nLab D3-brane instanton

Idea

D3-brane instantons are constituted by D3-branes wrapped on spacelike cycles.

Related concepts

• D(-1)-brane

• non-perturbative effect

• membrane instanton

• M5-brane instanton

Table of branes appearing in supergravity/string theory (for classification see at brane scan).

brane	in supergravity	charged under gauge field	has worldvolume theory
black brane	supergravity	higher gauge field	SCFT
D-brane	type II	RR-field	super Yang-Mills theory
$(D = 2n)$	type IIA	$\,$	$\,$
D(-2)-brane	$\,$	$\,$
D0-brane	$\,$	$\,$	BFSS matrix model
D2-brane	$\,$	$\,$	$\,$
D4-brane	$\,$	$\,$	D=5 super Yang-Mills theory with Khovanov homology observables
D6-brane	$\,$	$\,$	D=7 super Yang-Mills theory
D8-brane	$\,$	$\,$
$(D = 2n+1)$	type IIB	$\,$	$\,$
D(-1)-brane	$\,$	$\,$	$\,$
D1-brane	$\,$	$\,$	2d CFT with BH entropy
D3-brane	$\,$	$\,$	N=4 D=4 super Yang-Mills theory
D5-brane	$\,$	$\,$	$\,$
D7-brane	$\,$	$\,$	$\,$
D9-brane	$\,$	$\,$	$\,$
(p,q)-string	$\,$	$\,$	$\,$
(D25-brane)	(bosonic string theory)
NS-brane	type I, II, heterotic	circle n-connection	$\,$
string	$\,$	B2-field	2d SCFT
NS5-brane	$\,$	B6-field	little string theory
D-brane for topological string			$\,$
A-brane			$\,$
B-brane			$\,$
M-brane	11D SuGra/M-theory	circle n-connection	$\,$
M2-brane	$\,$	C3-field	ABJM theory, BLG model
M5-brane	$\,$	C6-field	6d (2,0)-superconformal QFT
M9-brane/O9-plane			heterotic string theory
M-wave
topological M2-brane	topological M-theory	C3-field on G₂-manifold
topological M5-brane	$\,$	C6-field on G₂-manifold
S-brane
SM2-brane, membrane instanton
M5-brane instanton
D3-brane instanton
solitons on M5-brane	6d (2,0)-superconformal QFT
self-dual string		self-dual B-field
3-brane in 6d

References

• Katrin Becker, Melanie Becker, Andrew Strominger, section 2.1 of Five-branes, membranes and nonperturbative string theory, Nucl. Phys. B 456, 130 (1995) (hep-th/9507158)

• Sergei Alexandrov, Jan Manschot, Boris Pioline, D3-instantons, Mock Theta Series and Twistors, JHEP 1304 (2013) 002 (arXiv:1207.1109)

On D-brane instantons and moduli stabilization in type II string theory:

• Sergei Alexandrov, Atakan Hilmi Fırat, Manki Kim, Ashoke Sen, Bogdan Stefański, D-instanton Induced Superpotential, J. High Energ. Phys. 2022 90 (2022) [arXiv:2204.02981, doi:10.1007/JHEP07(2022)090]

and in 0B string theory using methods from string field theory:

• Joydeep Chakravarty, Ashoke Sen, Normalization of D instanton amplitudes in two dimensional type 0B string theory [arXiv:2207.07138]

reviewed in

• Ashoke Sen, D-instanton amplitudes in string theory, talk at M-Theory and Mathematics 2023, NYU Abu Dhabi (2023) [web]