UV Completions for Non-Critical Strings

Apruzzi, Fabio; Hassler, Falk; Heckman, Jonathan J.; Melnikov, Ilarion V.

doi:10.1007/JHEP07(2016)045

UV Completions for Non-Critical Strings

Fabio Apruzzi
(
)
,
Falk Hassler
(
)
,
Jonathan J. Heckman
(
)
,
Ilarion V. Melnikov
(
- James Madison U.
)

Feb 12, 2016

102 pages

Published in:

JHEP 07 (2016) 045

Published: Jul 11, 2016

e-Print:

1602.04221 [hep-th]

DOI:

10.1007/JHEP07(2016)045

View in:

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Abstract: (Springer)

Compactifications of the physical superstring to two dimensions provide a general template for realizing 2D conformal field theories coupled to worldsheet gravity, i.e. non-critical string theories. Motivated by this observation, in this paper we determine the quasi-topological 8D theory which governs the vacua of 2D

\mathcal{N}

= (0, 2) gauged linear sigma models (GLSMs) obtained from compactifications of type I and heterotic strings on a Calabi-Yau fourfold. We also determine the quasi-topological 6D theory governing the 2D vacua of intersecting 7-branes in compactifications of F-theory on an elliptically fibered Calabi-Yau fivefold, where matter fields and interaction terms localize on lower-dimensional subspaces, i.e. defect operators. To cancel anomalies / cancel tadpoles, these GLSMs must couple to additional chiral sectors, which in some cases do not admit a known description in terms of a UV GLSM. Additionally, we find that constructing an anomaly free spectrum can sometimes break supersymmetry due to spacetime filling anti-branes. We also study various canonical examples such as the standard embedding of heterotic strings on a Calabi-Yau fourfold and F-theoretic “rigid clusters” with no local deformation moduli of the elliptic fibration.

Note:

v4: 102 pages, 2 figures, clarifications added

Conformal and W Symmetry
F-Theory
Field Theories in Lower Dimensions
Superstrings and Heterotic Strings
string model: heterotic
string: compactification
F-theory: compactification
field theory: conformal
field theory: coupling
sigma model: linear

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