dorsal/arxiv
View SchemaNote on Pure D-brane (non--)BPS Black Hole Microstate Counting in Type IIA Superstring Theory
| Authors | Sourav Maji, Abhishek Chowdhury |
|---|---|
| Categories | |
| ArXiv ID | 2601.07927vv1 |
| URL | https://arxiv.org/abs/2601.07927 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
In this note we explore computational algebraic geometry techniques to compute $14^{th}$ Helicity Trace Index of 4--charge, $\frac{1}{8}$--BPS, $\mathcal{N}=8$ pure D-brane configurations dual to D1--D5--P--KK monopole dyonic black holes. We extend the analysis of our previous work \cite{Chowdhury:2023wss} to higher values of charges and fix subtleties involving compatible gauge choices for $(1,1,1,N)$ charge configurations. For explicit SUSY state counting, we use a parametric monodromy method for the 4--charge $(1,1,1,5)$ and $(1,1,1,6)$ configurations and find that the results match the U--dual picture. By a different choice of the R--symmetry representations, it is possible to explicitly break all supersymmetry and study (non--)abelian static matrix models versions as 4--charge non--BPS pure D-brane systems \cite{Mondal:2024qyn}. Using analytical Gr\"{o}bner bases we show that the potential has no zero energy configuration. The higher end of the spectrum asymptotes towards the Coulomb branch local minima manifold representing unbounded D--brane configurations, and the Mixed branch global minima represent bound states at parametrically lower values of the potential. We developed physics--inspired computational techniques to deform the potentials and lift the flat directions, thereby counting the low--energy states with degeneracy.
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"abstract": "In this note we explore computational algebraic geometry techniques to compute $14^{th}$ Helicity Trace Index of 4--charge, $\\frac{1}{8}$--BPS, $\\mathcal{N}=8$ pure D-brane configurations dual to D1--D5--P--KK monopole dyonic black holes. We extend the analysis of our previous work \\cite{Chowdhury:2023wss} to higher values of charges and fix subtleties involving compatible gauge choices for $(1,1,1,N)$ charge configurations. For explicit SUSY state counting, we use a parametric monodromy method for the 4--charge $(1,1,1,5)$ and $(1,1,1,6)$ configurations and find that the results match the U--dual picture. By a different choice of the R--symmetry representations, it is possible to explicitly break all supersymmetry and study (non--)abelian static matrix models versions as 4--charge non--BPS pure D-brane systems \\cite{Mondal:2024qyn}. Using analytical Gr\\\"{o}bner bases we show that the potential has no zero energy configuration. The higher end of the spectrum asymptotes towards the Coulomb branch local minima manifold representing unbounded D--brane configurations, and the Mixed branch global minima represent bound states at parametrically lower values of the potential. We developed physics--inspired computational techniques to deform the potentials and lift the flat directions, thereby counting the low--energy states with degeneracy.",
"arxiv_id": "2601.07927",
"authors": [
"Sourav Maji",
"Abhishek Chowdhury"
],
"categories": [
"hep-th"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Note on Pure D-brane (non--)BPS Black Hole Microstate Counting in Type IIA Superstring Theory",
"url": "https://arxiv.org/abs/2601.07927",
"version": "v1"
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