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 |
|---|---|---|---|---|---|---|---|---|---|
| 118 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ | 0.5344 | 0.6715 | 0.7957 | [X:[], M:[1.0, 1.0], q:[0.5973, 0.9638], qb:[0.4027, 0.2805], phi:[0.4389]] | [X:[], M:[[-1, 5], [1, -5]], q:[[-2, -5], [3, 6]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_2$, $ M_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ q_1^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_2q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1^3\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$ | $M_1^2$, $ M_2^2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | 1 | t^2.05 + 2*t^2.63 + 2*t^3. + t^3.37 + 2*t^3.73 + 2*t^4.1 + 3*t^4.68 + 2*t^5.05 + 2*t^5.27 + t^5.42 + 2*t^5.63 + 2*t^5.78 + t^6. + 2*t^6.15 + 2*t^6.37 - t^6.58 + 6*t^6.73 - 2*t^6.95 + 4*t^7.1 + t^7.32 + 4*t^7.47 + 4*t^7.83 + 2*t^7.9 - t^8.05 + 3*t^8.2 + 2*t^8.42 - 2*t^8.63 + 6*t^8.78 - t^4.32/y - t^6.95/y + (3*t^7.68)/y + (2*t^8.05)/y + t^8.27/y + t^8.42/y + (4*t^8.63)/y + (2*t^8.78)/y - t^4.32*y - t^6.95*y + 3*t^7.68*y + 2*t^8.05*y + t^8.27*y + t^8.42*y + 4*t^8.63*y + 2*t^8.78*y | g1^3*g2^3*t^2.05 + (2*t^2.63)/(g1^2*g2^2) + (g1*t^3.)/g2^5 + (g2^5*t^3.)/g1 + g1^2*g2^2*t^3.37 + (g1^5*t^3.73)/g2 + g1^3*g2^9*t^3.73 + 2*g1^6*g2^6*t^4.1 + 3*g1*g2*t^4.68 + (g1^4*t^5.05)/g2^2 + g1^2*g2^8*t^5.05 + (2*t^5.27)/(g1^4*g2^4) + g1^5*g2^5*t^5.42 + t^5.63/(g1*g2^7) + (g2^3*t^5.63)/g1^3 + g1^8*g2^2*t^5.78 + g1^6*g2^12*t^5.78 - t^6. + (g1^2*t^6.)/g2^10 + (g2^10*t^6.)/g1^2 + 2*g1^9*g2^9*t^6.15 + (g1^3*t^6.37)/g2^3 + g1*g2^7*t^6.37 - t^6.58/(g1^5*g2^5) + (g1^6*t^6.73)/g2^6 + 4*g1^4*g2^4*t^6.73 + g1^2*g2^14*t^6.73 - t^6.95/(g1^2*g2^8) - (g2^2*t^6.95)/g1^4 + 2*g1^7*g2*t^7.1 + 2*g1^5*g2^11*t^7.1 + t^7.32/(g1*g2) + (g1^10*t^7.47)/g2^2 + 2*g1^8*g2^8*t^7.47 + g1^6*g2^18*t^7.47 + 2*g1^11*g2^5*t^7.83 + 2*g1^9*g2^15*t^7.83 + (2*t^7.9)/(g1^6*g2^6) + (g1^5*t^8.05)/g2^7 - 3*g1^3*g2^3*t^8.05 + g1*g2^13*t^8.05 + 3*g1^12*g2^12*t^8.2 + g1^6*t^8.42 + g1^4*g2^10*t^8.42 + t^8.63/g2^12 - (4*t^8.63)/(g1^2*g2^2) + (g2^8*t^8.63)/g1^4 + (g1^9*t^8.78)/g2^3 + 4*g1^7*g2^7*t^8.78 + g1^5*g2^17*t^8.78 - t^4.32/(g1*g2*y) - t^6.95/(g1^3*g2^3*y) + (3*g1*g2*t^7.68)/y + (g1^4*t^8.05)/(g2^2*y) + (g1^2*g2^8*t^8.05)/y + t^8.27/(g1^4*g2^4*y) + (g1^5*g2^5*t^8.42)/y + (2*t^8.63)/(g1*g2^7*y) + (2*g2^3*t^8.63)/(g1^3*y) + (g1^8*g2^2*t^8.78)/y + (g1^6*g2^12*t^8.78)/y - (t^4.32*y)/(g1*g2) - (t^6.95*y)/(g1^3*g2^3) + 3*g1*g2*t^7.68*y + (g1^4*t^8.05*y)/g2^2 + g1^2*g2^8*t^8.05*y + (t^8.27*y)/(g1^4*g2^4) + g1^5*g2^5*t^8.42*y + (2*t^8.63*y)/(g1*g2^7) + (2*g2^3*t^8.63*y)/g1^3 + g1^8*g2^2*t^8.78*y + g1^6*g2^12*t^8.78*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 |
|---|---|---|---|---|---|---|---|---|
| 186 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ | 0.489 | 0.6143 | 0.7961 | [X:[], M:[1.2024, 0.7976], q:[0.4008, 1.1984], qb:[0.3967, 0.4008], phi:[0.4008]] | 2*t^2.39 + 2*t^2.4 + t^3.58 + t^3.6 + t^3.61 + 4*t^4.79 + 5*t^4.8 + 2*t^4.81 + 2*t^5.98 + 2*t^5.99 - t^6. - t^4.2/y - t^4.2*y | detail | |
| 187 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5458 | 0.6894 | 0.7916 | [X:[], M:[1.0, 1.0, 0.8656], q:[0.582, 0.9852], qb:[0.418, 0.2836], phi:[0.4328]] | t^2.1 + 3*t^2.6 + 2*t^3. + 2*t^3.81 + 2*t^4.21 + 4*t^4.7 + 2*t^5.1 + 5*t^5.19 + 4*t^5.6 + 2*t^5.91 - t^6. - t^4.3/y - t^4.3*y | detail | |
| 189 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.5539 | 0.7073 | 0.7832 | [X:[], M:[0.9813, 1.0187, 0.7198], q:[0.5959, 0.9694], qb:[0.4228, 0.2733], phi:[0.4346]] | t^2.09 + t^2.16 + 2*t^2.61 + t^2.94 + t^3.06 + t^3.39 + t^3.73 + 2*t^4.18 + t^4.25 + t^4.32 + 3*t^4.7 + 2*t^4.77 + t^5.03 + t^5.1 + t^5.14 + 3*t^5.22 + t^5.48 + 2*t^5.55 + t^5.66 + t^5.82 + 2*t^5.89 - t^6. - t^4.3/y - t^4.3*y | detail | |
| 188 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | 0.516 | 0.641 | 0.805 | [X:[], M:[1.0, 1.0], q:[0.5, 1.1], qb:[0.5, 0.3], phi:[0.4]] | 3*t^2.4 + 2*t^3. + t^3.6 + 2*t^4.2 + 7*t^4.8 + 4*t^5.4 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 129/250, c: 641/1000, M1: 1, M2: 1, q1: 1/2, q2: 11/10, qb1: 1/2, qb2: 3/10, phi1: 2/5} |
| 185 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ | 0.5333 | 0.6681 | 0.7983 | [X:[], M:[0.981, 1.019], q:[0.5878, 0.981], qb:[0.4313, 0.2748], phi:[0.4313]] | t^2.12 + 2*t^2.59 + t^2.94 + t^3.06 + t^3.41 + t^3.77 + t^3.88 + 2*t^4.24 + 3*t^4.71 + t^5.06 + 3*t^5.18 + 2*t^5.53 + t^5.64 + 2*t^5.89 - 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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 76 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ | 0.6485 | 0.7967 | 0.8141 | [X:[], M:[0.696, 0.696], q:[0.837, 0.8106], qb:[0.467, 0.4758], phi:[0.3524]] | 2*t^2.09 + t^2.11 + t^2.83 + t^3.83 + 2*t^3.86 + t^3.89 + t^3.94 + 3*t^4.18 + 2*t^4.2 + t^4.23 + 2*t^4.92 + 2*t^4.94 + t^5.66 + 2*t^5.92 + 4*t^5.95 + 2*t^5.97 - 2*t^6. - t^4.06/y - t^4.06*y | detail |