## M5-brane and D-brane scattering amplitudes

## Abstract

We present tree-level $$\mathcal{n}$$-particle on-shell scattering amplitudes of various brane theories with 16 conserved supercharges. These include the world-volume theory of a probe D3-brane or D5-brane in 10D Minkowski spacetime as well as a probe M5-brane in 11D Minkowski spacetime, which describes self interactions of an abelian tensor supermultiplet with 6D (2, 0) supersymmetry. Twistor-string-like formulas are proposed for tree-level scattering amplitudes of all multiplicities for each of these theories. The R symmetry of the D3-brane theory is shown to be SU(4) × U(1), and the U(1) factor implies that its amplitudes are helicity conserving. Each of 6D theories (D5-brane and M5-brane) reduces to the D3-brane theory by dimensional reduction. Conclusively, as special cases of the general M5-brane amplitudes, we present compact formulas for examples involving only the self-dual *B* field with $$\mathcal{n}$$ = 4, 6, 8.

- Authors:

- California Inst. of Technology (CalTech), Pasadena, CA (United States)
- Univ. of California, Los Angeles, CA (United States)

- Publication Date:

- Research Org.:
- California Inst. of Technology (CalTech), Pasadena, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1501891

- Grant/Contract Number:
- SC0010255; SC0011632

- Resource Type:
- Accepted Manuscript

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

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 12; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; D-branes; Extended Supersymmetry; M-Theory; Scattering Amplitudes

### Citation Formats

```
Heydeman, Matthew, Schwarz, John H., and Wen, Congkao. M5-brane and D-brane scattering amplitudes. United States: N. p., 2017.
Web. doi:10.1007/jhep12(2017)003.
```

```
Heydeman, Matthew, Schwarz, John H., & Wen, Congkao. M5-brane and D-brane scattering amplitudes. United States. doi:10.1007/jhep12(2017)003.
```

```
Heydeman, Matthew, Schwarz, John H., and Wen, Congkao. Fri .
"M5-brane and D-brane scattering amplitudes". United States. doi:10.1007/jhep12(2017)003. https://www.osti.gov/servlets/purl/1501891.
```

```
@article{osti_1501891,
```

title = {M5-brane and D-brane scattering amplitudes},

author = {Heydeman, Matthew and Schwarz, John H. and Wen, Congkao},

abstractNote = {We present tree-level $\mathcal{n}$-particle on-shell scattering amplitudes of various brane theories with 16 conserved supercharges. These include the world-volume theory of a probe D3-brane or D5-brane in 10D Minkowski spacetime as well as a probe M5-brane in 11D Minkowski spacetime, which describes self interactions of an abelian tensor supermultiplet with 6D (2, 0) supersymmetry. Twistor-string-like formulas are proposed for tree-level scattering amplitudes of all multiplicities for each of these theories. The R symmetry of the D3-brane theory is shown to be SU(4) × U(1), and the U(1) factor implies that its amplitudes are helicity conserving. Each of 6D theories (D5-brane and M5-brane) reduces to the D3-brane theory by dimensional reduction. Conclusively, as special cases of the general M5-brane amplitudes, we present compact formulas for examples involving only the self-dual B field with $\mathcal{n}$ = 4, 6, 8.},

doi = {10.1007/jhep12(2017)003},

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

number = 12,

volume = 2017,

place = {United States},

year = {2017},

month = {12}

}