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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58420 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 1.4786 | 1.6834 | 0.8784 | [X:[1.3618], M:[0.9222, 0.6732, 0.9572], q:[0.5389, 0.5038], qb:[0.5389, 0.5038], phi:[0.3191]] | [X:[[0, 0, 2]], M:[[-1, 1, -3], [1, -1, -2], [0, 0, -3]], q:[[0, -1, 3], [-1, 0, 3]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -2 | t^2.02 + t^2.77 + 2*t^2.87 + t^3.02 + t^3.13 + t^4.04 + 3*t^4.09 + t^4.19 + t^4.79 + 2*t^4.89 + t^4.94 + 3*t^5.04 + 2*t^5.15 + t^5.53 + 2*t^5.6 + 2*t^5.64 + 2*t^5.7 + 3*t^5.74 + t^5.79 + t^5.89 - 2*t^6. + t^6.05 + t^6.06 + t^6.11 + t^6.15 + t^6.21 + t^6.26 + 2*t^6.55 + 2*t^6.66 + t^6.81 + t^6.85 + 2*t^6.91 + 5*t^6.96 + 3*t^7.06 + 3*t^7.11 + 2*t^7.17 + 4*t^7.21 + t^7.32 + 2*t^7.41 + t^7.55 + 2*t^7.62 + 2*t^7.66 + t^7.7 + 4*t^7.72 + 3*t^7.76 + 3*t^7.81 + 4*t^7.91 + t^7.96 - 2*t^8.02 + 3*t^8.07 + t^8.08 + t^8.12 + 7*t^8.17 + t^8.23 + 4*t^8.28 + t^8.3 + t^8.38 + 2*t^8.4 + 3*t^8.51 + t^8.56 + 6*t^8.62 + t^8.66 + 4*t^8.73 - 2*t^8.77 + t^8.81 + 3*t^8.83 - 3*t^8.87 + t^8.92 + 2*t^8.93 + t^8.87/y^2 - t^8.98/y^2 - t^3.96/y - t^4.91/y - t^5.98/y - t^6.72/y - (2*t^6.83)/y - t^6.93/y - t^6.98/y - t^7.09/y - t^7.68/y - t^7.79/y + (2*t^7.89)/y - t^8./y + t^8.15/y + (2*t^8.64)/y + t^8.79/y - (2*t^8.85)/y + (3*t^8.89)/y - t^8.95/y - t^3.96*y - t^4.91*y - t^5.98*y - t^6.72*y - 2*t^6.83*y - t^6.93*y - t^6.98*y - t^7.09*y - t^7.68*y - t^7.79*y + 2*t^7.89*y - t^8.*y + t^8.15*y + 2*t^8.64*y + t^8.79*y - 2*t^8.85*y + 3*t^8.89*y - t^8.95*y + t^8.87*y^2 - t^8.98*y^2 | (g1*t^2.02)/(g2*g3^2) + (g2*t^2.77)/(g1*g3^3) + (2*t^2.87)/g3^3 + (g2*g3^3*t^3.02)/g1 + g3^3*t^3.13 + (g1^2*t^4.04)/(g2^2*g3^4) + 3*g3^2*t^4.09 + (g1*g3^2*t^4.19)/g2 + t^4.79/g3^5 + (2*g1*t^4.89)/(g2*g3^5) + (g2*g3*t^4.94)/g1 + 3*g3*t^5.04 + (2*g1*g3*t^5.15)/g2 + (g2^2*t^5.53)/(g1^2*g3^6) + (g1*g2^2*t^5.6)/g3 + (g3^8*t^5.6)/(g1^2*g2) + (2*g2*t^5.64)/(g1*g3^6) + (g1^2*g2*t^5.7)/g3 + (g3^8*t^5.7)/(g1*g2^2) + (3*t^5.74)/g3^6 + (g2^2*t^5.79)/g1^2 + (g2*t^5.89)/g1 - 2*t^6. + (g2^2*g3^6*t^6.05)/g1^2 + (g1^3*t^6.06)/(g2^3*g3^6) + (g1*t^6.11)/g2 + (g2*g3^6*t^6.15)/g1 + (g1^2*t^6.21)/g2^2 + g3^6*t^6.26 + (g1*g2^2*t^6.55)/g3^2 + (g3^7*t^6.55)/(g1^2*g2) + (g1^2*g2*t^6.66)/g3^2 + (g3^7*t^6.66)/(g1*g2^2) + (g1*t^6.81)/(g2*g3^7) + (g2*t^6.85)/(g1*g3) + (2*g1^2*t^6.91)/(g2^2*g3^7) + (5*t^6.96)/g3 + (3*g1*t^7.06)/(g2*g3) + (3*g2*g3^5*t^7.11)/g1 + (2*g1^2*t^7.17)/(g2^2*g3) + 4*g3^5*t^7.21 + (g1*g3^5*t^7.32)/g2 + (g2^3*t^7.41)/g3^3 + (g3^6*t^7.41)/g1^3 + (g2*t^7.55)/(g1*g3^8) + (g1^2*g2*t^7.62)/g3^3 + (g3^6*t^7.62)/(g1*g2^2) + (2*t^7.66)/g3^8 + (g2^2*t^7.7)/(g1^2*g3^2) + (2*g1^3*t^7.72)/g3^3 + (2*g3^6*t^7.72)/g2^3 + (3*g1*t^7.76)/(g2*g3^8) + (3*g2*t^7.81)/(g1*g3^2) + (4*t^7.91)/g3^2 + (g2^2*g3^4*t^7.96)/g1^2 - (2*g1*t^8.02)/(g2*g3^2) + (3*g2*g3^4*t^8.07)/g1 + (g1^4*t^8.08)/(g2^4*g3^8) + (g1^2*t^8.12)/(g2^2*g3^2) + 7*g3^4*t^8.17 + (g1^3*t^8.23)/(g2^3*g3^2) + (4*g1*g3^4*t^8.28)/g2 + (g2^3*t^8.3)/(g1^3*g3^9) + (g1^2*g3^4*t^8.38)/g2^2 + (2*g2^2*t^8.4)/(g1^2*g3^9) + (3*g2*t^8.51)/(g1*g3^9) + (g2^3*t^8.56)/(g1^3*g3^3) + (4*t^8.62)/g3^9 + g2^3*g3^2*t^8.62 + (g3^11*t^8.62)/g1^3 + (g2^2*t^8.66)/(g1^2*g3^3) + 2*g1*g2^2*g3^2*t^8.73 + (2*g3^11*t^8.73)/(g1^2*g2) - (2*g2*t^8.77)/(g1*g3^3) + (g2^3*g3^3*t^8.81)/g1^3 + (g1^2*t^8.83)/(g2^2*g3^9) + g1^2*g2*g3^2*t^8.83 + (g3^11*t^8.83)/(g1*g2^2) - (3*t^8.87)/g3^3 + (g2^2*g3^3*t^8.92)/g1^2 + (2*g1^3*t^8.93)/(g2^3*g3^9) + t^8.87/(g3^3*y^2) - (g1*t^8.98)/(g2*g3^3*y^2) - t^3.96/(g3*y) - t^4.91/(g3^2*y) - (g1*t^5.98)/(g2*g3^3*y) - (g2*t^6.72)/(g1*g3^4*y) - (2*t^6.83)/(g3^4*y) - (g1*t^6.93)/(g2*g3^4*y) - (g2*g3^2*t^6.98)/(g1*y) - (g3^2*t^7.09)/y - (g2*t^7.68)/(g1*g3^5*y) - t^7.79/(g3^5*y) + (2*g1*t^7.89)/(g2*g3^5*y) - (g1^2*t^8.)/(g2^2*g3^5*y) + (g1*g3*t^8.15)/(g2*y) + (2*g2*t^8.64)/(g1*g3^6*y) + (g2^2*t^8.79)/(g1^2*y) - (2*g1*t^8.85)/(g2*g3^6*y) + (3*g2*t^8.89)/(g1*y) - (g1^2*t^8.95)/(g2^2*g3^6*y) - (t^3.96*y)/g3 - (t^4.91*y)/g3^2 - (g1*t^5.98*y)/(g2*g3^3) - (g2*t^6.72*y)/(g1*g3^4) - (2*t^6.83*y)/g3^4 - (g1*t^6.93*y)/(g2*g3^4) - (g2*g3^2*t^6.98*y)/g1 - g3^2*t^7.09*y - (g2*t^7.68*y)/(g1*g3^5) - (t^7.79*y)/g3^5 + (2*g1*t^7.89*y)/(g2*g3^5) - (g1^2*t^8.*y)/(g2^2*g3^5) + (g1*g3*t^8.15*y)/g2 + (2*g2*t^8.64*y)/(g1*g3^6) + (g2^2*t^8.79*y)/g1^2 - (2*g1*t^8.85*y)/(g2*g3^6) + (3*g2*t^8.89*y)/g1 - (g1^2*t^8.95*y)/(g2^2*g3^6) + (t^8.87*y^2)/g3^3 - (g1*t^8.98*y^2)/(g2*g3^3) |
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 |
---|---|---|---|---|---|---|---|---|---|
57361 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 1.4803 | 1.6874 | 0.8773 | [X:[1.3615], M:[0.9228, 0.6736, 0.9213], q:[0.5197, 0.5212], qb:[0.5576, 0.486], phi:[0.3193]] | t^2.021 + t^2.764 + t^2.768 + t^2.873 + t^3.017 + t^3.021 + t^3.975 + t^4.042 + t^4.084 + t^4.19 + t^4.194 + t^4.785 + t^4.789 + t^4.894 + t^4.933 + t^4.937 + t^5.038 + t^5.042 + t^5.147 + t^5.152 + t^5.528 + t^5.532 + t^5.537 + t^5.546 + t^5.637 + t^5.639 + t^5.642 + t^5.644 + t^5.747 + t^5.761 + t^5.781 + t^5.785 + t^5.79 + t^5.89 + t^5.895 - 4*t^6. - t^3.958/y - t^4.916/y - t^5.979/y - t^3.958*y - t^4.916*y - t^5.979*y | detail |