Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General properties of the boundary renormalization group flow for
  supersymmetric systems in 1+1 dimensions   We consider the general supersymmetric one-dimensional quantum system with
boundary, critical in the bulk but not at the boundary. The renormalization
group flow on the space of boundary conditions is generated by the boundary
beta functions \beta^{a}(\lambda) for the boundary coupling constants
\lambda^{a}. We prove a gradient formula \partial\ln z/\partial\lambda^{a}
=-g_{ab}^{S}\beta^{b} where z(\lambda) is the boundary partition function at
given temperature T=1/\beta, and g_{ab}^{S}(\lambda) is a certain
positive-definite metric on the space of supersymmetric boundary conditions.
The proof depends on canonical ultraviolet behavior at the boundary. Any system
whose short distance behavior is governed by a fixed point satisfies this
requirement. The gradient formula implies that the boundary energy,
-\partial\ln z/\partial\beta = -T\beta^{a}\partial_{a}\ln z, is nonnegative.
Equivalently, the quantity \ln z(\lambda) decreases under the renormalization
group flow.

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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: physics