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 |
---|---|---|---|---|---|---|---|---|---|
45906 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1^4$ | 0.6988 | 0.8648 | 0.8081 | [X:[], M:[0.9484, 0.9484, 0.9484], q:[0.5258, 0.5258], qb:[0.5258, 0.4226], phi:[0.5]] | [X:[], M:[[0, 1, 1], [1, 0, 1], [-1, -1, 0]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ q_1\tilde{q}_2$, $ M_2$, $ q_2\tilde{q}_2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_3^2$, $ M_3q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_1M_3$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_2M_3$, $ M_3q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_2^2$, $ M_2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | . | -10 | 6*t^2.85 + t^3. + t^4.04 + 3*t^4.35 + 6*t^4.65 + 18*t^5.69 + 6*t^5.85 - 10*t^6. - 3*t^6.31 + 6*t^6.88 + 12*t^7.19 + 18*t^7.5 - 6*t^7.81 + t^8.07 + 3*t^8.38 + 38*t^8.54 + 24*t^8.69 - 48*t^8.85 - t^4.5/y - (3*t^7.35)/y + (3*t^7.65)/y + (15*t^8.69)/y + (6*t^8.85)/y - t^4.5*y - 3*t^7.35*y + 3*t^7.65*y + 15*t^8.69*y + 6*t^8.85*y | (2*t^2.85)/(g1*g2) + 2*g1*g3*t^2.85 + 2*g2*g3*t^2.85 + t^3. + g3^2*t^4.04 + t^4.35/(g1*g2) + g1*g3*t^4.35 + g2*g3*t^4.35 + g1^2*t^4.65 + g1*g2*t^4.65 + g2^2*t^4.65 + t^4.65/(g1^2*g2^2*g3^2) + t^4.65/(g1*g3) + t^4.65/(g2*g3) + (3*t^5.69)/(g1^2*g2^2) + (3*g3*t^5.69)/g1 + (3*g3*t^5.69)/g2 + 3*g1^2*g3^2*t^5.69 + 3*g1*g2*g3^2*t^5.69 + 3*g2^2*g3^2*t^5.69 + (2*t^5.85)/(g1*g2) + 2*g1*g3*t^5.85 + 2*g2*g3*t^5.85 - 4*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 - t^6./(g1*g2^2*g3) - t^6./(g1^2*g2*g3) - g1^2*g2*g3*t^6. - g1*g2^2*g3*t^6. - t^6.31/(g1*g2*g3^2) - (g1*t^6.31)/g3 - (g2*t^6.31)/g3 + (2*g3^2*t^6.88)/(g1*g2) + 2*g1*g3^3*t^6.88 + 2*g2*g3^3*t^6.88 + (2*t^7.19)/(g1^2*g2^2) + (2*g3*t^7.19)/g1 + (2*g3*t^7.19)/g2 + 2*g1^2*g3^2*t^7.19 + 2*g1*g2*g3^2*t^7.19 + 2*g2^2*g3^2*t^7.19 + (2*g1*t^7.5)/g2 + (2*g2*t^7.5)/g1 + (2*t^7.5)/(g1^3*g2^3*g3^2) + (2*t^7.5)/(g1*g2^2*g3) + (2*t^7.5)/(g1^2*g2*g3) + 2*g1^3*g3*t^7.5 + 2*g1^2*g2*g3*t^7.5 + 2*g1*g2^2*g3*t^7.5 + 2*g2^3*g3*t^7.5 - (2*t^7.81)/(g1*g2*g3^2) - (2*g1*t^7.81)/g3 - (2*g2*t^7.81)/g3 + g3^4*t^8.07 + (g3^2*t^8.38)/(g1*g2) + g1*g3^3*t^8.38 + g2*g3^3*t^8.38 + (4*t^8.54)/(g1^3*g2^3) + (4*g3*t^8.54)/(g1*g2^2) + (4*g3*t^8.54)/(g1^2*g2) + 2*g3^2*t^8.54 + (4*g1*g3^2*t^8.54)/g2 + (4*g2*g3^2*t^8.54)/g1 + 4*g1^3*g3^3*t^8.54 + 4*g1^2*g2*g3^3*t^8.54 + 4*g1*g2^2*g3^3*t^8.54 + 4*g2^3*g3^3*t^8.54 + (4*t^8.69)/(g1^2*g2^2) + (4*g3*t^8.69)/g1 + (4*g3*t^8.69)/g2 + 4*g1^2*g3^2*t^8.69 + 4*g1*g2*g3^2*t^8.69 + 4*g2^2*g3^2*t^8.69 - (2*t^8.85)/g1^2 - (2*t^8.85)/g2^2 - (10*t^8.85)/(g1*g2) - (2*t^8.85)/(g1^2*g2^3*g3) - (2*t^8.85)/(g1^3*g2^2*g3) - 10*g1*g3*t^8.85 - (2*g1^2*g3*t^8.85)/g2 - 10*g2*g3*t^8.85 - (2*g2^2*g3*t^8.85)/g1 - 2*g1^3*g2*g3^2*t^8.85 - 2*g1^2*g2^2*g3^2*t^8.85 - 2*g1*g2^3*g3^2*t^8.85 - t^4.5/y - t^7.35/(g1*g2*y) - (g1*g3*t^7.35)/y - (g2*g3*t^7.35)/y + (g1*g2*t^7.65)/y + t^7.65/(g1*g3*y) + t^7.65/(g2*g3*y) + t^8.69/(g1^2*g2^2*y) + (4*g3*t^8.69)/(g1*y) + (4*g3*t^8.69)/(g2*y) + (g1^2*g3^2*t^8.69)/y + (4*g1*g2*g3^2*t^8.69)/y + (g2^2*g3^2*t^8.69)/y + (2*t^8.85)/(g1*g2*y) + (2*g1*g3*t^8.85)/y + (2*g2*g3*t^8.85)/y - t^4.5*y - (t^7.35*y)/(g1*g2) - g1*g3*t^7.35*y - g2*g3*t^7.35*y + g1*g2*t^7.65*y + (t^7.65*y)/(g1*g3) + (t^7.65*y)/(g2*g3) + (t^8.69*y)/(g1^2*g2^2) + (4*g3*t^8.69*y)/g1 + (4*g3*t^8.69*y)/g2 + g1^2*g3^2*t^8.69*y + 4*g1*g2*g3^2*t^8.69*y + g2^2*g3^2*t^8.69*y + (2*t^8.85*y)/(g1*g2) + 2*g1*g3*t^8.85*y + 2*g2*g3*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 |
---|---|---|---|---|---|---|---|---|
45946 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1^4$ + $ \phi_1\tilde{q}_1^2$ | 0.6467 | 0.8193 | 0.7892 | [X:[], M:[1.1186, 0.8093, 0.8093], q:[0.4407, 0.4407], qb:[0.75, 0.3686], phi:[0.5]] | 4*t^2.43 + t^3. + 2*t^3.36 + t^3.71 + 2*t^3.93 + 3*t^4.14 + 10*t^4.86 + 4*t^5.43 + 6*t^5.78 - 5*t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
45849 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ | 0.7576 | 0.9264 | 0.8177 | [X:[], M:[0.7673, 0.7673, 0.7673], q:[0.6164, 0.6164], qb:[0.6164, 0.5482], phi:[0.4007]] | 3*t^2.3 + t^2.4 + 3*t^3.49 + t^4.49 + 6*t^4.6 + 3*t^4.7 + 3*t^4.71 + t^4.81 + 6*t^4.9 + 6*t^5.8 + 3*t^5.9 - 10*t^6. - t^4.2/y - t^4.2*y | detail |