From f824dea3df7492fecfa95d34b33900a533bfd699 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Tue, 29 Oct 2024 10:24:54 +0100
Subject: Changed also convention for superbasis in R^N|4

---
 marginal.tex | 13 +++++++++++--
 1 file changed, 11 insertions(+), 2 deletions(-)

(limited to 'marginal.tex')

diff --git a/marginal.tex b/marginal.tex
index 88809d2..85743c3 100644
--- a/marginal.tex
+++ b/marginal.tex
@@ -1843,8 +1843,17 @@ The same method can be used to calculate the
 superdeterminant and supertrace in arbitrary superspaces, where for $\mathbb R^{N|2D}$ each
 basis has $2^{2D-1}$ elements. For instance, for $\mathbb R^{N|4}$ we have
 \begin{align}
-  &\mathbf e(1,2)=\{1,i\bar\theta_1\theta_1,i\bar\theta_2\theta_2,i\bar\theta_1\theta_2,i\bar\theta_2\theta_1,i\bar\theta_1\bar\theta_2,i\theta_1\theta_2,\bar\theta_1\theta_1\bar\theta_2\theta_2\}\notag \\
-  &\mathbf f(1,2)=\{i\bar\theta_1,i\theta_1,i\bar\theta_2,i\theta_2,\bar\theta_1\theta_1\bar\theta_2,\bar\theta_2\theta_2\theta_1,\bar\theta_1\theta_1\theta_2,\bar\theta_2\theta_2\theta_1\}
+  &\mathbf e(1,2)=\{
+    1,\bar\theta_1\theta_1,\bar\theta_2\theta_2,
+    \bar\theta_1\theta_2,\bar\theta_2\theta_1,
+    \bar\theta_1\bar\theta_2,\theta_1\theta_2,
+    \bar\theta_1\theta_1\bar\theta_2\theta_2
+  \}\notag \\
+  &\mathbf f(1,2)=\{
+    \bar\theta_1,\theta_1,\bar\theta_2,\theta_2,
+    \bar\theta_1\theta_1\bar\theta_2,\bar\theta_2\theta_2\theta_1,
+    \bar\theta_1\theta_1\theta_2,\bar\theta_2\theta_2\theta_1
+  \}
 \end{align}
 with the dual bases defined analogously to those above.
 
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