Matthew Dominique Mitchell
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
Matthew Dominique Mitchell has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Elliot Blackstone
Department of Mathematics, University of Michigan, Ann Arbor, USA
2 shared publications - Peter D. Miller
Department of Mathematics, University of Michigan, Ann Arbor, USA
2 shared publications - Henriette Elvang
University of Michigan
1 shared publication
Latest Publications
- Top Cited PapersOpen Access
- 23 February 2026
- Published by Springer Nature in Communications in Mathematical Physics
- Vol. 407 (3) , 60
Universality in the Small-Dispersion Limit of the Benjamin–Ono Equation
We examine the solution of the Benjamin–Ono Cauchy problem for rational initial data in three types of double-scaling limits in which the dispersion tends to zero while simultaneously the independent variables either approach a point on one of the two branches of the caustic curve of the inviscid Burgers equation, or approach the critical point where the branches meet. The results reveal universal limiting profiles in each case that are independent of details of the initial data. We compare the results obtained with corresponding results for the Korteweg-de Vries equation found by Claeys–Grava in three papers (Claeys and Grava in Commun Math Phys 286:979–1009, 2009, Commun Pure Appl Math 63:203–232, 2010, SIAM J Math Anal 42:2132–2154, 2010). Our method is to analyze contour integrals appearing in an explicit representation of the solution of the Cauchy problem, in various limits involving coalescing saddle points.
- 23 February 2026
- Published by Springer Nature in Communications in Mathematical Physics
- Vol. 407 (3) , 60
Top Cited PapersOpen AccessUniversality in the Small-Dispersion Limit of the Benjamin–Ono Equation
We examine the solution of the Benjamin–Ono Cauchy problem for rational initial data in three types of double-scaling limits in which the dispersion tends to zero while simultaneously the independent variables either approach a point on one of the two branches of the caustic curve of the inviscid Burgers equation, or approach the critical point where the branches meet. The results reveal universal limiting profiles in each case that are independent of details of the initial data. We compare the results obtained with corresponding results for the Korteweg-de Vries equation found by Claeys–Grava in three papers (Claeys and Grava in Commun Math Phys 286:979–1009, 2009, Commun Pure Appl Math 63:203–232, 2010, SIAM J Math Anal 42:2132–2154, 2010). Our method is to analyze contour integrals appearing in an explicit representation of the solution of the Cauchy problem, in various limits involving coalescing saddle points.
- Open Access
Universality in the Small-Dispersion Limit of the Benjamin-Ono Equation
We examine the solution of the Benjamin-Ono Cauchy problem for rational initial data in three types of double-scaling limits in which the dispersion tends to zero while simultaneously the independent variables either approach a point on one of the two branches of the caustic curve of the inviscid Burgers equation, or approach the critical point where the branches meet. The results reveal universal limiting profiles in each case that are independent of details of the initial data. We compare the results obtained with corresponding results for the Korteweg-de Vries equation found by Claeys-Grava in three papers. Our method is to analyze contour integrals appearing in an explicit representation of the solution of the Cauchy problem, in various limits involving coalescing saddle points.
Open AccessUniversality in the Small-Dispersion Limit of the Benjamin-Ono Equation
We examine the solution of the Benjamin-Ono Cauchy problem for rational initial data in three types of double-scaling limits in which the dispersion tends to zero while simultaneously the independent variables either approach a point on one of the two branches of the caustic curve of the inviscid Burgers equation, or approach the critical point where the branches meet. The results reveal universal limiting profiles in each case that are independent of details of the initial data. We compare the results obtained with corresponding results for the Korteweg-de Vries equation found by Claeys-Grava in three papers. Our method is to analyze contour integrals appearing in an explicit representation of the solution of the Cauchy problem, in various limits involving coalescing saddle points.
- Open Access
- 8 February 2023
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2023 (2) , 1-31
On extended supersymmetry of 4d Galileons and 3-brane effective actions
We use on-shell amplitude methods to systematically analyze the possibility of extended supersymmetry for 4d Galileon models, expanding on previous $$ \mathcal{N} $$ = 1 results. Assuming spins ≤ 1, we prove that there exists no $$ \mathcal{N} $$ = 4 supersymmetric extension of 4d Galileons with a single vector multiplet. Thus the Galileons cannot be part of the effective action of a single flat maximally supersymmetric D3-brane, and that explains why such terms do not appear in the α′-expansion of the abelian open superstring amplitude. For $$ \mathcal{N} $$ = 2 Galileons, we show that the complex scalar Z = ϕ + iχ of the vector supermultiplet cannot have ϕ and χ both enjoy enhanced shift symmetry; instead, χ can at best be an R-axion with constant shift symmetry. Using the soft bootstrap, we demonstrate that the quartic DBI-Galileon is incompatible with $$ \mathcal{N} $$ = 2 supersymmetry. A similar analysis performed at 7-point shows that a 2-parameter family of $$ \mathcal{N} $$ = 2 supersymmetric quintic Galileons coupled with DBI passes the soft bootstrap. Finally, we show how supersymmetric couplings between Galileons and gravitons arise in generalizations of our constructions, and we conclude with a discussion of Galileons and DBI-Galileons in the context of UV-completability vs. the Swampland.- 8 February 2023
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2023 (2) , 1-31
Open AccessOn extended supersymmetry of 4d Galileons and 3-brane effective actions
We use on-shell amplitude methods to systematically analyze the possibility of extended supersymmetry for 4d Galileon models, expanding on previous $$ \mathcal{N} $$ = 1 results. Assuming spins ≤ 1, we prove that there exists no $$ \mathcal{N} $$ = 4 supersymmetric extension of 4d Galileons with a single vector multiplet. Thus the Galileons cannot be part of the effective action of a single flat maximally supersymmetric D3-brane, and that explains why such terms do not appear in the α′-expansion of the abelian open superstring amplitude. For $$ \mathcal{N} $$ = 2 Galileons, we show that the complex scalar Z = ϕ + iχ of the vector supermultiplet cannot have ϕ and χ both enjoy enhanced shift symmetry; instead, χ can at best be an R-axion with constant shift symmetry. Using the soft bootstrap, we demonstrate that the quartic DBI-Galileon is incompatible with $$ \mathcal{N} $$ = 2 supersymmetry. A similar analysis performed at 7-point shows that a 2-parameter family of $$ \mathcal{N} $$ = 2 supersymmetric quintic Galileons coupled with DBI passes the soft bootstrap. Finally, we show how supersymmetric couplings between Galileons and gravitons arise in generalizations of our constructions, and we conclude with a discussion of Galileons and DBI-Galileons in the context of UV-completability vs. the Swampland.