Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermi surfaces in general co-dimension and a new controlled non-trivial
  fixed point   Traditionally Fermi surfaces for problems in $d$ spatial dimensions have
dimensionality $d-1$, i.e., codimension $d_c=1$ along which energy varies.
Situations with $d_c >1$ arise when the gapless fermionic excitations live at
isolated nodal points or lines. For $d_c > 1$ weak short range interactions are
irrelevant at the non-interacting fixed point. Increasing interaction strength
can lead to phase transitions out of this Fermi liquid. We illustrate this by
studying the transition to superconductivity in a controlled $\epsilon$
expansion near $d_c = 1$. The resulting non-trivial fixed point is shown to
describe a scale invariant theory that lives in effective space-time dimension
$D=d_c + 1$. Remarkably, the results can be reproduced by the more familiar
Hertz-Millis action for the bosonic superconducting order parameter even though
it lives in different space-time dimensions.

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The categories of this paper are: nlin
23
The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex