Skip navigation

상단메뉴

글로벌메뉴

좌측메뉴

학술행사

검색

논문

tab menu

  • View
  • All
  • 수학부
  • 물리학부
  • 계산과학부
  • Center for Advanced Computation

Seminar View

Seminar
TITLE Conformal Field Theories with Sporadic Group Symmetry
KIAS AUTHORS Lee, Sungjay,Lee, Kimyeong
JOURNAL COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021
ARCHIVE  
ABSTRACT The monster sporadic group is the automorphism group of a central charge c = 24 vertex operator algebra (VOA) or meromorphic conformal field theory (CFT). In addition to its c = 24 stress tensor T (z), this theory contains many other conformal vectors of smaller central charge; for example, it admits 48 commuting c = 1/2 conformal vectors whose sum is T (z). Such decompositions of the stress tensor allow one to construct new CFTs from the monster CFT in a manner analogous to the Goddard-KentOlive (GKO) coset method for affine Lie algebras. We use this procedure to produce evidence for the existence of a number of CFTs with sporadic symmetry groups and employ a variety of techniques, including Hecke operators, modular linear differential equations, and Rademacher sums, to compute the characters of these CFTs. Our examples include (extensions of) nine of the sporadic groups appearing as subquotients of the monster, as well as the simple groups E-2(6)( 2) and F-4( 2) of Lie type. Many of these examples are naturally associated to McKay's (E) over cap (8) correspondence, and we use the structure of Norton's monstralizer pairs more generally to organize our presentation.
  • before page
  • list
  • next page
Seminar List

keyword

fiel&date

~