TY - JOUR
T1 - Branes and fluxes in special holonomy manifolds and cascading field theories
AU - Hashimoto, A.
AU - Ouyang, P.
AU - Hirano, Shinji
PY - 2011/6/1
Y1 - 2011/6/1
N2 - We conduct a study of holographic RG flows whose UV is a theory in 2+1 dimensions decoupled from gravity, and the IR is the N = 6, 8 superconformal fixed point of ABJM. The solutions we consider are constructed by warping the M-theory background whose eight spatial dimensions are manifolds of special holonomies sp(1) × sp(1) and spin(7). Our main example for the spin(7) holonomy manifold is the A8 geometry originally constructed by Cvetic, Gibbons, Lu, and Pope. On the gravity side, our constructions generalize the earlier construction of RG flow where the UV was N = 3 Yang-Mills-Chern-Simons matter system and are simpler in a number of ways. Throughcareful consideration of Page, Maxwell, and brane charges, we identify the discrete and continuous parameters characterizing each system. We then determine the range of the discrete data, corresponding to the flux/rank for which the supersymmetry is unbroken, and estimate the dynamical supersymmetry breaking scale as a function of these data. We then point out the similarity between the physics of supersymmetry breaking between our system and the system considered by Maldacena and Nastase. We also describe the condition for unbroken supersymmetry on class of construction based on a different class of spin(7) manifolds known as B 8 spaces whose IR is different from that of ABJM and exhibit some interesting features.
AB - We conduct a study of holographic RG flows whose UV is a theory in 2+1 dimensions decoupled from gravity, and the IR is the N = 6, 8 superconformal fixed point of ABJM. The solutions we consider are constructed by warping the M-theory background whose eight spatial dimensions are manifolds of special holonomies sp(1) × sp(1) and spin(7). Our main example for the spin(7) holonomy manifold is the A8 geometry originally constructed by Cvetic, Gibbons, Lu, and Pope. On the gravity side, our constructions generalize the earlier construction of RG flow where the UV was N = 3 Yang-Mills-Chern-Simons matter system and are simpler in a number of ways. Throughcareful consideration of Page, Maxwell, and brane charges, we identify the discrete and continuous parameters characterizing each system. We then determine the range of the discrete data, corresponding to the flux/rank for which the supersymmetry is unbroken, and estimate the dynamical supersymmetry breaking scale as a function of these data. We then point out the similarity between the physics of supersymmetry breaking between our system and the system considered by Maldacena and Nastase. We also describe the condition for unbroken supersymmetry on class of construction based on a different class of spin(7) manifolds known as B 8 spaces whose IR is different from that of ABJM and exhibit some interesting features.
U2 - 10.1007/jhep06(2011)101
DO - 10.1007/jhep06(2011)101
M3 - Journal article
SN - 1126-6708
VL - 2100
SP - 101
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
ER -