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Explanation of the central charge ratio 27/32 in four-dimensional renormalization group flows between superconformal theories

Tachikawa, Yuji ; Wecht, Brian

Physical review letters, 2009-08, Vol.103 (6), p.061601-061601, Article 061601 [Periódico revisado por pares]

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Título:
Explanation of the central charge ratio 27/32 in four-dimensional renormalization group flows between superconformal theories
Autor: Tachikawa, Yuji ; Wecht, Brian
Assuntos: CHIRALITY ; CONFORMAL INVARIANCE ; DIMENSIONLESS NUMBERS ; FIELD THEORIES ; FOUR-DIMENSIONAL CALCULATIONS ; INVARIANCE PRINCIPLES ; MASS ; MINUS-PLUS RATIO ; PARTICLE PROPERTIES ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; QUANTUM FIELD THEORY ; RENORMALIZATION ; SYMMETRY ; TRANSFORMATIONS
É parte de: Physical review letters, 2009-08, Vol.103 (6), p.061601-061601, Article 061601
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição: We show that when a four-dimensional N = 2 superconformal field theory (SCFT) flows to an N = 1 SCFT via giving a mass to the adjoint chiral superfield in a vector multiplet with marginal coupling, the central charges a and c of the N = 2 theory are related to those of the N = 1 theory by a universal linear transformation as long as there are no accidental symmetries in the infrared. In the large N limit, this relationship implies that the central charges obey a_{IR}/a_{UV} = c_{IR}/c_{UV} = 27/32. This gives a physical explanation to many examples of this number found in the literature, and also suggests the existence of a flow between some theories not previously thought to be connected.
Editor: United States
Idioma: Inglês

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