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 |
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59454 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.9698 | 1.1738 | 0.8263 | [X:[1.6315, 1.4858, 1.5142, 1.3685], M:[0.8685, 0.8685], q:[0.1619, 0.3077], qb:[0.2065, 0.3239], phi:[0.5]] | [X:[[0, -1], [-3, 0], [3, 0], [0, 1]], M:[[0, 1], [0, 1]], q:[[-1, 0], [2, -1]], qb:[[1, 1], [-2, 0]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$ | ${}$ | -3 | 3*t^2.61 + t^2.96 + t^3. + t^3.04 + t^3.71 + t^3.83 + t^4.06 + 2*t^4.11 + 2*t^4.46 + t^4.5 + 2*t^4.54 + 3*t^4.89 + 7*t^5.21 + t^5.33 + 3*t^5.56 + 2*t^5.61 + 2*t^5.65 + t^5.91 + t^5.96 - 3*t^6. + t^6.09 + 3*t^6.32 - t^6.35 + t^6.36 - t^6.39 + 2*t^6.67 + 7*t^6.71 + t^6.75 - t^6.79 + t^6.83 + t^6.87 + t^7.02 + 8*t^7.06 + 2*t^7.11 + 7*t^7.15 + t^7.27 + 3*t^7.41 + t^7.42 + 8*t^7.5 + 2*t^7.54 + 2*t^7.59 + t^7.66 + t^7.77 + 13*t^7.82 - t^7.86 + 3*t^7.94 + t^8.13 + 7*t^8.17 + 6*t^8.21 + 4*t^8.25 - t^8.29 + t^8.37 + 3*t^8.52 + 4*t^8.56 - 11*t^8.61 + t^8.65 + 2*t^8.69 + t^8.73 - t^8.77 + t^8.87 + 3*t^8.91 + 7*t^8.92 - 4*t^8.96 - t^4.5/y - t^6./y - (2*t^7.11)/y + t^7.5/y + (2*t^7.89)/y + (3*t^8.21)/y + (3*t^8.56)/y - t^8.61/y + (3*t^8.65)/y - t^8.96/y - t^4.5*y - t^6.*y - 2*t^7.11*y + t^7.5*y + 2*t^7.89*y + 3*t^8.21*y + 3*t^8.56*y - t^8.61*y + 3*t^8.65*y - t^8.96*y | 3*g2*t^2.61 + t^2.96/g1^3 + t^3. + g1^3*t^3.04 + g2^2*t^3.71 + (g1^3*t^3.83)/g2^2 + (g2*t^4.06)/g1^3 + 2*g2*t^4.11 + (2*t^4.46)/g1^3 + t^4.5 + 2*g1^3*t^4.54 + (3*t^4.89)/g2 + 7*g2^2*t^5.21 + (g1^3*t^5.33)/g2^2 + (3*g2*t^5.56)/g1^3 + 2*g2*t^5.61 + 2*g1^3*g2*t^5.65 + t^5.91/g1^6 + t^5.96/g1^3 - 3*t^6. + g1^6*t^6.09 + 3*g2^3*t^6.32 - t^6.35/(g1^3*g2) + g1^3*g2^3*t^6.36 - t^6.39/g2 + (2*g2^2*t^6.67)/g1^3 + 7*g2^2*t^6.71 + g1^3*g2^2*t^6.75 - t^6.79/g2^2 + (g1^3*t^6.83)/g2^2 + (g1^6*t^6.87)/g2^2 + (g2*t^7.02)/g1^6 + (8*g2*t^7.06)/g1^3 + 2*g2*t^7.11 + 7*g1^3*g2*t^7.15 + (g1^6*t^7.27)/g2^3 + (3*t^7.41)/g1^6 + g2^4*t^7.42 + 8*t^7.5 + 2*g1^3*t^7.54 + 2*g1^6*t^7.59 + (g1^6*t^7.66)/g2^4 + (g2^3*t^7.77)/g1^3 + 13*g2^3*t^7.82 - g1^3*g2^3*t^7.86 + (3*g1^3*t^7.94)/g2 + (g2^2*t^8.13)/g1^6 + (7*g2^2*t^8.17)/g1^3 + 6*g2^2*t^8.21 + 4*g1^3*g2^2*t^8.25 - t^8.29/g2^2 + (g1^6*t^8.37)/g2^2 + (3*g2*t^8.52)/g1^6 + (4*g2*t^8.56)/g1^3 - 11*g2*t^8.61 + g1^3*g2*t^8.65 + 2*g1^6*g2*t^8.69 + (g1^3*t^8.73)/g2^3 - (g1^6*t^8.77)/g2^3 + t^8.87/g1^9 + (3*t^8.91)/g1^6 + 7*g2^4*t^8.92 - (7*t^8.96)/g1^3 + 3*g1^3*g2^4*t^8.96 - t^4.5/y - t^6./y - (2*g2*t^7.11)/y + t^7.5/y + (2*t^7.89)/(g2*y) + (3*g2^2*t^8.21)/y + (3*g2*t^8.56)/(g1^3*y) - (g2*t^8.61)/y + (3*g1^3*g2*t^8.65)/y - t^8.96/(g1^3*y) - t^4.5*y - t^6.*y - 2*g2*t^7.11*y + t^7.5*y + (2*t^7.89*y)/g2 + 3*g2^2*t^8.21*y + (3*g2*t^8.56*y)/g1^3 - g2*t^8.61*y + 3*g1^3*g2*t^8.65*y - (t^8.96*y)/g1^3 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57683 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.9587 | 1.1535 | 0.8311 | [X:[1.6173, 1.4795, 1.5205, 1.3827], M:[0.8827], q:[0.1598, 0.2976], qb:[0.2228, 0.3197], phi:[0.5]] | 2*t^2.65 + t^2.94 + t^3. + t^3.06 + t^3.35 + t^3.77 + t^3.8 + t^4.09 + 2*t^4.15 + 2*t^4.44 + t^4.5 + 2*t^4.56 + 3*t^4.85 + t^5.27 + 4*t^5.3 + 2*t^5.59 + t^5.65 + t^5.71 + t^5.88 + t^5.94 - t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |