Fermionic modes of D-instanton wormholes from broken local supersymmetry

TL;DR

This paper investigates how broken local supersymmetry modes in supergravity influence boundary fermionic modes in D-instanton wormholes, revealing non-trivial scalar two-point functions and their implications.

Contribution

It demonstrates the connection between bulk broken supersymmetry modes and boundary fermionic modes via current-current correlators in D-instanton wormholes.

Findings

Non-vanishing scalar two-point functions in supergravity

Broken supersymmetry modes induce boundary fermionic modes

Method applicable to multi D-instanton and Euclidean brane configurations

Abstract

In low-energy supergravity treatment of type IIB superstring on general D-instanton wormhole profiles in the bulk, we obtain non-vanishing scalar two-point functions in addition to the vanishing $\langle \tau^* \tau^* \rangle$ that corresponds to the BPS amplitude detected by two D-instantons at their respective boundaries. This is exploited to show that the modes of broken local supersymmetry in the bulk deliver the fermionic (diagonal) modes on the boundaries through the deformation by the form of current-current two point functions propagating on the tree level cylinder geometry. Our treatment is generalizable to multi D-instanton cases and general Euclidean branes.