harvard6
https://dash.harvard.edu:443
The DASH digital repository system captures, stores, indexes, preserves, and distributes digital research material.2019-09-23T10:23:35ZOrbifolds of M-strings
http://nrs.harvard.edu/1/41385102
Orbifolds of M-strings
Haghighat, Babak; Kozçaz, Can; Lockhart, Guglielmo; Vafa, Cumrun
2014-01-01T05:00:00ZBPS degeneracies and superconformal index in diverse dimensions
http://nrs.harvard.edu/1/41385101
BPS degeneracies and superconformal index in diverse dimensions
Iqbal, Amer; Vafa, Cumrun
We present a unifying theme relating BPS partition functions and superconformal indices. In the case with complex supersymmetry central charges (as in N = 2 in d = 4 and N = (2, 2) in d = 2), the known results can be reinterpreted as the statement that the BPS partition functions can be used to compute a specialization of the superconformal indices. We argue that in the case with real central charge in the supersymmetry algebra, as in N = 1 in d = 5 (or the N = 2 in d = 3), the BPS degeneracy captures the full superconformal index. Furthermore, we argue that refined topological strings, which capture five-dimensional (5d) BPS degeneracies of M theory on Calabi-Yau 3-folds, can be used to compute a 5d supersymmetric index including in the sectors with three-dimensional defects for a large class of 5d superconformal theories. Moreover, we provide evidence that distinct Calabi-Yau singularities which are expected to lead to the same Superconformal field theory yield the same index.
2014-01-01T05:00:00ZStringy wave function for an S 3 cosmology
http://nrs.harvard.edu/1/41385100
Stringy wave function for an S 3 cosmology
Gukov, Sergei; Saraikin, Kirill; Vafa, Cumrun
Using the recent observations of the relation between the Hartle-Hawking wave function and the topological string partition function, we propose a wave function for scalar metric fluctuations on S-3 embedded in a Calabi-Yau manifold. This problem maps to a study of noncritical bosonic string propagating on a circle at the self-dual radius. This can be viewed as a stringy toy model for a quantum cosmology.
2006-01-01T05:00:00ZEntropic principle and asymptotic freedom
http://nrs.harvard.edu/1/41385099
Entropic principle and asymptotic freedom
Gukov, Sergei; Saraikin, Kirill; Vafa, Cumrun
Motivated by the recent developments about the Hartle-Hawking wave function associated to black holes, we formulate an entropy functional on the moduli space of Calabi-Yau compactifications. We find that the maximization of the entropy is correlated with the appearance of asymptotic freedom in the effective field theory. The points where the entropy is maximized correspond to points on the moduli which are maximal intersection points of walls of marginal stability for Bogomolnyi-Prasad-Sommerfield states. We also find an intriguing link between extremizing the entropy functional and the points on the moduli space of Calabi-Yau three folds which admit a "quantum deformed" complex multiplication.
2006-01-01T05:00:00Z