expect modular symmetry for the partition function.. • Isolating the single-centered contribution then no longer modular as expected.!
Trang 1!
Trang 3•
Trang 4•
•
•
Trang 9•
W (Q) = d(Q)
Trang 11⇠ exp h z 4 log z + c
z +
i
z = A/4
Trang 13p 2
Trang 22•
Mc,d
Trang 32truncaNon
?
Trang 33?
Trang 35•
•
Trang 37⇠ exp
2
3z
3/2 log(z3/2 +
z3/2 ⇠ R2 ⇠ N3/2k1/2
Trang 40•
P 1 ⇥ P 1
CP3
Trang 41expect modular symmetry for the partition function !
• Isolating the single-centered contribution
then no longer modular as expected !
AdS3
Trang 42• serious
•
•
•
Trang 43• The counting function of single-centered black
hole is a mock Jacobi form !
•
•