Dabholkar , Frederik Denef , Gregory W. Moore , Boris Pioline

In this study, we employ the scalar perturbations of the charged dilaton black hole (CDBH) found by Chan, Horne and Mann (CHM), and described with an action which emerges in the low-energy limit of the string theory. A CDBH is neither…

General Relativity and Quantum Cosmology · Physics 2013-08-21 I. Sakalli

We consider compactifications of heterotic string theory to four dimensions on CHL orbifolds of the type T^6 /Z_N with 16 supersymmetries. The exact partition functions of the quarter-BPS dyons in these models are given in terms of…

High Energy Physics - Theory · Physics 2014-11-18 Miranda C. N. Cheng , Atish Dabholkar

We construct new large classes of BPS Wilson hyperloops in three-dimensional ${\cal N}=4$ quiver Chern-Simons-matter theory on $S^3$. The main strategy is to start with the 1/2 BPS Wilson loop of this theory, choose any linear combination…

High Energy Physics - Theory · Physics 2022-08-22 Nadav Drukker , Ziwen Kong , Malte Probst , Marcia Tenser , Diego Trancanelli