Stringy dynamics from an amplitudes bootstrap
Abstract
We describe an analytic procedure whereby scattering amplitudes are bootstrapped directly from an input mass spectrum and a handful of physical constraints: crossing symmetry, boundedness at high energies, and finiteness of exchanged spins. For an integer spectrum, this procedure gives a first principles derivation of a new infinite parameter generalization of the Veneziano amplitude that is unitary while exhibiting dual resonance and consistent high-energy behavior. Lifting to a q-deformed integer spectrum, we derive the Coon amplitude and its analogous generalizations. Finally, we apply this logic to derive an infinite class of deformed Virasoro-Shapiro amplitudes.
Copyright and License
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
Funded by SCOAP3.
Acknowledgement
We thank Zohar Komargodski, Julio Parra-Martinez, John Schwarz, and Sasha Zhiboedov for comments. C. C. is supported by the Department of Energy (Grant No. DE-SC0011632) and by the Walter Burke Institute for Theoretical Physics. G. N. R. is supported at the Kavli Institute for Theoretical Physics by the Simons Foundation (Grant No. 216179) and the National Science Foundation (Grant No. NSF PHY-1748958) and at the University of California, Santa Barbara by the Fundamental Physics Fellowship.
Files
| Name | Size | Download all |
|---|---|---|
|
md5:b17616a0087182b520bcf10f0628657c
|
344.6 kB | Preview Download |
Additional details
- ISSN
- 2470-0029
- United States Department of Energy
- DE-SC0011632
- Walter Burke Institute for Theoretical Physics
- University of California, Santa Barbara
- Simons Foundation
- 216179
- National Science Foundation
- PHY-1748958
- Caltech groups
- Walter Burke Institute for Theoretical Physics