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 |
---|---|---|---|---|---|---|---|---|---|
55681 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1\phi_1^2$ + $ \phi_1q_3\tilde{q}_1$ | 0.8008 | 0.9717 | 0.8242 | [X:[], M:[0.9333], q:[0.7333, 0.7333, 0.7333], qb:[0.7333, 0.4667, 0.4667], phi:[0.5333]] | [X:[], M:[[0, 0, 2, 2]], q:[[-1, 0, 1, 1], [1, 0, 0, 0], [0, -1, 1, 1]], qb:[[0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], phi:[[0, 0, -1, -1]]] | 4 | {a: 961/1200, c: 583/600, M1: 14/15, q1: 11/15, q2: 11/15, q3: 11/15, qb1: 11/15, qb2: 7/15, qb3: 7/15, phi1: 8/15} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \tilde{q}_2\tilde{q}_3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ M_1^2$, $ M_1\tilde{q}_2\tilde{q}_3$, $ \tilde{q}_2^2\tilde{q}_3^2$ | . | -10 | 2*t^2.8 + 8*t^3.6 + 9*t^4.4 + 3*t^5.6 - 10*t^6. + 16*t^6.4 - 16*t^6.8 + 45*t^7.2 - 9*t^7.6 + 48*t^8. + 4*t^8.4 - 6*t^8.8 - t^4.6/y + t^8.6/y - t^4.6*y + t^8.6*y | 2*g3^2*g4^2*t^2.8 + g1*g3^2*t^3.6 + g2*g3^2*t^3.6 + (g3^3*g4*t^3.6)/g1 + (g3^3*g4*t^3.6)/g2 + g1*g4^2*t^3.6 + g2*g4^2*t^3.6 + (g3*g4^3*t^3.6)/g1 + (g3*g4^3*t^3.6)/g2 + g1*g2*t^4.4 + (g3^3*t^4.4)/g4 + 3*g3*g4*t^4.4 + (g1*g3*g4*t^4.4)/g2 + (g2*g3*g4*t^4.4)/g1 + (g3^2*g4^2*t^4.4)/(g1*g2) + (g4^3*t^4.4)/g3 + 3*g3^4*g4^4*t^5.6 - 4*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 - (g3^2*t^6.)/g4^2 - (g1*g2*t^6.)/(g3*g4) - (g3*g4*t^6.)/(g1*g2) - (g4^2*t^6.)/g3^2 + 2*g1*g3^4*g4^2*t^6.4 + 2*g2*g3^4*g4^2*t^6.4 + (2*g3^5*g4^3*t^6.4)/g1 + (2*g3^5*g4^3*t^6.4)/g2 + 2*g1*g3^2*g4^4*t^6.4 + 2*g2*g3^2*g4^4*t^6.4 + (2*g3^3*g4^5*t^6.4)/g1 + (2*g3^3*g4^5*t^6.4)/g2 - (2*g1*t^6.8)/g3^2 - (2*g2*t^6.8)/g3^2 - (2*g1*t^6.8)/g4^2 - (2*g2*t^6.8)/g4^2 - (2*g3*t^6.8)/(g1*g4) - (2*g3*t^6.8)/(g2*g4) - (2*g4*t^6.8)/(g1*g3) - (2*g4*t^6.8)/(g2*g3) + g1^2*g3^4*t^7.2 + g1*g2*g3^4*t^7.2 + g2^2*g3^4*t^7.2 + 3*g3^5*g4*t^7.2 + (g1*g3^5*g4*t^7.2)/g2 + (g2*g3^5*g4*t^7.2)/g1 + g1^2*g3^2*g4^2*t^7.2 + 3*g1*g2*g3^2*g4^2*t^7.2 + g2^2*g3^2*g4^2*t^7.2 + (g3^6*g4^2*t^7.2)/g1^2 + (g3^6*g4^2*t^7.2)/g2^2 + (g3^6*g4^2*t^7.2)/(g1*g2) + 7*g3^3*g4^3*t^7.2 + (3*g1*g3^3*g4^3*t^7.2)/g2 + (3*g2*g3^3*g4^3*t^7.2)/g1 + g1^2*g4^4*t^7.2 + g1*g2*g4^4*t^7.2 + g2^2*g4^4*t^7.2 + (g3^4*g4^4*t^7.2)/g1^2 + (g3^4*g4^4*t^7.2)/g2^2 + (3*g3^4*g4^4*t^7.2)/(g1*g2) + 3*g3*g4^5*t^7.2 + (g1*g3*g4^5*t^7.2)/g2 + (g2*g3*g4^5*t^7.2)/g1 + (g3^2*g4^6*t^7.2)/g1^2 + (g3^2*g4^6*t^7.2)/g2^2 + (g3^2*g4^6*t^7.2)/(g1*g2) - t^7.6/(g1*g2) - (g3*t^7.6)/g4^3 - (g1*g2*t^7.6)/(g3^2*g4^2) - (3*t^7.6)/(g3*g4) - (g1*t^7.6)/(g2*g3*g4) - (g2*t^7.6)/(g1*g3*g4) - (g4*t^7.6)/g3^3 + g1^2*g2*g3^2*t^8. + g1*g2^2*g3^2*t^8. + (g3^6*t^8.)/g1 + (g3^6*t^8.)/g2 + (g1*g3^5*t^8.)/g4 + (g2*g3^5*t^8.)/g4 + 3*g1*g3^3*g4*t^8. + (g1^2*g3^3*g4*t^8.)/g2 + 3*g2*g3^3*g4*t^8. + (g2^2*g3^3*g4*t^8.)/g1 + g1^2*g2*g4^2*t^8. + g1*g2^2*g4^2*t^8. + (3*g3^4*g4^2*t^8.)/g1 + (g1*g3^4*g4^2*t^8.)/g2^2 + (3*g3^4*g4^2*t^8.)/g2 + (g2*g3^4*g4^2*t^8.)/g1^2 + 3*g1*g3*g4^3*t^8. + (g1^2*g3*g4^3*t^8.)/g2 + 3*g2*g3*g4^3*t^8. + (g2^2*g3*g4^3*t^8.)/g1 + (g3^5*g4^3*t^8.)/(g1*g2^2) + (g3^5*g4^3*t^8.)/(g1^2*g2) + (3*g3^2*g4^4*t^8.)/g1 + (g1*g3^2*g4^4*t^8.)/g2^2 + (3*g3^2*g4^4*t^8.)/g2 + (g2*g3^2*g4^4*t^8.)/g1^2 + (g1*g4^5*t^8.)/g3 + (g2*g4^5*t^8.)/g3 + (g3^3*g4^5*t^8.)/(g1*g2^2) + (g3^3*g4^5*t^8.)/(g1^2*g2) + (g4^6*t^8.)/g1 + (g4^6*t^8.)/g2 + 4*g3^6*g4^6*t^8.4 + g1^2*g2^2*t^8.8 - g3^4*t^8.8 + (g3^6*t^8.8)/g4^2 - g1*g2*g3*g4*t^8.8 - 6*g3^2*g4^2*t^8.8 + (g1^2*g3^2*g4^2*t^8.8)/g2^2 - (g1*g3^2*g4^2*t^8.8)/g2 - (g2*g3^2*g4^2*t^8.8)/g1 + (g2^2*g3^2*g4^2*t^8.8)/g1^2 - (g3^3*g4^3*t^8.8)/(g1*g2) - g4^4*t^8.8 + (g3^4*g4^4*t^8.8)/(g1^2*g2^2) + (g4^6*t^8.8)/g3^2 - t^4.6/(g3*g4*y) + (g3^4*g4^4*t^8.6)/y - (t^4.6*y)/(g3*g4) + g3^4*g4^4*t^8.6*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 |
---|---|---|---|---|---|---|---|---|
55727 | $\phi_1q_1q_2$ + $ M_1\phi_1^2$ + $ \phi_1q_3\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ | 0.8188 | 1.0013 | 0.8177 | [X:[], M:[0.951, 0.7515], q:[0.7142, 0.7613, 0.7377], qb:[0.7377, 0.4873, 0.4637], phi:[0.5245]] | t^2.25 + 2*t^2.85 + t^3.53 + 3*t^3.6 + 3*t^3.67 + 3*t^4.36 + 3*t^4.43 + 3*t^4.5 + t^4.51 + 2*t^5.11 + 3*t^5.71 + t^5.79 + 3*t^5.86 - 4*t^6. - t^4.57/y - t^4.57*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 |
---|---|---|---|---|---|---|---|---|---|
55447 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1\phi_1^2$ | 0.8544 | 1.0432 | 0.8191 | [X:[], M:[0.8516], q:[0.7129, 0.7129, 0.5693], qb:[0.5693, 0.5693, 0.5693], phi:[0.5742]] | t^2.55 + 6*t^3.42 + 8*t^3.85 + t^4.28 + t^5.11 + 10*t^5.14 + 6*t^5.97 - 17*t^6. - t^4.72/y - t^4.72*y | detail |