Research Interests

I have research interests in theoretical physics (quantum field theory and conformal field theory) and pure mathematics (vertex operator algebras, the Monster group and modular groups). Most recently I have been working on genus two and higher conformal field theory and vertex operator algebras in collaboration with Geoff Mason of UC Santa Cruz and Alexander Zuevsky at NUI Galway. I am also interested in exceptional vertex operator algebras and Lie algebras.

 

   

Edited Books

Lepowsky, J., McKay, J. , Tuite, M.P (Ed.). (2010) Moonshine: the First Quarter Century and Beyond. LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES. CAMBRIDGE: CAMBRIDGE UNIVERSITY PRESS. [Details]

Peer Reviewed Journals

Grayson,S.L, Tuite, M.P (1982) 'Higher twist contributions from the direct pion coupling in e+e- annihilation, photoproduction and p-p Drell-Yan'. ZEITSCHRIFT FÜR PHYSIK C, C13 :337-346. [Details]

Grayson,S.L, Tuite, M.P (1982) 'Inclusive production of heavy quarkonia in e+e- annihilation'. ZEITSCHRIFT FÜR PHYSIK C, C14 :157-160. [Details]

Halzen, F., Martin, A.D., Scott, D.M., Tuite, M.P (1982) 'The transverse hadronic energy accompanying weak bosons'. ZEITSCHRIFT FÜR PHYSIK C, C14 :351-355. [Details]

Tuite, M.P. (1984) 'The transverse hadronic energy distribution in deep inelastic scattering'. NUCLEAR PHYSICS B, B 236 :48-60. [Details]

Tuite, M.P. (1984) 'Psi D D bar production in nucleon scattering'. Zeitschrift Für Physik C, C23 :365-367. [Details]

Lautrup,B., Lavelle, M.J., Tuite,M.P., Vladikas, A. (1987) 'Stochastic quantisation and gauge fixing in lattice gauge theories'. NUCLEAR PHYSICS B, B 290 :188-204. [Details]

Lavelle, M.J., Tuite,M.P. (1987) 'Stochastic quantisation in non-abelian gauge theories'. NUCLEAR PHYSICS B, B 290 :205-217. [Details]

Sen, S., Tuite, M.P. (1987) 'The quantised non-abelian monopole'. PHYSICAL REVIEW D, D36 :1639-1643. [Details]

Balog, J., Tuite, M.P. (1989) 'The failure of Atkin-Lehner symmetry for lattice compactified strings'. NUCLEAR PHYSICS B, B319 :387-414. [Details]

Tuite, M.P. (1992) 'Monstrous Moonshine from orbifolds'. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 146 :277-309. [Details]

Tuite, M.P. (1995) 'Generalized Moonshine and abelian orbifold constructions'. CONTEMPORARY MATHEMATICS, 193 :353-368. [Details]

Tuite M.P. (1995) 'On The Relationship Between Monstrous Moonshine And The Uniqueness Of The Moonshine Module'. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 166 (3):495-532. [Details]

Ivanov, R.I., Tuite, M.P. (2000) 'Generalized Moonshine from orbifoldings'. BALKAN PHYSICS LETTERS, 4 :532-526. [Details]

Tuite, M.P. (2001) 'Genus two meromorphic conformal field theory'. CRM PROCEEDINGS & LECTURE NOTES, 30 :231-251. [Details]

Ivanov, R.I., Tuite, M.P. (2002) 'Some irrational generalized Moonshine from orbifolds'. NUCLEAR PHYSICS B, B635 :473-491. [Details]

Ivanov, R.I., Tuite, M.P. (2002) 'Rational generalized Moonshine from abelian orbifoldings of the Moonshine Module'. NUCLEAR PHYSICS B, B635 :435-472. [Details]

Sen, S., Tuite, M.P. (2003) 'A string motivated approach to the relativistic point particle'. MODERN PHYSICS LETTERS A, A18 :2483-2490. [Details]

Mason, G,Tuite, MP (2003) 'Torus chiral n-point functions for free boson and lattice vertex operator algebras'. Communications In Mathematical Physics, 235 :47-68. [DOI] [Details]

Tuite, M.P. (2007) 'The Virasoro algebra and some exceptional Lie and finite groups'. SIGMA, 3 (8). [Details]

Mason, G,Tuite, MP (2007) 'On genus two Riemann surfaces formed from sewn tori'. Communications In Mathematical Physics, 270 :587-634. [DOI] [Details]

Mason, G,Tuite, MP,Zuevsky, A (2008) 'Torus n-point functions for R-graded vertex operator superalgebras and continuous fermion orbifolds'. Communications In Mathematical Physics, 283 :305-342. [DOI] [Details]

Tuite, M.P. (2009) 'Exceptional vertex operator algebras and the Virasoro algebra'. CONTEMPORARY MATHEMATICS, 497 :213-225. [Details]

Mason, G., Tuite, M.P. (2010) 'Free bosonic vertex operator algebras on genus two Riemann surfaces I'. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 300 :673-713. [DOI] [Details]

Tuite, M.P., Zuevsky, A. (2011) 'The Szego kernel on a sewn Riemann surface'. Communications In Mathematical Physics, 306 :617-645. [Details]

Tuite, M.P., Zuevsky, A. (2011) 'Genus two partition and correlation functions for fermionic vertex operator superalgebras I'. Communications In Mathematical Physics, 306 :419-447. [DOI] [Details]

M.P. Tuite and A. Zuevsky (2012) 'A generalized vertex operator algebra for Heisenberg intertwiners'. Journal Of Pure And Applied Algebra, Volume 216 (Issue 6):1442-1453. [Details]

 

Conference Publications

Tuite M.P. (1993) Monstrous Moonshine and the uniqueness of the Moonshine module PROCEEDINGS OF THE NATO ADVANCED RESEARCH WORKSHOP ON LOW DIMENSIONAL TOPOLOGY AND QUANTUM FIELD THEORY (PLENUM PRESS, NEW YORK) , pp.289-296 [Details]

Tuite, M.P. (1996) Monstrous Moonshine and orbifolds GROUPS, DIFFERENCE SETS AND THE MONSTER; EDS. K.T.ARASU ET AL., (DE GRUYTER, BERLIN) , pp.443-461 [Details]

Ivanov, R.I., Tuite, M.P. (2003) Generalized Moonshine and orbifold constructions RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES KOKYUROKO , pp.170-180 [Details]

Mason, G., Tuite, M.P. (2007) Partition functions and chiral algebras Lie algebras, vertex operator algebras and their applications, CONTEMPORARY 442 , pp.404-410 [Details]

Mason, G., Tuite, M.P. (2010) Vertex operators and modular forms “A WINDOW INTO ZETA AND MODULAR PHYSICS”, MATHEMATICAL SCIENCES RESEARCH INSTITUTE PUBLICATIONS , CAMBRIDGE UNIVERSITY PRESS, (CAMBRIDGE) , pp.183-278 [Details]

Tuite, M.P. (2010) Monstrous and generalized Moonshine and permutation orbifolds . In: J. LEPOWSKY, J. MCKAY AND M.P. TUITE eds. “MOONSHINE: THE FIRST QUARTER CENTURY AND BEYOND”, LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES, CAMBRIDGE UNIVERSITY PRESS, (CAMBRIDGE) , pp.378-392 [Details]

M.P. Tuite and A. Zuevsky (2011) The bosonic vertex operator algebra on a genus g Riemann surface RIMS Kokyuroko 1756 81-93 (2011) , pp.81-93 [Details]