Dice Question Streamline Icon: https://streamlinehq.com

IKKT model as a constructive definition of second-quantized string theory

Establish whether the IKKT matrix model provides a constructive definition of second-quantized string theory in the large-N limit.

Information Square Streamline Icon: https://streamlinehq.com

Background

The IKKT (type IIB) matrix model was proposed as a matrix regularization of type IIB superstring theory and is widely studied as a nonperturbative formulation of string theory. In this framework, spacetime is expected to emerge dynamically from matrix degrees of freedom in the large-N limit.

The paper studies a supersymmetry-preserving mass-deformed version—the polarized IKKT model—via Monte Carlo simulations at N=2, focusing on its saddle-point structure and emergent spacetime. The broader foundational conjecture motivating such studies is that the IKKT model itself yields a constructive definition of second-quantized string theory in the large-N limit, which remains a central unresolved issue.

References

The IKKT model (or the type IIB matrix model) was originally proposed as a matrix regularization of type IIB superstring theory, which is conjectured to provide a constructive definition of second-quantized string theory in the large-$N$ limit.

Monte Carlo studies of the emergent spacetime in the polarized IKKT model (2507.18472 - Chou et al., 24 Jul 2025) in Introduction, paragraph 1 (page 1)