Aradhita Chattopadhyaya

activity

20162026

most citedDyon degeneracies from Mathieu moonshine

10 citations · 54 across the 14 of their papers we have counts for

collaborators

14 papers

math.NT2026

Iterated integrals for generalized Appell functions

Aradhita Chattopadhyaya, Jan Manschot

Appell functions are a large class of multi-variable quasi-elliptic functions, which are also instances of higher depth mock modular forms. A central aspect of these functions is t…

hep-th2026

Remarks on Vafa-Witten theory, or how to sit on a wall

Sergei Alexandrov, Aradhita Chattopadhyaya

We prove three results about refined $S U (N)$ VW invariants on Hirzebruch surfaces. First, we crucially simplify the modular anomaly equation satisfied by the generating series of t…

math.NT2025

Appell Functions for General Lattices

Aradhita Chattopadhyaya, Jan Manschot

We study Appell functions associated to an arbitrary positive definite lattice $Λ$ and a choice of $M \leq dim (Λ)$ linearly independent vectors $d_{r} \in Λ$ , $r = 1, \dots, M$ . Thes…

hep-th2023

Sign of BPS index for $N = 4$ dyons

Aradhita Chattopadhyaya

In this paper we argue how the sign changes on an average for the positive weight mock modular forms associated with the $N = 4$ type II string black holes compactified on orb…

hep-th2023

Numerical experiments on coefficients of instanton partition functions

Aradhita Chattopadhyaya, Jan Manschot

We analyze the coefficients of partition functions of Vafa-Witten theory for the complex projective plane $CP^{2}$ . We experimentally study the growth of the coefficients fo…

hep-th2021★ 9 cited

Scaling Black Holes and Modularity

Aradhita Chattopadhyaya, Jan Manschot, Swapnamay Mondal

Scaling black holes are solutions of supergravity with multiple black hole singularities, which can be adiabatically connected to a single center black hole solution. We develop te…

hep-th2020★ 4 cited

Horizon states and the sign of their index in $N = 4$ dyons

Aradhita Chattopadhyaya, Justin R. David

Classical single centered solutions of $1/4$ BPS dyons in $N = 4$ theories are usually constructed in duality frames which contain non-trivial hair degrees of freedom localize…

hep-th2020★ 2 cited

Gravitational couplings in $N = 2$ heterotic compactifications with Wilson lines

Aradhita Chattopadhyaya

In this paper we compute the gravitational couplings of the heterotic string compactified on $(K 3 \times T^{2}) / Z_{N}$ and $E_{8} \times E_{8}$ and predict the Gopakumar Vafa invari…

hep-th2019★ 3 cited

Heterotic strings on $(K 3 \times T^{2}) / Z_{3}$ and their dual Calabi-Yau threefolds

Andreas Banlaki, Aradhita Chattopadhyaya, Abhiram Kidambi +2

In this paper we study compactifications of the $N = 2$ heterotic $E_{8} \times E_{8}$ string on $(K 3 \times T^{2}) / Z_{3}$ with various gauge backgrounds and calculate the topo…

hep-th2018★ 8 cited

Properties of dyons in $N = 4$ theories at small charges

Aradhita Chattopadhyaya, Justin R. David

We study three properties of $1/4$ BPS dyons at small charges in string compactifications which preserve $N = 4$ supersymmetry. We evaluate the non-trivial constant present in…

hep-th2018★ 7 cited

Gravitational couplings in $N = 2$ string compactifications and Mathieu Moonshine

Aradhita Chattopadhyaya, Justin R. David

We evaluate the low energy gravitational couplings, $F_{g}$ in the heterotic $E_{8} \times E_{8}$ string theory compactified on orbifolds of $K 3 \times T^{2}$ by $g^{'}$ which acts as a $\mathb…

math.NT2017★ 1 cited

A simple method to extract the zeros of some Eisenstein series of level $N$

Aradhita Chattopadhyaya

This paper provides a simple method to extract the zeros of some weight two Eisenstein series of level $N$ where $N = 2, 3, 5$ and $7$ . The method is based on the observation that thes…

hep-th2017★ 10 cited

Dyon degeneracies from Mathieu moonshine

Aradhita Chattopadhyaya, Justin R. David

We construct the Siegel modular forms associated with the theta lift of twisted elliptic genera of $K 3$ orbifolded with $g^{'}$ corresponding to the conjugacy classes of the Mathieu g…

hep-th2016★ 10 cited

$N = 2$ heterotic string compactifications on orbifolds of $K 3 \times T^{2}$

Aradhita Chattopadhyaya, Justin R. David

We study $N = 2$ compactifications of $E_{8} \times E_{8}$ heterotic string theory on orbifolds of $K 3 \times T^{2}$ by $g^{'}$ which acts as an $Z_{N}$ automorphism of $K 3$ toge…

Iterated integrals for generalized Appell functions

Remarks on Vafa-Witten theory, or how to sit on a wall

Appell Functions for General Lattices

Sign of BPS index for N=4 dyons

Numerical experiments on coefficients of instanton partition functions

Scaling Black Holes and Modularity

Horizon states and the sign of their index in N=4 dyons

Gravitational couplings in N=2 heterotic compactifications with Wilson lines

Heterotic strings on (K3×T2)/Z3​ and their dual Calabi-Yau threefolds

Properties of dyons in N=4 theories at small charges

Gravitational couplings in N=2 string compactifications and Mathieu Moonshine

A simple method to extract the zeros of some Eisenstein series of level N

Dyon degeneracies from Mathieu moonshine

N=2 heterotic string compactifications on orbifolds of K3×T2

Sign of BPS index for $N = 4$ dyons

Horizon states and the sign of their index in $N = 4$ dyons

Gravitational couplings in $N = 2$ heterotic compactifications with Wilson lines

Heterotic strings on $(K 3 \times T^{2}) / Z_{3}$ and their dual Calabi-Yau threefolds

Properties of dyons in $N = 4$ theories at small charges

Gravitational couplings in $N = 2$ string compactifications and Mathieu Moonshine

A simple method to extract the zeros of some Eisenstein series of level $N$

$N = 2$ heterotic string compactifications on orbifolds of $K 3 \times T^{2}$