Title: SUSY in silico: Numerical D-brane bound state spectroscopy

Abstract

We numerically construct here the supersymmetric and non-supersymmetric wave functions of an $$\mathcal{N}=4$$ quiver quantum mechanics with two Abelian nodes and a single arrow. This model captures the dynamics of a pair of wrapped D-branes interacting via a single light string mode. A dimensionless parameter $${\nu}$$, which is inversely proportional to the Fayet-Iliopoulos parameter, controls whether the bulk of the wave functions are supported on the Higgs branch or the Coulomb branch. We demonstrate how the supersymmetric and excited states morph as $${\nu}$$ is tuned. We also numerically compute the energy gap between the ground state and the first excited states as a function of $${\nu}$$. An expression for the gap, computed on the Coulomb branch, matches nicely with our numerics at large $${\nu}$$ but deviates at small $${\nu}$$ where the Higgs branch becomes the relevant description of the physics. In the appendix, we provide the Schrödinger equations fully reduced via symmetries which, in principle, allow for the numerical determination of the entire spectrum at any point in moduli space. For the ground states, this numerical determination of the spectrum can be thought of as the first in silico check of various Witten index calculations.

Authors:

Anous, Tarek ^[1]

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+ Show Author Affiliations

1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics

Publication Date:

Tue Nov 29 00:00:00 EST 2016

Research Org.:

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:

USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

OSTI Identifier:

1505802

Alternate Identifier(s):

OSTI ID: 1333772

Grant/Contract Number:  

SC0012567; PHY-0967299

Resource Type:

Accepted Manuscript

Journal Name:

Physical Review. D.

Additional Journal Information:

Journal Volume: 94; Journal Issue: 10; Journal ID: ISSN 2470-0010

Publisher:

American Physical Society (APS)

Country of Publication:

United States

Language:

English

Subject:

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; compactification; strings & branes; numerical techniques