TY - JOUR
T1 - [Formula Presented] gauge theories and the M theory fivebrane
AU - Ahn, Changhyun
AU - Oh, Kyungho
AU - Tatar, Radu
PY - 1998
Y1 - 1998
N2 - We analyze an M theory fivebrane in order to study the moduli space of vacua of [Formula Presented] supersymmetric [Formula Presented] gauge theories with [Formula Presented] flavors in four dimensions. We show how the [Formula Presented] Higgs branch can be encoded in M theory by studying the orientifold which plays a crucial role in our work. When all the quark masses are the same, the surface of the M theory spacetime representing a nontrivial [Formula Presented] bundle over [Formula Presented] develops [Formula Presented] type singularities at two points where D6 branes are located. Furthermore, by turning off the masses, two singular points on the surface collide and produce an [Formula Presented] type singularity. The sum of the multiplicities of rational curves on the resolved surface gives the dimension of an [Formula Presented] Higgs branch which agrees with the counting from the brane configuration picture of type IIA string theory. By rotating M theory fivebranes we get the strongly coupled dynamics of [Formula Presented] theory and describe the vacuum expectation values of the meson field parametrizing the Higgs branch which are in complete agreement with the field theory results. Finally, we take the limit where the mass of an adjoint chiral multiplet goes to infinity and compare it with field theory results. For the massive case, we comment on some relations with recent work which deals with the [Formula Presented] duality in the context of M theory.
AB - We analyze an M theory fivebrane in order to study the moduli space of vacua of [Formula Presented] supersymmetric [Formula Presented] gauge theories with [Formula Presented] flavors in four dimensions. We show how the [Formula Presented] Higgs branch can be encoded in M theory by studying the orientifold which plays a crucial role in our work. When all the quark masses are the same, the surface of the M theory spacetime representing a nontrivial [Formula Presented] bundle over [Formula Presented] develops [Formula Presented] type singularities at two points where D6 branes are located. Furthermore, by turning off the masses, two singular points on the surface collide and produce an [Formula Presented] type singularity. The sum of the multiplicities of rational curves on the resolved surface gives the dimension of an [Formula Presented] Higgs branch which agrees with the counting from the brane configuration picture of type IIA string theory. By rotating M theory fivebranes we get the strongly coupled dynamics of [Formula Presented] theory and describe the vacuum expectation values of the meson field parametrizing the Higgs branch which are in complete agreement with the field theory results. Finally, we take the limit where the mass of an adjoint chiral multiplet goes to infinity and compare it with field theory results. For the massive case, we comment on some relations with recent work which deals with the [Formula Presented] duality in the context of M theory.
UR - http://www.scopus.com/inward/record.url?scp=85038978068&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.58.086002
DO - 10.1103/PhysRevD.58.086002
M3 - Article
AN - SCOPUS:85038978068
SN - 1550-7998
VL - 58
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 8
ER -