Andrew K. Waldron

Regular Faculty
Mathematical physics
Ph.D.(in Physics), 1997, State University of New York at Stony Brook
Refereed publications: Via Math Reviews

Web Page:
Office: MSB 3138
Phone: 601-4444 x4012

Professor Andrew Waldron's research is devoted to a broad range of problems in theoretical and mathematical physics. In particular he has made an important contribution to the conjectured Banks-Fishler-Shenker-Susskind (BFSS) matrix model of string theory and M-theory. String theory is a proposed perturbative theory that would unify all of the fundamental forces of physics; in other words it is a "theory of everything". Its non-perturbative counterpart is a hypothetical theory called M-theory. One part of the BFSS conjecture relates the scattering of bound states to scattering of supergravitons. (Eleven-dimensional supergravity is a known low-energy limit of M-theory.) This relation has been verified in many cases; the strongest results in this direction belong to Professor Waldron [1] [3].

Professor Waldron has also studied other problems arising in M-theory and in supergravity. In particular, he analyzed higher spin fields on a special model universe called anti-de-Sitter space. These results are relevant to the AdS/CFT conjecture in M-theory, which asserts that supergravity on anti-de-Sitter space is equivalent to conformal field theory on its boundary [5]. Several other articles by Professor Waldron are devoted to the theory of spinors and of operators acting on spinor fields. For example, he calculated the index of non-standard Dirac operators [2]. This result in the vein of the celebrated Atiyah-Singer index theorem, which was one of the first connections between quantum field theory and goemetric topology.

Selected publications

[1] The Matrix Theory S-matrix (with J. C. Plefka and M. Serone), Phys. Rev. Lett. 81 (1998), 2866-2869, arXiv:hep-th/9806081.

[2] An index theorem for non-standard Dirac operators (with J.-W. van Holten and K. Peeters), Class. Quant. Grav. 16 (1999), 2537-2544, arXiv:hep-th/9901163.

[3] Three graviton scattering in M-Theory (with R. Helling, J. Plefka, and M. Serone), Nucl. Phys. B559 (1999), 184-204, arXiv:hep-th/9905183.

[4] R^4 couplings, the fundamental membrane and exceptional theta correspondences (with B. Pioline, H. Nicolai, and J. Plefka), JHEP 0103 (2001), 036, arXiv:hep-th/0102123.

[5] Null propagation of partially massless higher spins in (A)dS and cosmological constant speculations (with S. Deser), arXiv:hep-th/0105181.

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