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 |
---|---|---|---|---|---|---|---|---|---|
51859 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6941 | 0.85 | 0.8166 | [M:[1.0333, 0.9667, 0.9667, 1.0111, 1.0111, 0.9889], q:[0.5056, 0.4611], qb:[0.5278, 0.5278], phi:[0.4944]] | [M:[[6], [-6], [-6], [2], [2], [-2]], q:[[1], [-7]], qb:[[5], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}M_{1}M_{2}$, ${ }M_{5}M_{6}$ | -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 |
---|---|---|---|---|---|---|---|---|
56345 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6981 | 0.857 | 0.8145 | [M:[1.052, 0.948, 0.948, 1.0173, 1.0173, 0.9827, 0.948], q:[0.5087, 0.4393], qb:[0.5433, 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 | |
56343 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6952 | 0.8519 | 0.8161 | [M:[1.0397, 0.9603, 0.9603, 1.0132, 1.0132, 0.9868, 0.9868], q:[0.5066, 0.4537], qb:[0.5331, 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 |
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 |
---|---|---|---|---|---|---|---|---|---|
47244 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6931 | 0.8486 | 0.8169 | [M:[1.0269, 0.9731, 0.9731, 1.009, 1.009], q:[0.5045, 0.4687], qb:[0.5224, 0.5224], phi:[0.4955]] | 2*t^2.919 + t^2.973 + 2*t^3.027 + t^3.081 + t^3.134 + t^4.299 + t^4.406 + 2*t^4.46 + t^4.513 + 2*t^4.567 + 3*t^4.621 + t^5.839 + t^5.893 + 3*t^5.946 - 2*t^6. - t^4.487/y - t^4.487*y | detail |