# nLab D-brane geometry

Contents

## Phenomenology

#### Noncommutative geometry

noncommutative geometry

(geometry $\leftarrow$ Isbell duality $\to$ algebra)

# Contents

## Idea

Regarding the quantized string as a 2-spectral triple, then it defines a spectral geometry (typically but not necessarily a noncommutative geometry) which is the effective spacetime as seen by this quantum string (as read of from, notably, its energy spectrum). For the open string the most prominent aspect of its 2d SCFT worldsheet theory are its boundary conditions. In the spectral interpretation these correspond to the presence of D-branes in the effective target spacetime. Much geometric information is contained in these D-brane states, and the resulting concept of (noncommutative) geometry has accordingly been called D-brane geometry or D-geometry for short.

## References

Last revised on April 24, 2017 at 07:50:53. See the history of this page for a list of all contributions to it.