# Brane gaugino condensate in 10d

## TL;DR

This paper develops a 10d framework for brane gaugino interactions, resolving divergences and aligning with 4d supergravity, which is crucial for understanding moduli stabilization and de Sitter constructions in string theory.

## Contribution

It introduces a 4-fermion operator extension to the brane action, fixing UV divergences and matching 4d supergravity results, impacting KKLT and swampland debates.

## Key findings

- UV divergence is canceled with the new 4-fermion term
- Reproduces the structure of 4d supergravity upon compactification
- Suggests reconsideration of 10d approaches to KKLT

## Abstract

We analyze the structure of gaugino interactions on D7-branes from a 10d perspective. This is essential if one wants to lift the standard 4d approach to type IIB moduli stabilization to 10d. In particular, a 10d picture has recently been used to raise concerns about the KKLT proposal for constructing de Sitter vacua, and to lend support to swampland conjectures against de Sitter. However, the analyses of brane gaugino condensation so far are plagued by UV divergences and do not include local 4-fermion terms. They also fail to reproduce the 4-fermion terms required by supergravity when compactified to four dimensions. Motivated by the structure of heterotic and Horava-Witten theories, we suggest an extension of the brane action by a particular 4-fermion operator that resolves the above problems. Crucially, the UV divergence is cancelled and the expected structure of the 4d effective action is reproduced. We believe that attempts at a 10d description of KKLT have to be reconsidered in this new light.