### Three-point functions in duality-invariant higher-derivative gravity

Here, doubled α'-geometry is the simplest higher-derivative gravitational theory with exact global duality symmetry. We use the double metric formulation of this theory to compute on-shell three-point functions to all orders in α'. A simple pattern emerges when comparing with the analogous bosonic and heterotic three-point functions. As in these theories, the amplitudes factorize. The theory has no Gauss-Bonnet term, but contains a Riemann-cubed interaction to second order in α'.

- Publication Date:

- Report Number(s):
- MIT-CTP/4766

Journal ID: ISSN 1029-8479; PII: 3416

- Grant/Contract Number:
- SC0012567

- Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 3; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Research Org:
- Massachusetts Institute of Technology, Cambridge, MA (United States); Massachusetts Institute of Technology

- Sponsoring Org:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; global symmetries; models of quantum gravity; scattering amplitudes; string duality

- OSTI Identifier:
- 1326974

- Alternate Identifier(s):
- OSTI ID: 1395537

```
Naseer, Usman, and Zwiebach, Barton.
```*Three-point functions in duality-invariant higher-derivative gravity*. United States: N. p.,
Web. doi:10.1007/JHEP03(2016)147.

```
Naseer, Usman, & Zwiebach, Barton.
```*Three-point functions in duality-invariant higher-derivative gravity*. United States. doi:10.1007/JHEP03(2016)147.

```
Naseer, Usman, and Zwiebach, Barton. 2016.
"Three-point functions in duality-invariant higher-derivative gravity". United States.
doi:10.1007/JHEP03(2016)147. https://www.osti.gov/servlets/purl/1326974.
```

```
@article{osti_1326974,
```

title = {Three-point functions in duality-invariant higher-derivative gravity},

author = {Naseer, Usman and Zwiebach, Barton},

abstractNote = {Here, doubled α'-geometry is the simplest higher-derivative gravitational theory with exact global duality symmetry. We use the double metric formulation of this theory to compute on-shell three-point functions to all orders in α'. A simple pattern emerges when comparing with the analogous bosonic and heterotic three-point functions. As in these theories, the amplitudes factorize. The theory has no Gauss-Bonnet term, but contains a Riemann-cubed interaction to second order in α'.},

doi = {10.1007/JHEP03(2016)147},

journal = {Journal of High Energy Physics (Online)},

number = 3,

volume = 2016,

place = {United States},

year = {2016},

month = {3}

}