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 |
---|---|---|---|---|---|---|---|---|---|
396 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_1M_4$ | 0.6306 | 0.7937 | 0.7946 | [X:[], M:[1.2171, 1.1085, 0.7829, 0.7829], q:[0.75, 0.4244], qb:[0.3585, 0.4671], phi:[0.5]] | [X:[], M:[[2], [1], [-2], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 | {a: 895529/1420032, c: 1127041/1420032, M1: 157/129, M2: 143/129, M3: 101/129, M4: 101/129, q1: 3/4, q2: 73/172, qb1: 185/516, qb2: 241/516, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_3q_1q_2$, $ M_4q_1q_2$ | $M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$ | 0 | 2*t^2.35 + t^2.48 + t^3. + 2*t^3.33 + t^3.52 + t^3.65 + t^3.85 + t^3.98 + t^4.05 + t^4.17 + t^4.3 + 3*t^4.7 + 2*t^4.83 + t^4.95 + 2*t^5.35 + t^5.48 + 3*t^5.67 + t^5.8 + t^5.87 + t^6.2 + 2*t^6.33 + 2*t^6.4 + t^6.45 + 2*t^6.52 + 4*t^6.65 + t^6.78 + t^6.85 + t^6.98 + 5*t^7.05 + 3*t^7.17 + 3*t^7.3 + t^7.37 + t^7.43 + t^7.57 + t^7.63 + 3*t^7.7 + t^7.83 + t^7.9 + 2*t^7.95 + 4*t^8.02 + t^8.09 + t^8.15 + 2*t^8.22 + 2*t^8.28 - t^8.35 - t^8.48 + t^8.55 + t^8.6 + t^8.67 + 3*t^8.74 + t^8.8 + 2*t^8.87 + t^8.93 - t^4.5/y - t^6.85/y + t^7.17/y + t^7.7/y + t^7.83/y + t^8.15/y + (2*t^8.35)/y + t^8.48/y + (4*t^8.67)/y + (2*t^8.8)/y + (2*t^8.87)/y - t^4.5*y - t^6.85*y + t^7.17*y + t^7.7*y + t^7.83*y + t^8.15*y + 2*t^8.35*y + t^8.48*y + 4*t^8.67*y + 2*t^8.8*y + 2*t^8.87*y | (2*t^2.35)/g1^2 + g1^3*t^2.48 + t^3. + 2*g1*t^3.33 + t^3.52/g1^3 + g1^2*t^3.65 + t^3.85/g1^2 + g1^3*t^3.98 + t^4.05/g1^6 + t^4.17/g1 + g1^4*t^4.3 + (3*t^4.7)/g1^4 + 2*g1*t^4.83 + g1^6*t^4.95 + (2*t^5.35)/g1^2 + g1^3*t^5.48 + (3*t^5.67)/g1 + g1^4*t^5.8 + t^5.87/g1^5 + t^6.2/g1^4 + 2*g1*t^6.33 + (2*t^6.4)/g1^8 + g1^6*t^6.45 + (2*t^6.52)/g1^3 + 4*g1^2*t^6.65 + g1^7*t^6.78 + t^6.85/g1^2 + g1^3*t^6.98 + (5*t^7.05)/g1^6 + (3*t^7.17)/g1 + 3*g1^4*t^7.3 + t^7.37/g1^5 + g1^9*t^7.43 + t^7.57/g1^9 + g1^5*t^7.63 + (3*t^7.7)/g1^4 + g1*t^7.83 + t^7.9/g1^8 + 2*g1^6*t^7.95 + (4*t^8.02)/g1^3 + t^8.09/g1^12 + g1^2*t^8.15 + (2*t^8.22)/g1^7 + 2*g1^7*t^8.28 - t^8.35/g1^2 - g1^3*t^8.48 + t^8.55/g1^6 + g1^8*t^8.6 + t^8.67/g1 + (3*t^8.74)/g1^10 + g1^4*t^8.8 + (2*t^8.87)/g1^5 + g1^9*t^8.93 - t^4.5/y - t^6.85/(g1^2*y) + t^7.17/(g1*y) + t^7.7/(g1^4*y) + (g1*t^7.83)/y + (g1^2*t^8.15)/y + (2*t^8.35)/(g1^2*y) + (g1^3*t^8.48)/y + (4*t^8.67)/(g1*y) + (2*g1^4*t^8.8)/y + (2*t^8.87)/(g1^5*y) - t^4.5*y - (t^6.85*y)/g1^2 + (t^7.17*y)/g1 + (t^7.7*y)/g1^4 + g1*t^7.83*y + g1^2*t^8.15*y + (2*t^8.35*y)/g1^2 + g1^3*t^8.48*y + (4*t^8.67*y)/g1 + 2*g1^4*t^8.8*y + (2*t^8.87*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
639 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6508 | 0.8317 | 0.7826 | [X:[], M:[1.2136, 1.1068, 0.7864, 0.7864, 0.7136], q:[0.75, 0.4297], qb:[0.3568, 0.4636], phi:[0.5]] | t^2.14 + 2*t^2.36 + t^2.46 + t^3. + 2*t^3.32 + t^3.54 + t^3.64 + t^3.96 + t^4.08 + t^4.18 + 2*t^4.28 + 2*t^4.5 + t^4.6 + 3*t^4.72 + 2*t^4.82 + t^4.92 + t^5.14 + 2*t^5.36 + 3*t^5.46 + 4*t^5.68 + 2*t^5.78 + t^5.9 - t^4.5/y - t^4.5*y | detail | |
1834 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_2$ | 0.6483 | 0.8256 | 0.7853 | [X:[], M:[1.2243, 1.1122, 0.7757, 0.7757, 0.7757], q:[0.75, 0.4135], qb:[0.3622, 0.4743], phi:[0.5]] | 3*t^2.33 + t^2.51 + t^3. + 2*t^3.34 + t^3.49 + t^3.83 + t^3.98 + t^4.01 + t^4.16 + t^4.35 + 6*t^4.65 + 3*t^4.84 + t^5.02 + 3*t^5.33 + t^5.51 + 5*t^5.66 + 2*t^5.82 + t^5.85 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
248 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ | 0.6134 | 0.7631 | 0.8038 | [X:[], M:[1.2089, 1.1045, 0.7911], q:[0.75, 0.4366], qb:[0.3545, 0.4589], phi:[0.5]] | t^2.37 + t^2.44 + t^3. + 2*t^3.31 + t^3.56 + 2*t^3.63 + t^3.87 + t^3.94 + t^4.12 + t^4.19 + t^4.25 + t^4.75 + t^4.81 + t^4.88 + t^5.37 + t^5.44 + t^5.69 + t^5.75 - t^4.5/y - t^4.5*y | detail |