The authors give a combinatorial partition function for A-type little string theories with a full-type surface defect and argue that two NS-limit regularizations are both regular due to a recursive pole-cancellation identity.
M String, Monopole String and Modular Forms
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We study relations between M-strings (one-dimensional intersections of M2-branes and M5-branes) in six dimensions and m-strings (magnetically charged monopole strings) in five dimensions. For specific configurations, we propose that the counting functions of BPS bound-states of M-strings capture the elliptic genus of the moduli space of m-strings. We check this proposal for the known cases, the Taub-NUT and Atiyah-Hitchin spaces for which we find complete agreement. Furthermore, we analyze the modular properties of the M-string free energies, which do not transform covariantly under SL(2,Z). However, for a given number of M-strings, we find that there exists a unique combination of unrefined genus-zero free energies that transforms as a Jacobi form under a congruence subgroup of SL(2,Z). These combinations correspond to summing over different numbers of M5-branes and make sense only if the distances between them are all equal. We explain that this is a necessary condition for the m-string moduli space to be factorizable into relative and center-of-mass parts.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2024 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Surface Defects in $A$-type Little String Theories
The authors give a combinatorial partition function for A-type little string theories with a full-type surface defect and argue that two NS-limit regularizations are both regular due to a recursive pole-cancellation identity.