# nLab string geometry

Contents

## Spin geometry

spin geometry

Dynkin labelsp. orth. groupspin grouppin groupsemi-spin group
SO(2)Spin(2)Pin(2)
B1SO(3)Spin(3)Pin(3)
D2SO(4)Spin(4)Pin(4)
B2SO(5)Spin(5)Pin(5)
D3SO(6)Spin(6)
B3SO(7)Spin(7)
D4SO(8)Spin(8)SO(8)
B4SO(9)Spin(9)
D5SO(10)Spin(10)
B5SO(11)Spin(11)
D6SO(12)Spin(12)
$\vdots$$\vdots$
D8SO(16)Spin(16)SemiSpin(16)
$\vdots$$\vdots$
D16SO(32)Spin(32)SemiSpin(32)

string geometry

# Contents

## Idea

The analog of spin geometry as one passes from spinning particles to spinning strings. To some extent the step from the spin group to the string 2-group.

## References

• The String Geometry Research Network (website).

detailed discussion of the relation to spin geometry in smooth loop spaces is in

related remarks are briefly in

Last revised on April 24, 2017 at 05:34:18. See the history of this page for a list of all contributions to it.