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# Freddy Cachazo

Areas of Research:
Phone: x8501

## Research Interests

In recent years it has become clear that the scattering matrix of massless particles is a very special object. Massless particles are the backbone of our best theory of nature; the Standard Model of particle physics and gravity. In 2003, Witten succeeded in combining twistor theory and string theory to produce a new formulation for the scattering matrix of gauge bosons - massless particles of helicity plus or minus one. Since then finding a similar formulation for gravitons - particles with helicity plus or minus two - has been a very important open problem. In 2012, in collaboration with Y. Geyer (a PSI student), I found one such formulation. Not long after this first formulation was found, I found a second one with D. Skinner (a PI's PDF). Witten's discovery led to great advanced in our understanding of quantum field theory. It is not unreasonable to expect that the new formulations for gravitons might lead to similar advances in gravity.

## Positions Held

• September 2009 - June 2010 School of Natural Sciences. Institute for Advanced Study. Princeton NJ. Member.
• 2005-present. Perimeter Institute. Faculty Member
• 2002-2005 School of Natural Sciences. Institute for Advanced Study. Princeton NJ. Postdoctoral Member.

## Awards

• 2012 CAP Herzberg Medal.
• 2009 Gribov Medal, European Physical Society (EPS)
• Early Reseach Award of Ontario (ERA).

## Recent Publications

• N. Arkani-Hamed, J. Bourjaily, F. Cachazo and J. Trnka, Local Integrals for Planar Scattering Amplitudes, JHEP 1206, 125 (2012), arxiv: 1012.6032
• N. Arkani-Hamed, J. Bourjaily, F. Cachazo, A. Hodges and J. Trnka, A Note on Polytopes for Scattering Amplitudes, JHEP 1204, 081 (2012) arxiv: 1012.6030
• N. Arkani-Hamed, J. Bourjaily, F. Cachazo, S. Caron-Huot and J. Trnka, The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM, JHEP {\bf 1101}, 041 (2011). arxiv: 1008.2958
• N. Arkani-Hamed, J. Bourjaily, F. Cachazo and J. Trnka, Unification of Residues and Grassmannian Dualities, JHEP 1101, 049 (2011). arxiv: 0912.4912
• N. Arkani-Hamed, J. Bourjaily, F. Cachazo, J. Trnka, Unification of Residues and Grassmannian Dualities, JHEP 1101 (2011) 049. arxiv: 0912.4912
• N. Arkani-Hamed, J. Bourjaily, F. Cachazo, J. Trnka, Local Spacetime Physics from the Grassmannian, JHEP 1101, 108 (2011). arxiv: 0912.3249
• N. Arkani-Hamed, F. Cachazo and C. Cheung, The Grassmannian Origin Of Dual Superconformal Invariance, JHEP {\bf 1003}, 036 (2010). arxiv: 0909.0483
• N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, A Duality For The S Matrix, JHEP 1003, 020 (2010). arxiv: 0907.5418
• N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, The S-Matrix in Twistor Space, JHEP 1003, 110 (2010). arxiv: 0903.2110
• N. Arkani-Hamed, F. Cachazo and J. Kaplan, What is the Simplest Quantum Field Theory?, JHEP 1009, 016 (2010). arxiv: 0808.1446
• F. Cachazo and D. Skinner, Gravity from Rational Curves, arxiv: 1207.0741
• F. Cachazo, L. Mason and D. Skinner, Gravity in Twistor Space and its Grassmannian Formulation, arxiv: 1207.4712
• F. Cachazo, Fundamental BCJ Relation in N=4 SYM From The Connected Formulation, arxiv: 1206.5970
• F. Cachazo and Y. Geyer, A 'Twistor String' Inspired Formula For Tree-Level Scattering Amplitudes in N=8 SUGRA, arxiv: 1206.6511

## Seminars

• The Geometry of Scattering Amplitudes. BIRS. Banff. Calgary, Canada, August 2012.
• 2012 CAP Congress. Canadian Association of Physicists (CAP) General Meeting. University of Calgary, Calgary, Canada, June 2012
• STRINGS 2012, Munich, Germany, June 2012.
• Amplitudes 2012, DESY, Hamburg, Germany, March 2012
• Amplitudes 2011, University of Michigan, Michigan, USA, November 2011
• Grassmannians and Scattering Amplitudes. Canadian Mathematical Society Meeting. Edmonton, Alberta, Canada. June 2011
• Four Lectures on Scattering Amplitudes at Weak Coupling. Abdus Salam ICTP, Trieste, Italy. April 2011
• Five Lectures on Introduction to Twistor Methods and the S-Matrix. String Theory Latin-American School. Sao Paolo, Brazil. December 2010.
• PiTP. Aspects of Supersymmetry, Institute for Advanced Study, Princeton, New Jersey, USA, July 2010
• XVIth European Workshop on String Theory, Spain, June 2010
• Gribov-80 Memorial Symposium, Abdus Salam ICTP, Trieste, Italy, May 2010
• Joint theory seminar, Harvard University, Cambridge, Massachusetts, USA, April 2010
• The Simons Center for Geometry and Physics, New York, USA, February 2010
• APS April" Meeting, Washington, DC, USA, February 2010
• S-Matrix Theory. Abdus Salam ICTP. Trieste. Italy.
• What is the simplest quantum field theory?. Strings 2008. CERN.
• BIRS String Workshop, Banff, Alberta, Canada, February 2006
• STRINGS 2005, University of Toronto, Canada, July 2005
• CMS/CSHPM Summer 2005 Meeting, String Theory and Integrable Systems Session, University of Waterloo, Waterloo, Canada, June 2005
• QCD and String Theory, KITP, Santa Barbara, USA, November 2004
• 28th Johns Hopkins Workshop on Current Problems in Particle Theory: Hyperspace, Superspace, Theory Space and Outer Space, Baltimore, Maryland, USA, Jun 2004
• PIRSA:09010009, The S-matrix reloaded, 2009-01-21, Colloquium