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 |
---|---|---|---|---|---|---|---|---|---|
46304 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ | 0.7125 | 0.866 | 0.8228 | [X:[], M:[0.9101, 1.0, 1.0, 0.9101], q:[0.6348, 0.4551], qb:[0.5449, 0.5449], phi:[0.4551]] | [X:[], M:[[-2, -2], [-1, 1], [1, -1], [-2, -2]], q:[[3, 3], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_1M_2$, $ M_2M_4$, $ M_2\phi_1^2$ | $M_2^2$, $ M_3^2$ | -3 | 3*t^2.73 + 2*t^3. + 2*t^3.54 + t^4.1 + 2*t^4.37 + 4*t^4.63 + 2*t^4.9 + t^5.17 + 5*t^5.46 + 2*t^5.73 - 3*t^6. + 2*t^6.27 + 2*t^6.54 + 2*t^6.83 + 3*t^7.08 + 4*t^7.1 + 9*t^7.37 + 6*t^7.63 + t^7.9 + 4*t^8.17 + 9*t^8.19 + 2*t^8.44 + 2*t^8.46 + 2*t^8.71 - 8*t^8.73 - t^4.37/y - (3*t^7.1)/y + (3*t^7.63)/y + (3*t^8.46)/y + (6*t^8.73)/y - t^4.37*y - 3*t^7.1*y + 3*t^7.63*y + 3*t^8.46*y + 6*t^8.73*y | (3*t^2.73)/(g1^2*g2^2) + (g1*t^3.)/g2 + (g2*t^3.)/g1 + g1^5*g2^3*t^3.54 + g1^3*g2^5*t^3.54 + t^4.1/(g1^3*g2^3) + t^4.37/g1^2 + t^4.37/g2^2 + (g1^3*t^4.63)/g2 + 2*g1*g2*t^4.63 + (g2^3*t^4.63)/g1 + g1^4*g2^2*t^4.9 + g1^2*g2^4*t^4.9 + g1^5*g2^5*t^5.17 + (5*t^5.46)/(g1^4*g2^4) + t^5.73/(g1*g2^3) + t^5.73/(g1^3*g2) - 3*t^6. + g1^3*g2*t^6.27 + g1*g2^3*t^6.27 + g1^6*g2^2*t^6.54 + g1^2*g2^6*t^6.54 + (2*t^6.83)/(g1^5*g2^5) + g1^10*g2^6*t^7.08 + g1^8*g2^8*t^7.08 + g1^6*g2^10*t^7.08 + (2*t^7.1)/(g1^2*g2^4) + (2*t^7.1)/(g1^4*g2^2) + (3*g1*t^7.37)/g2^3 + (3*t^7.37)/(g1*g2) + (3*g2*t^7.37)/g1^3 + 2*g1^2*t^7.63 + (g1^4*t^7.63)/g2^2 + 2*g2^2*t^7.63 + (g2^4*t^7.63)/g1^2 + g1^3*g2^3*t^7.9 + g1^8*g2^2*t^8.17 + g1^6*g2^4*t^8.17 + g1^4*g2^6*t^8.17 + g1^2*g2^8*t^8.17 + (9*t^8.19)/(g1^6*g2^6) + g1^9*g2^5*t^8.44 + g1^5*g2^9*t^8.44 + t^8.46/(g1^3*g2^5) + t^8.46/(g1^5*g2^3) + g1^10*g2^8*t^8.71 + g1^8*g2^10*t^8.71 - (8*t^8.73)/(g1^2*g2^2) - t^4.37/(g1*g2*y) - (3*t^7.1)/(g1^3*g2^3*y) + (3*g1*g2*t^7.63)/y + (3*t^8.46)/(g1^4*g2^4*y) + (3*t^8.73)/(g1*g2^3*y) + (3*t^8.73)/(g1^3*g2*y) - (t^4.37*y)/(g1*g2) - (3*t^7.1*y)/(g1^3*g2^3) + 3*g1*g2*t^7.63*y + (3*t^8.46*y)/(g1^4*g2^4) + (3*t^8.73*y)/(g1*g2^3) + (3*t^8.73*y)/(g1^3*g2) |
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 |
---|---|---|---|---|---|---|---|---|
46619 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ M_5q_1\tilde{q}_1$ | 0.7296 | 0.8971 | 0.8133 | [X:[], M:[0.8907, 0.9842, 1.0158, 0.8907, 0.7657], q:[0.6639, 0.4454], qb:[0.5704, 0.5389], phi:[0.4454]] | t^2.3 + 3*t^2.67 + t^2.95 + t^3.05 + t^3.61 + t^4.01 + t^4.29 + t^4.38 + t^4.57 + t^4.59 + 2*t^4.66 + t^4.76 + t^4.94 + 3*t^4.97 + t^5.04 + t^5.25 + t^5.32 + 6*t^5.34 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail | |
46613 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1q_1\tilde{q}_1$ | 0.6359 | 0.7849 | 0.8102 | [X:[], M:[0.7681, 0.8479, 1.1521, 0.7681], q:[0.8479, 0.384], qb:[0.7681, 0.4639], phi:[0.384]] | 3*t^2.3 + t^2.54 + 2*t^3.46 + t^3.7 + 2*t^3.94 + 6*t^4.61 + 4*t^4.85 + t^5.09 + 4*t^5.76 - t^4.15/y - t^4.15*y | detail | |
46428 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_1^2$ | 0.6393 | 0.7913 | 0.808 | [X:[], M:[0.8612, 0.7847, 1.2153, 0.8612], q:[0.7081, 0.4306], qb:[0.7847, 0.3541], phi:[0.4306]] | t^2.35 + 3*t^2.58 + t^3.19 + t^3.42 + 2*t^3.65 + t^3.88 + 2*t^4.48 + 2*t^4.71 + 2*t^4.94 + 5*t^5.17 + 2*t^5.54 + 3*t^5.77 + t^6. - t^4.29/y - t^4.29*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 |
---|---|---|---|---|---|---|---|---|---|
46056 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ | 0.7737 | 0.9544 | 0.8107 | [X:[], M:[0.7809, 0.7498, 0.7498, 0.7809], q:[0.5785, 0.6406], qb:[0.6095, 0.6095], phi:[0.3905]] | 2*t^2.25 + 3*t^2.34 + 2*t^3.56 + 3*t^4.5 + 6*t^4.59 + t^4.64 + 6*t^4.69 + 2*t^4.74 + 4*t^4.83 + 2*t^4.92 + t^5.02 + 3*t^5.81 + 2*t^5.91 - 6*t^6. - t^4.17/y - t^4.17*y | detail |