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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60497 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.9887 | 1.1966 | 0.8263 | [X:[1.5, 1.5505, 1.4495, 1.5], M:[0.7248, 0.9495], q:[0.2752, 0.2248], qb:[0.2248, 0.2752], phi:[0.5]] | [X:[[0, -3], [-2, 0], [2, 0], [0, 3]], M:[[1, 0], [2, 0]], q:[[-1, 1], [1, -2]], qb:[[1, 2], [-1, -1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0 | t^2.17 + 2*t^2.85 + 3*t^3. + 2*t^3.67 + t^3.83 + 3*t^4.35 + 5*t^4.5 + 2*t^4.65 + 2*t^5.02 + 5*t^5.17 + 2*t^5.33 + 3*t^5.7 + 5*t^5.85 - 3*t^6.15 + 9*t^6.52 + 9*t^6.67 + t^6.83 + 2*t^6.98 + 6*t^7.2 + 20*t^7.35 + 15*t^7.5 + 3*t^7.65 + 3*t^7.87 + 7*t^8.02 + 6*t^8.17 - 4*t^8.33 - 4*t^8.48 + 4*t^8.55 + 15*t^8.7 + 7*t^8.85 - t^4.5/y - t^6./y - t^6.67/y - t^7.35/y + t^7.5/y + t^7.65/y + (2*t^8.02)/y + (2*t^8.17)/y + t^8.33/y + t^8.7/y + (4*t^8.85)/y - t^4.5*y - t^6.*y - t^6.67*y - t^7.35*y + t^7.5*y + t^7.65*y + 2*t^8.02*y + 2*t^8.17*y + t^8.33*y + t^8.7*y + 4*t^8.85*y | g1*t^2.17 + 2*g1^2*t^2.85 + t^3. + t^3./g2^3 + g2^3*t^3. + (g1*t^3.67)/g2^3 + g1*g2^3*t^3.67 + t^3.83/g1 + 3*g1^2*t^4.35 + t^4.5 + (2*t^4.5)/g2^3 + 2*g2^3*t^4.5 + (2*t^4.65)/g1^2 + 2*g1^3*t^5.02 + g1*t^5.17 + (2*g1*t^5.17)/g2^3 + 2*g1*g2^3*t^5.17 + (2*t^5.33)/g1 + 3*g1^4*t^5.7 + g1^2*t^5.85 + (2*g1^2*t^5.85)/g2^3 + 2*g1^2*g2^3*t^5.85 - 2*t^6. + t^6./g2^6 + g2^6*t^6. - t^6.15/g1^2 - t^6.15/(g1^2*g2^3) - (g2^3*t^6.15)/g1^2 + 3*g1^3*t^6.52 + (g1^3*t^6.52)/g2^6 + (2*g1^3*t^6.52)/g2^3 + 2*g1^3*g2^3*t^6.52 + g1^3*g2^6*t^6.52 + g1*t^6.67 + (g1*t^6.67)/g2^6 + (3*g1*t^6.67)/g2^3 + 3*g1*g2^3*t^6.67 + g1*g2^6*t^6.67 + (3*t^6.83)/g1 - t^6.83/(g1*g2^3) - (g2^3*t^6.83)/g1 + t^6.98/(g1^3*g2^3) + (g2^3*t^6.98)/g1^3 + 6*g1^4*t^7.2 + 4*g1^2*t^7.35 + (g1^2*t^7.35)/g2^6 + (7*g1^2*t^7.35)/g2^3 + 7*g1^2*g2^3*t^7.35 + g1^2*g2^6*t^7.35 + 7*t^7.5 + (2*t^7.5)/g2^6 + (2*t^7.5)/g2^3 + 2*g2^3*t^7.5 + 2*g2^6*t^7.5 + t^7.65/g1^2 + t^7.65/(g1^2*g2^3) + (g2^3*t^7.65)/g1^2 + 3*g1^5*t^7.87 + g1^3*t^8.02 - (g1^3*t^8.02)/g2^6 + (4*g1^3*t^8.02)/g2^3 + 4*g1^3*g2^3*t^8.02 - g1^3*g2^6*t^8.02 + 2*g1*t^8.17 + (2*g1*t^8.17)/g2^6 + 2*g1*g2^6*t^8.17 - (2*t^8.33)/g1 - t^8.33/(g1*g2^3) - (g2^3*t^8.33)/g1 - (2*t^8.48)/g1^3 - t^8.48/(g1^3*g2^3) - (g2^3*t^8.48)/g1^3 + 4*g1^6*t^8.55 + 7*g1^4*t^8.7 + (g1^4*t^8.7)/g2^6 + (3*g1^4*t^8.7)/g2^3 + 3*g1^4*g2^3*t^8.7 + g1^4*g2^6*t^8.7 - 7*g1^2*t^8.85 + (3*g1^2*t^8.85)/g2^6 + (4*g1^2*t^8.85)/g2^3 + 4*g1^2*g2^3*t^8.85 + 3*g1^2*g2^6*t^8.85 - t^4.5/y - t^6./y - (g1*t^6.67)/y - (g1^2*t^7.35)/y + t^7.5/y + t^7.65/(g1^2*y) + (2*g1^3*t^8.02)/y + (g1*t^8.17)/(g2^3*y) + (g1*g2^3*t^8.17)/y + t^8.33/(g1*y) + (g1^4*t^8.7)/y - (2*g1^2*t^8.85)/y + (3*g1^2*t^8.85)/(g2^3*y) + (3*g1^2*g2^3*t^8.85)/y - t^4.5*y - t^6.*y - g1*t^6.67*y - g1^2*t^7.35*y + t^7.5*y + (t^7.65*y)/g1^2 + 2*g1^3*t^8.02*y + (g1*t^8.17*y)/g2^3 + g1*g2^3*t^8.17*y + (t^8.33*y)/g1 + g1^4*t^8.7*y - 2*g1^2*t^8.85*y + (3*g1^2*t^8.85*y)/g2^3 + 3*g1^2*g2^3*t^8.85*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57723 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.9859 | 1.1893 | 0.829 | [X:[1.5, 1.5093, 1.4907, 1.5], M:[0.7454], q:[0.2546, 0.2454], qb:[0.2454, 0.2546], phi:[0.5]] | t^2.24 + t^2.97 + 3*t^3. + t^3.03 + 2*t^3.74 + t^3.76 + 3*t^4.47 + 5*t^4.5 + 2*t^4.53 + t^5.21 + 5*t^5.24 + 3*t^5.26 + t^5.94 + 2*t^5.97 + t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |