Monday, 21-Nov-2016 07:06:32 EST

**Simplifying algebra in Feynman graphs, part II: Spinor helicity from the spacecone**, hep-ph/9801220, Phys.Rev.D59(1999)045013 (with G. Chalmers) --- new, easiest way to do QCD graphs; derives & simplifies "spinor helicity"**Superspace duality in low-energy superstrings**, hep-th/9305073, Phys.Rev.D48(1993)2826 --- invention of so-called "double field theory"**Gauge string fields from the light cone**, Nucl.Phys.B282(1987)125 (with B. Zwiebach) --- free gauge-invariant actions for any theory in any dimension**Covariantly second-quantized string II**, Phys.Lett.149B(1984)157, 151B(1985)391 --- invention of (covariant) string field theory**Manifest Lorentz invariance sometimes requires nonlinearity**, Nucl.Phys.B238(1984)307 --- chiral bosons**Hidden local supersymmetry in the supersymmetric particle action**, Phys.Lett.128B(1983)397 --- "kappa" symmetry**Supergraphity (II). Manifestly covariant rules and higher loop finiteness**, Nucl.Phys.B201(1982)292 (with M.T. Grisaru) --- power counting for extended supersymmetry (later used for finiteness proof for N=4)**Improved methods for supergraphs**, Nucl.Phys.B159(1979)429, (with M.T. Grisaru and M. Roček)**Unextended superfields in extended supersymmetry**, Nucl.Phys.B156(1979)135 --- Chern-Simons terms in actions**Supersymmetric dimensional regularization via dimensional reduction**, Phys.Lett.84B(1979)193

Confinement is a long-distance effect ("infrared slavery"). The leading infrared behavior of Quantum ChromoDynamics (or any theory containing massless Yang-Mills) is the same as that of N=4 supersymmetric Yang-Mills. The S-matrices in this theory are simpler than those of any other theory based on Yang-Mills, including the Standard Model.

My goals are:

- to find better ways to calculate field theory S-matrices (including the incorporation of Yangian symmetry), and
- to find string formulations of Yang-Mills theories that produce S-matrices resembling those for hadrons in the real world (and thus understand confinement).

**Projective superspace**is a subspace of the full superspace (like chiral superspace, but real) that is the only successful method for describing 4D N=2 supersymmetric theories in a manifestly supersymmetric (& conformally supersymmetric) way. Some of my research (mostly with Jain) involves generalizing these results to be more useful @ the quantum level (as Grisaru, Roček, & I did for N=1); & to N=3, which is effectively the same as N=4.- The
**AdS/CFT correspondence**allows strings to bring light on 4D quantum field theory, and vice versa. I'm focusing in particular on S-matrices, corresponding to closed strings with worldsheet boundaries coinciding with the boundary of anti-de Sitter space, corresponding to evaluating correlation functions of gauge singlets (each a loop of the boundary) or S-matrices of fundamental fields (all forming a single loop, as a single color trace). - The
**spacecone gauge**explains and gives a simpler form of the "spinor helicity" rules that make S-matrix calculations in Yang-Mills tractable (work with Chalmers). It has an especially interesting interpretation on AdS₅×S⁵: After Wick rotating the sphere to resemble AdS, the spacelike bulk coordinates of each can be combined to form the complex, null coordinates that define spacecone quantization. The surviving superspace coordinates are then just these 2 coordinates and those of 4D N=4 projective superspace. **T-theory**(sometimes called "double field theory" when restricted to massless fields) is an approach to manifesting the "T-duality" symmetry of string theory. It has recently been applied (with Poláček) to AdS/CFT to formulate the 10D Type IIB supergravity fields of AdS, & the complete set of 4D N=4 Yang-Mills BPS operators to which they couple, in terms of a single field living on projective superspace.**F-theory**is a proposed generalization of string theory, T-theory, & M-theory. It has only recently (with W. Linch) been given a concrete formulation as a theory of dynamical, fundamental membranes (& their higher-dimensional generalizations). This formulation manifests not only T-duality symmetry, but also S- & U-duality, icnluding the symmetry of eceptional groups found in maximally symmetric supergravity in various dimensions.- A modification of the boundary conditions of T-theory (with O. Hohm, Zwiebach, Huang, E. Yuan, & M. Leite), or of ordinary string theory, yields a
**chiral string**that reproduces the simplified all-dimension amplitudes of Cachazo, He, & Yuan.

Preprints at arXiv.org

Past year

Hatsuda, Machiko | S'90-S'91 | Theory Division, KEK Tsukuba, Ibaraki 305-0801, JAPAN |
mhatsuda@post.kek.jp |

Eßler, Fabian | S'91-S'93 | Rudolf Peierls Centre for Theoretical Physics University of Oxford 1 Keble Road Oxford, OX1 3NP, UK |
fab@thphys.ox.ac.uk |

Gasparakis, Charidimos | F'91-F'95 | electronics | charidimosg@msn.com |

Martinez, Mario | F'92-S'94 | (didn't finish Ph.D.) | |

Weiser, Harold | F'92-F'99 | ||

Peeters, Bastiaan | S'93-S'95 | finance | bpeeters@feweb.vu.nl |

Schalm, Koenraad | F'95-S'99 | Instituut-Lorentz for Theoretical Physics University of Leiden Leiden 2333CA, Netherlands |
kschalm@lorentz.leidenuniv.nl |

Biswas, Tirthabir | F'00-S'03 | Department of Physics Loyola University 6363 St. Charles Avenue, Campus Box 92 New Orleans, LA 70118 |
tirthabir@yahoo.com |

Feng, Haidong | F'03-S'07 | finance | iamhfeng@gmail.com |

Lee, Kiyoung | F'03-S'07 | Owens Community College P.O. Box 10,000 Toledo, OH 43699-1947 |
yirok2@gmail.com |

Martinez-Torteya, Carlos | F'04-S'10 | (didn't finish Ph.D.) | |

Huang, Yu-tin | F'05-S'09 | Department of Physics and Astronomy National Taiwan University Taipei 10617, Taiwan, ROC |
yutinyt@gmail.com |

Dai, Peng | F'06-F'09 | finance | hanspengdai@gmail.com |

Irizarry-Gelpí, Melvin Eloy | F'08-S'13 | College of Mount Saint Vincent 6301 Riverdale Avenue Riverdale, NY 10471 |
melvineloy@gmail.com |

Jain, Dharmesh | F'09-S'14 | Department of Physics and Astronomy National Taiwan University Taipei 10617, Taiwan, ROC |
jkmsmkj@gmail.com |

Ju, Chia-Yi | F'12-S'16 | Department of Physics National Chung Hsing University 145 Xingda Rd., South Dist. Taichung City 40227, Taiwan, ROC |
chiayiju@gmail.com |

Poláček, Martin | F'13- | Stony Brook | matho.polacek@gmail.com |

I also advised Aleksandar Miković and others at Maryland, and was the unofficial adviser of Jon Yamron and Nathan Berkovits at Berkeley.

Relativity | PHY 408 | S 95, 04 |

Relativity | PHY 620 | S 92, 93, 96, 99, F 03, 05, 07 |

Quantum Field Theory | PHY 610-1 | F 97-S 98, F 01-S 02, F 04-S 05, F 06-S 07, F 08-S 09, F 10-S 11, F 12-S 13 |

Advanced Quantum Field Theory | PHY 621 | S 08, 10 |

String Theory (with others) | PHY 622-3 | S-F 03, F 04-∞ (& beyond) |

Univ. of California, Berkeley | 6/70-12/72 | A.B. | Physics, Math. |

Univ. of California, Berkeley | 1/73- 6/77 | Ph.D. | Physics |

Harvard University | 7/77-7/79 | Honorary Postdoctoral Fellow |

Brandeis University | 3/79-6/79 | Postdoctoral Fellow |

Inst. for Advanced Study | 8/79-8/80 | Postdoctoral Fellow |

Calif. Inst. of Technology | 8/80-8/82 | Postdoctoral Fellow |

Univ. of Calif., Berkeley | 8/82-8/85 | Postdoctoral Fellow |

Univ. of Md., College Park | 8/85-6/87 | Assistant Professor |

" | 7/87-9/88 | Professor |

State Univ. of N.Y., Stony Brook | 9/88- | Professor |

State University of New York

Stony Brook, NY 11794-3840