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 |
---|---|---|---|---|---|---|---|---|---|
58766 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 1.3031 | 1.5472 | 0.8422 | [X:[], M:[1.0945], q:[0.5685, 0.463], qb:[0.337, 0.2315], phi:[0.4]] | [X:[], M:[[3]], q:[[-1], [2]], qb:[[-2], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ 2}\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ 3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ 2}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ 2}\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | 11 | t^2.08 + 3*t^2.4 + 2*t^3.28 + 4*t^3.6 + 2*t^3.92 + t^4.17 + 4*t^4.48 + 9*t^4.8 + 2*t^5.12 + 2*t^5.37 + 10*t^5.68 + 11*t^6. + t^6.25 + 4*t^6.32 + 7*t^6.57 + t^6.63 + 17*t^6.88 + 25*t^7.2 + 2*t^7.45 + 6*t^7.52 + 13*t^7.77 + 2*t^7.83 + 27*t^8.08 + t^8.33 + 24*t^8.4 + 7*t^8.65 + 11*t^8.72 + 26*t^8.97 - t^4.2/y - t^5.4/y - t^6.28/y - (3*t^6.6)/y + t^7.48/y + t^8.37/y + (5*t^8.68)/y - t^4.2*y - t^5.4*y - t^6.28*y - 3*t^6.6*y + t^7.48*y + t^8.37*y + 5*t^8.68*y | g1^3*t^2.08 + 3*t^2.4 + 2*g1^3*t^3.28 + 4*t^3.6 + (2*t^3.92)/g1^3 + g1^6*t^4.17 + 4*g1^3*t^4.48 + 9*t^4.8 + (2*t^5.12)/g1^3 + 2*g1^6*t^5.37 + 10*g1^3*t^5.68 + 11*t^6. + g1^9*t^6.25 + (4*t^6.32)/g1^3 + 7*g1^6*t^6.57 + t^6.63/g1^6 + 17*g1^3*t^6.88 + 25*t^7.2 + 2*g1^9*t^7.45 + (6*t^7.52)/g1^3 + 13*g1^6*t^7.77 + (2*t^7.83)/g1^6 + 27*g1^3*t^8.08 + g1^12*t^8.33 + 24*t^8.4 + 7*g1^9*t^8.65 + (11*t^8.72)/g1^3 + 26*g1^6*t^8.97 - t^4.2/y - t^5.4/y - (g1^3*t^6.28)/y - (3*t^6.6)/y + (g1^3*t^7.48)/y + (g1^6*t^8.37)/y + (5*g1^3*t^8.68)/y - t^4.2*y - t^5.4*y - g1^3*t^6.28*y - 3*t^6.6*y + g1^3*t^7.48*y + g1^6*t^8.37*y + 5*g1^3*t^8.68*y |
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 |
---|---|---|---|---|---|---|---|---|
61083 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.3196 | 1.5762 | 0.8372 | [X:[], M:[1.0945, 0.8], q:[0.5685, 0.463], qb:[0.337, 0.2315], phi:[0.4]] | t^2.08 + 4*t^2.4 + 2*t^3.28 + 3*t^3.6 + 2*t^3.92 + t^4.17 + 5*t^4.48 + 13*t^4.8 + 2*t^5.12 + 2*t^5.37 + 11*t^5.68 + 11*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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 |
---|---|---|---|---|---|---|---|---|---|
57441 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3154 | 1.5597 | 0.8434 | [M:[1.0922], q:[0.597, 0.4059], qb:[0.3107, 0.2863], phi:[0.4]] | t^2.077 + t^2.15 + t^2.4 + t^2.65 + 2*t^3.277 + t^3.35 + t^3.6 + 2*t^3.85 + 2*t^3.923 + t^4.153 + t^4.227 + t^4.3 + 2*t^4.477 + 2*t^4.55 + t^4.727 + 2*t^4.8 + 3*t^5.05 + 2*t^5.123 + t^5.3 + 2*t^5.353 + 3*t^5.427 + t^5.5 + 3*t^5.677 + 2*t^5.75 + 3*t^5.927 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |