# Role of Faddeevian anomaly in the s-wave scattering of chiral fermion off dilaton black holes towards preservation of information

## TL;DR

This paper investigates how the Faddeevian anomaly influences s-wave scattering of chiral fermions off dilaton black holes, demonstrating its role in preserving information contrary to the Jackiw-Rajaraman anomaly.

## Contribution

It shows that the Faddeevian anomaly leads to information-preserving scattering results, aligning with Hawking's revised information loss proposal, unlike the Jackiw-Rajaraman anomaly.

## Key findings

- Faddeevian anomaly results in information preservation in scattering.
- Jackiw-Rajaraman anomaly leads to information loss.
- Detailed analysis compares both anomalies' effects on black hole scattering.

## Abstract

It was found that s-wave scattering of chiral fermion off dilaton black-hole when studied with a model generated from the chiral Schwinger model with standard Jackiw-Rajaraman type of anomaly provided information non preserving result. However this scattering problem when studied with a model generated from chiral Schwinger model with generalized Faddeevian type of anomaly. rendered information preserving result and it had well agreement with Hawking's revised proposal related to information loss. A minute and equitable investigation in detail has been carried out here to show how Faddeevian type of anomaly scores over the Jackiw-Rajaraman type of anomaly in connection with the s-wave scattering of chiral fermion of dilaton black-hole related to preservation of information.