SLIDE 1
Orientifold Singularities and Duality Ben Heidenreich (Harvard) - - PowerPoint PPT Presentation
Orientifold Singularities and Duality Ben Heidenreich (Harvard) - - PowerPoint PPT Presentation
Orientifold Singularities and Duality Ben Heidenreich (Harvard) with Iaki Garca Etxebarria (MPI Munich) and Timm Wrase (Stanford SITP) 1210.7799, 1307.1701 and forthcoming Review ( N = 4) AdS/CFT description: N D3s O3 (Witten '98) + H 3
SLIDE 2
SLIDE 3
Orbifolds
(N = 1)
(BH, García-Etxebarria, Wrase '12, '13)
C3/Z3 : zi → e2πi/3zi
OR
SO(N − 4) SU(N) SU( ˜ N) USp( ˜ N + 4)
C2 B2
SO(2k − 1) × SU(2k + 3) SO(2k) × SU(2k + 4) USp(2k + 4) × SU(2k)
{
Novel duality
σ : zi → −zi
2/6
H3(S5/Z6, ˜ Z) ∼ = Z2
SLIDE 4
Beyond Orbifolds
dP1 :
x y z w C∗ 2 2 −1 −3 Z2 − − − + ⌥ ⌥ ⌥ ± SU(N) SU(N − 4) SU( ˜ N + 4) SU( ˜ N) 3/6
SLIDE 5
IA− IA− IA+ IA+ IB+ IB+ IB− IB−
Discrete Torsion & Duality dP1
H3 ✓S3 × S2 Z2 , ˜ Z ◆ ∼ = Z2 ⊕ Z2
+
C2 B2
τ → −1/τ τ → τ + 1 ?
4/6
SLIDE 6
New Involutions from Deconfinement
Seiberg Duality: Deconfinement:
( )
+ flavors
(Berkooz '95, Pouliot '95) New Involution!
5/6
SLIDE 7
III+ III+ II−
−
II+
−
II+
+
New Orientifolds dP1
“Phase II”:
SU(N + F − 4) SO(N − 4) SU(N) SU(F)
IA− IA− IA+ IA+ IB+ IB+ IB− IB− II−
+
III− III−
(−1)N (−1)F
+ − − −
Anomalies, SCI, Low N examples match!
6/6
SLIDE 8
⌥ ⌥ ⌥ ± IA− IA− IA+ IA+ IB+ IB+ IB− IB−
?
+ − − −
covariance requires additional orientifolds
dP1
SL(2, Z)
Constructed by deconfinement of parent theory
III+ III+ II−
−
II+
−
II+
+
IA− IA− IA+ IA+ IB+ IB+ IB− IB− II−
+
III− III−