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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55790 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ \tilde{q}_2^2\tilde{q}_3^2$ + $ M_1q_1\tilde{q}_2$ | 0.8165 | 0.99 | 0.8247 | [X:[], M:[0.7239], q:[0.7674, 0.7326, 0.75], qb:[0.75, 0.5087, 0.4913], phi:[0.5]] | [X:[], M:[[1, 0, 1]], q:[[-1, 0, 0], [1, 0, 0], [0, -1, 0]], qb:[[0, 1, 0], [0, 0, -1], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_1$, $ \phi_1^2$, $ \tilde{q}_2\tilde{q}_3$, $ q_2\tilde{q}_3$, $ q_2\tilde{q}_2$, $ q_3\tilde{q}_3$, $ q_3\tilde{q}_2$, $ q_1\tilde{q}_3$, $ M_1^2$, $ q_2q_3$, $ \phi_1\tilde{q}_3^2$, $ q_1q_2$, $ q_3\tilde{q}_1$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ q_1q_3$, $ \phi_1\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_1\tilde{q}_2\tilde{q}_3$, $ M_1q_2\tilde{q}_3$, $ M_1q_2\tilde{q}_2$, $ M_1q_3\tilde{q}_3$ | $\phi_1^4$, $ \phi_1^2\tilde{q}_2\tilde{q}_3$ | -1 | t^2.17 + 2*t^3. + t^3.67 + 3*t^3.72 + 3*t^3.78 + t^4.34 + 3*t^4.45 + 3*t^4.5 + 3*t^4.55 + 2*t^5.17 + t^5.84 + 3*t^5.9 - t^6. - 3*t^6.05 + t^6.51 + 3*t^6.62 + 3*t^6.67 + 3*t^6.72 - 2*t^6.83 + 3*t^7.34 + 3*t^7.4 + 9*t^7.45 + 9*t^7.5 + 6*t^7.55 + t^8.01 + 3*t^8.07 + 3*t^8.12 + 8*t^8.17 + 9*t^8.22 + 9*t^8.28 + 6*t^8.33 + t^8.69 + 3*t^8.79 + 3*t^8.84 + 6*t^8.9 - t^4.5/y - t^6.67/y + (2*t^8.17)/y + t^8.33/y + (3*t^8.9)/y + (3*t^8.95)/y - t^4.5*y - t^6.67*y + 2*t^8.17*y + t^8.33*y + 3*t^8.9*y + 3*t^8.95*y | g1*g3*t^2.17 + 2*t^3. + g1*g3*t^3.67 + (g1*t^3.72)/g3 + (g3*t^3.72)/g2 + g2*g3*t^3.72 + t^3.78/(g2*g3) + (g2*t^3.78)/g3 + (g3*t^3.78)/g1 + g1^2*g3^2*t^4.34 + (g1*t^4.45)/g2 + g1*g2*t^4.45 + g3^2*t^4.45 + 3*t^4.5 + t^4.55/(g1*g2) + (g2*t^4.55)/g1 + t^4.55/g3^2 + 2*g1*g3*t^5.17 + g1^2*g3^2*t^5.84 + g1^2*t^5.9 + (g1*g3^2*t^5.9)/g2 + g1*g2*g3^2*t^5.9 - t^6. - t^6.05/(g1*g2) - (g2*t^6.05)/g1 - t^6.05/g3^2 + g1^3*g3^3*t^6.51 + (g1^2*g3*t^6.62)/g2 + g1^2*g2*g3*t^6.62 + g1*g3^3*t^6.62 + 3*g1*g3*t^6.67 + (g1*t^6.72)/g3 + (g3*t^6.72)/g2 + g2*g3*t^6.72 - (2*t^6.83)/(g1*g3) + 3*g1^2*g3^2*t^7.34 + g1^2*t^7.4 + (g1*g3^2*t^7.4)/g2 + g1*g2*g3^2*t^7.4 + (2*g1*t^7.45)/g2 + 2*g1*g2*t^7.45 + (g1^2*t^7.45)/g3^2 + 2*g3^2*t^7.45 + (g3^2*t^7.45)/g2^2 + g2^2*g3^2*t^7.45 + 3*t^7.5 + t^7.5/g2^2 + g2^2*t^7.5 + (g1*t^7.5)/(g2*g3^2) + (g1*g2*t^7.5)/g3^2 + (g3^2*t^7.5)/(g1*g2) + (g2*g3^2*t^7.5)/g1 + t^7.55/(g1*g2) + (g2*t^7.55)/g1 + t^7.55/g3^2 + t^7.55/(g2^2*g3^2) + (g2^2*t^7.55)/g3^2 + (g3^2*t^7.55)/g1^2 + g1^3*g3^3*t^8.01 + g1^3*g3*t^8.07 + (g1^2*g3^3*t^8.07)/g2 + g1^2*g2*g3^3*t^8.07 + (g1^2*g3*t^8.12)/g2 + g1^2*g2*g3*t^8.12 + g1*g3^3*t^8.12 + (g1^2*t^8.17)/(g2*g3) + (g1^2*g2*t^8.17)/g3 + 2*g1*g3*t^8.17 + (g1*g3*t^8.17)/g2^2 + g1*g2^2*g3*t^8.17 + (g3^3*t^8.17)/g2 + g2*g3^3*t^8.17 + (2*g1*t^8.22)/g3 + (g1*t^8.22)/(g2^2*g3) + (g1*g2^2*t^8.22)/g3 + (2*g3*t^8.22)/g2 + 2*g2*g3*t^8.22 + (g3^3*t^8.22)/g1 + (g1*t^8.28)/g3^3 + (2*t^8.28)/(g2*g3) + (2*g2*t^8.28)/g3 + (2*g3*t^8.28)/g1 + (g3*t^8.28)/(g1*g2^2) + (g2^2*g3*t^8.28)/g1 + t^8.33/(g2*g3^3) + (g2*t^8.33)/g3^3 + t^8.33/(g1*g2^2*g3) + (g2^2*t^8.33)/(g1*g3) + (g3*t^8.33)/(g1^2*g2) + (g2*g3*t^8.33)/g1^2 + g1^4*g3^4*t^8.69 + (g1^3*g3^2*t^8.79)/g2 + g1^3*g2*g3^2*t^8.79 + g1^2*g3^4*t^8.79 + 3*g1^2*g3^2*t^8.84 + g1^2*t^8.9 + (g1^2*t^8.9)/g2^2 + g1^2*g2^2*t^8.9 + (g1*g3^2*t^8.9)/g2 + g1*g2*g3^2*t^8.9 + g3^4*t^8.9 - t^4.5/y - (g1*g3*t^6.67)/y + (2*g1*g3*t^8.17)/y + t^8.33/(g1*g3*y) + (g1^2*t^8.9)/y + (g1*g3^2*t^8.9)/(g2*y) + (g1*g2*g3^2*t^8.9)/y + (g1*t^8.95)/(g2*y) + (g1*g2*t^8.95)/y + (g3^2*t^8.95)/y - t^4.5*y - g1*g3*t^6.67*y + 2*g1*g3*t^8.17*y + (t^8.33*y)/(g1*g3) + g1^2*t^8.9*y + (g1*g3^2*t^8.9*y)/g2 + g1*g2*g3^2*t^8.9*y + (g1*t^8.95*y)/g2 + g1*g2*t^8.95*y + g3^2*t^8.95*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 |
---|---|---|---|---|---|---|---|---|---|
55593 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ \tilde{q}_2^2\tilde{q}_3^2$ | 0.7969 | 0.9531 | 0.8361 | [X:[], M:[], q:[0.75, 0.75, 0.75], qb:[0.75, 0.5, 0.5], phi:[0.5]] | 2*t^3. + 8*t^3.75 + 9*t^4.5 - 7*t^6. - t^4.5/y - t^4.5*y | detail | {a: 51/64, c: 61/64, q1: 3/4, q2: 3/4, q3: 3/4, qb1: 3/4, qb2: 1/2, qb3: 1/2, phi1: 1/2} |