What is called massive type IIA string theory is a deformation of type IIA string theory which contains the RR-field flux forms $F_0$ and/or Hodge dually $F_{10}$, which couple to D8-branes.
This is the UV-completion of massive type IIA supergravity in analogy to how plain type IIA string theory is the UV-completion of plain type IIA supergravity.
It is (only) massive type IIA string theory where D8-branes exist as actual black branes (BdRGPT96 96, Chamblin-Perry 97, Janssen-Meessen-Ortin 99) Similarly for D6-D8-brane bound states (Singh 02a, Singh 02b).
This is because the normal n-sphere around a D8-brane (with its 9-dimensional worldvolume) in 10-dimensional spacetime is a 0-sphere, D8-brane charge is measured by the RR-field 0-flux form $F_0$, or else by its Hodge dual 10-form $F_{10}$. These behave like a cosmological constant in the corresponding D=10 supergravity (“Romans supergravity”) and causes the mass term for the B-field.
The massive version of the duality between type IIA string theory and M-theory is more subtle, since D=11 supergravity does not admit a corresponding mass deformation (BDHS 97, Deser 97, Tsimpis 05).
In AJTZ10 it was argued that a massive strong-coupling limit may just not exist.
But in Hull 98 an embedding of massive IIA into M-theory was claimed, and a corresponding BFSS matrix model compactification was claimed in Lowe-Nastae-Ramgoolam 03).
An early hint is in
Serious development in
See also:
Michael Haack, Jan Louis, Harvendra Singh, Massive Type IIA Theory on K3, JHEP 0104:040, 2001 (arXiv:hep-th/0102110)
Harvendra Singh, Romans type IIA theory and the heterotic strings, Phys.Lett.B545:403-410, 2002 (arXiv:hep-th/0201206)
Tom Banks, K. van den Broek, Massive IIA flux compactifications and U-dualities, JHEP 0703:068, 2007 (arXiv:hep-th/0611185)
As a black brane the D8-brane was identified as a solution to Romans supergravity/massive type IIA string theory in
See also
A. Chamblin, Malcolm Perry, Dynamic D8-branes in IIA string theory (arXiv:hep-th/9712112)
Bert Janssen, Patrick Meessen, Tomas Ortin, The D8-brane tied up: String and brane solutions in massive type IIA supergravity, Phys. Lett. B453 (1999) 229-236 (spire:494174, doi:10.1016/S0370-2693(99)00315-9)
On D6-D8-brane bound states in massive type IIA string theory:
Harvendra Singh, Duality symmetric massive type II theories in $D=8$ and $D=6$, JHEP 0204:017, 2002 (arXiv:hep-th/0109147)
Harvendra Singh, Note on (D6,D8) Bound State, Massive Duality and Non-commutativity, Nucl. Phys. B661 (2003) 394-408 (arXiv:hep-th/0212103)
Fabio Apruzzi, Marco Fazzi, Dario Rosa, Alessandro Tomasiello, All $AdS_7$ solutions of type II supergravity, JHEP 04 (2014) 064 (arxiv:1309.2949)
Marco Fazzi, Higher-dimensional field theories from type II supergravity (arxiv:1712.04447)
With emphasis on charge quantization of the RR-field flux forms via bundle gerbes:
On black$\;$D6-D8-brane bound states in massive type IIA string theory, with defect D2-D4-brane bound states inside them realizing AdS3-CFT2 “inside” AdS7-CFT6:
Giuseppe Dibitetto, Nicolò Petri, 6d surface defects from massive type IIA, JHEP 01 (2018) 039 (arxiv:1707.06154)
Nicolò Petri, section 6.5 of: Supersymmetric objects in gauged supergravities (arxiv:1802.04733)
Nicolò Petri, Surface defects in massive IIA, talk at Recent Trends in String Theory and Related Topics 2018 (pdf)
Giuseppe Dibitetto, Nicolò Petri, $AdS_3$ vacua and surface defects in massive IIA, PoS CORFU2018 (2019) 142 (arxiv:1904.02455, doi:10.22323/1.347.0142)
Yolanda Lozano, Niall T. Macpherson, Carlos Nunez, Anayeli Ramirez, $1/4$ BPS $AdS_3/CFT_2$ (arxiv:1909.09636)
Yolanda Lozano, Niall T. Macpherson, Carlos Nunez, Anayeli Ramirez, Two dimensional $N=(0,4)$ quivers dual to $AdS_3$ solutions in massive IIA (arxiv:1909.10510)
Yolanda Lozano, Niall T. Macpherson, Carlos Nunez, Anayeli Ramirez, $AdS_3$ solutions in massive IIA, defect CFTs and T-duality (arxiv:1909.11669)
Kostas Filippas, Non-integrability on $AdS_3$ supergravity (arxiv:1910.12981)
On black$\;$D4-D8-brane bound states in massive type IIA string theory, with defect D2-D6-brane bound states inside them realizing AdS3-CFT2 “inside” AdS7-CFT6:
Giuseppe Dibitetto, Nicolò Petri, Surface defects in the D4 − D8 brane system, JHEP 01 (2019) 193 (arxiv:1807.07768)
Giuseppe Dibitetto, Nicolò Petri, $AdS_3$ vacua and surface defects in massive IIA (arxiv:1904.02455)
Discussion of impossibility of a mass-deformation of D=11 supergravity
K. Bautier, S. Deser, Marc Henneaux, D. Seminara, No Cosmological $D=11$ Supergravity, Phys. Lett. B406:49-53, 1997 (arXiv:hep-th/9704131)
S. Deser, Uniqueness of $D=11$ Supergravity (arXiv:hep-th/9712064)
Speculation that strong-coupling limit of massive type IIA does not exist:
Claim of a realization of massive type IIA string theory in M-theory:
Our purpose here is to argue that although the Romans supergravity theory may not be derivable from 11-dimensional supergravity, or any covariant massive deformation thereof, the massive IIA superstring, whose low energy limit is the Romans theory, can be obtained from M-theory.
The type IIB supergravity theory also cannot be obtained from 11-dimensional supergravity, but the type IIB string theory can be obtained from M-theory by compactifying on a 2-torus and taking a limit
and claim of the corresponding BFSS matrix model:
Last revised on December 15, 2020 at 12:53:48. See the history of this page for a list of all contributions to it.