Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
1381 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.6941 | 0.85 | 0.8166 | [M:[0.9667, 1.0111, 1.0333, 0.9445, 0.9667, 1.0555], q:[0.5056, 0.5278], qb:[0.4611, 0.5278], phi:[0.4944]] | [M:[[-6], [2], [6], [-10], [-6], [10]], q:[[1], [5]], qb:[[-7], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -2 | 2*t^2.9 + 2*t^2.967 + t^3.033 + t^3.1 + t^3.167 + t^4.25 + t^4.383 + 2*t^4.45 + t^4.517 + 2*t^4.583 + 3*t^4.65 + t^5.8 + 3*t^5.867 + 3*t^5.933 - 2*t^6. + 2*t^6.067 + 2*t^6.133 + t^6.266 + t^6.333 + 2*t^7.15 + 2*t^7.217 + 4*t^7.35 + 4*t^7.417 + 6*t^7.55 + 6*t^7.617 + 3*t^7.75 + 3*t^7.816 + t^8.5 + t^8.634 + 2*t^8.7 + t^8.767 + 6*t^8.833 + t^8.9 - 6*t^8.967 - t^4.483/y - t^7.383/y + t^7.583/y + t^8.8/y + (4*t^8.867)/y + (3*t^8.933)/y - t^4.483*y - t^7.383*y + t^7.583*y + t^8.8*y + 4*t^8.867*y + 3*t^8.933*y | (2*t^2.9)/g1^6 + (2*t^2.967)/g1^2 + g1^2*t^3.033 + g1^6*t^3.1 + g1^10*t^3.167 + t^4.25/g1^15 + t^4.383/g1^7 + (2*t^4.45)/g1^3 + g1*t^4.517 + 2*g1^5*t^4.583 + 3*g1^9*t^4.65 + t^5.8/g1^12 + (3*t^5.867)/g1^8 + (3*t^5.933)/g1^4 - 2*t^6. + 2*g1^4*t^6.067 + 2*g1^8*t^6.133 + g1^16*t^6.266 + g1^20*t^6.333 + (2*t^7.15)/g1^21 + (2*t^7.217)/g1^17 + (4*t^7.35)/g1^9 + (4*t^7.417)/g1^5 + 6*g1^3*t^7.55 + 6*g1^7*t^7.617 + 3*g1^15*t^7.75 + 3*g1^19*t^7.816 + t^8.5/g1^30 + t^8.634/g1^22 + (2*t^8.7)/g1^18 + t^8.767/g1^14 + (6*t^8.833)/g1^10 + t^8.9/g1^6 - (6*t^8.967)/g1^2 - t^4.483/(g1*y) - t^7.383/(g1^7*y) + (g1^5*t^7.583)/y + t^8.8/(g1^12*y) + (4*t^8.867)/(g1^8*y) + (3*t^8.933)/(g1^4*y) - (t^4.483*y)/g1 - (t^7.383*y)/g1^7 + g1^5*t^7.583*y + (t^8.8*y)/g1^12 + (4*t^8.867*y)/g1^8 + (3*t^8.933*y)/g1^4 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
2445 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}M_{7}$ | 0.6952 | 0.8519 | 0.8161 | [M:[0.9603, 1.0132, 1.0397, 0.9338, 0.9603, 1.0662, 0.9868], q:[0.5066, 0.5331], qb:[0.4537, 0.5331], phi:[0.4934]] | 2*t^2.881 + 3*t^2.96 + t^3.119 + t^3.199 + t^4.202 + t^4.361 + 2*t^4.44 + t^4.52 + 2*t^4.599 + 3*t^4.679 + t^5.762 + 5*t^5.841 + 4*t^5.921 - 4*t^6. - t^4.48/y - t^4.48*y | detail | |
2443 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6981 | 0.857 | 0.8145 | [M:[0.948, 1.0173, 1.052, 0.9133, 0.948, 1.0867, 0.948], q:[0.5087, 0.5433], qb:[0.4393, 0.5433], phi:[0.4913]] | 3*t^2.844 + 2*t^2.948 + t^3.052 + t^3.26 + t^4.11 + t^4.318 + 2*t^4.422 + t^4.526 + 2*t^4.63 + 3*t^4.734 + 4*t^5.688 + 5*t^5.792 + 4*t^5.896 - 4*t^6. - t^4.474/y - t^4.474*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
896 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7014 | 0.8635 | 0.8123 | [M:[0.9379, 1.0207, 1.0621, 0.8965, 0.9379], q:[0.5103, 0.5517], qb:[0.4276, 0.5517], phi:[0.4897]] | t^2.69 + 2*t^2.814 + 2*t^2.938 + t^3.062 + t^3.186 + t^4.034 + t^4.283 + 2*t^4.407 + t^4.531 + 2*t^4.655 + 3*t^4.779 + t^5.379 + 2*t^5.503 + 3*t^5.627 + 4*t^5.752 + 4*t^5.876 - 2*t^6. - t^4.469/y - t^4.469*y | detail |