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 |
|---|---|---|---|---|---|---|---|---|---|
| 55673 | SU2adj1nf3 | $M_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_3$ | 0.8165 | 0.99 | 0.8247 | [X:[], M:[0.7241], q:[0.7674, 0.5085, 0.7499], qb:[0.7499, 0.491, 0.7324], phi:[0.5003]] | [X:[], M:[[-3, -3, 1, 1]], q:[[1, 1, 0, -1], [2, 2, -1, 0], [1, 0, 0, 0]], qb:[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], phi:[[-1, -1, 0, 0]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_2\tilde{q}_3$, $ q_3\tilde{q}_2$, $ q_2\tilde{q}_3$, $ q_2q_3$, $ q_1\tilde{q}_2$, $ M_1^2$, $ \phi_1\tilde{q}_2^2$, $ q_3\tilde{q}_3$, $ q_3\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_3$, $ \phi_1q_2^2$, $ q_1q_3$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ M_1\tilde{q}_2\tilde{q}_3$, $ M_1q_3\tilde{q}_2$, $ \phi_1\tilde{q}_3^2$ | $\phi_1^4$, $ \phi_1^2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$ | -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^6.52 + 3*t^6.62 + 3*t^6.67 + 3*t^6.72 + 3*t^6.77 - 3*t^6.78 - 2*t^6.83 + 2*t^7.34 + t^7.35 + 3*t^7.39 + 9*t^7.45 + 9*t^7.5 + 6*t^7.55 + t^8.01 + 3*t^8.07 + 3*t^8.12 + 7*t^8.17 + t^8.18 + 9*t^8.22 + 9*t^8.27 + 6*t^8.33 + t^8.69 + 3*t^8.79 + 3*t^8.84 + 6*t^8.89 - t^4.5/y - t^6.67/y + (2*t^8.17)/y + t^8.33/y + t^8.84/y - t^8.85/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 + t^8.84*y - t^8.85*y + 3*t^8.9*y + 3*t^8.95*y | (g3*g4*t^2.17)/(g1^3*g2^3) + t^3./(g1^2*g2^2) + g1^2*g2^2*t^3. + g3*g4*t^3.67 + g1*g3*t^3.72 + g2*g3*t^3.72 + (g1^2*g2^2*g4*t^3.72)/g3 + (g1^3*g2^2*t^3.78)/g3 + (g1^2*g2^3*t^3.78)/g3 + (g1*g2*g3*t^3.78)/g4 + (g3^2*g4^2*t^4.34)/(g1^6*g2^6) + (g3^2*t^4.45)/(g1*g2) + g1*g4*t^4.45 + g2*g4*t^4.45 + 3*g1*g2*t^4.5 + (g1^3*g2^3*t^4.55)/g3^2 + (g1^2*g2*t^4.55)/g4 + (g1*g2^2*t^4.55)/g4 + (g3*g4*t^5.17)/(g1^5*g2^5) + (g3*g4*t^5.17)/(g1*g2) + (g3^2*g4^2*t^5.84)/(g1^3*g2^3) + (g3^2*g4*t^5.9)/(g1^2*g2^3) + (g3^2*g4*t^5.9)/(g1^3*g2^2) + (g4^2*t^5.9)/(g1*g2) - 3*t^6. + t^6./(g1^4*g2^4) + g1^4*g2^4*t^6. - (g1^2*g2^2*t^6.05)/g3^2 - (g1*t^6.05)/g4 - (g2*t^6.05)/g4 + (g3^3*g4^3*t^6.52)/(g1^9*g2^9) + (g3^3*g4*t^6.62)/(g1^4*g2^4) + (g3*g4^2*t^6.62)/(g1^2*g2^3) + (g3*g4^2*t^6.62)/(g1^3*g2^2) + (2*g3*g4*t^6.67)/(g1^2*g2^2) + g1^2*g2^2*g3*g4*t^6.67 + g1^3*g2^2*g3*t^6.72 + g1^2*g2^3*g3*t^6.72 + (g1^4*g2^4*g4*t^6.72)/g3 + (g1^5*g2^4*t^6.77)/g3 + (g1^4*g2^5*t^6.77)/g3 + (g1^3*g2^3*g3*t^6.77)/g4 - (g1*t^6.78)/g3 - (g2*t^6.78)/g3 - (g3*t^6.78)/(g1*g2*g4) - (2*g1*g2*t^6.83)/(g3*g4) + g3^2*g4^2*t^7.34 + (g3^2*g4^2*t^7.34)/(g1^4*g2^4) + (g3^2*g4^2*t^7.35)/(g1^8*g2^8) + g1*g3^2*g4*t^7.39 + g2*g3^2*g4*t^7.39 + g1^2*g2^2*g4^2*t^7.39 + g1^2*g3^2*t^7.45 + 2*g1*g2*g3^2*t^7.45 + g2^2*g3^2*t^7.45 + 2*g1^3*g2^2*g4*t^7.45 + 2*g1^2*g2^3*g4*t^7.45 + (g1^4*g2^4*g4^2*t^7.45)/g3^2 + g1^4*g2^2*t^7.5 + 3*g1^3*g2^3*t^7.5 + g1^2*g2^4*t^7.5 + (g1^2*g2*g3^2*t^7.5)/g4 + (g1*g2^2*g3^2*t^7.5)/g4 + (g1^5*g2^4*g4*t^7.5)/g3^2 + (g1^4*g2^5*g4*t^7.5)/g3^2 + (g1^6*g2^4*t^7.55)/g3^2 + (g1^5*g2^5*t^7.55)/g3^2 + (g1^4*g2^6*t^7.55)/g3^2 + (g1^2*g2^2*g3^2*t^7.55)/g4^2 + (g1^4*g2^3*t^7.55)/g4 + (g1^3*g2^4*t^7.55)/g4 + (g3^3*g4^3*t^8.01)/(g1^6*g2^6) + (g3^3*g4^2*t^8.07)/(g1^5*g2^6) + (g3^3*g4^2*t^8.07)/(g1^6*g2^5) + (g3*g4^3*t^8.07)/(g1^4*g2^4) + (g3^3*g4*t^8.12)/(g1*g2) + g1*g3*g4^2*t^8.12 + g2*g3*g4^2*t^8.12 + (g3^3*t^8.17)/g1 + (g3^3*t^8.17)/g2 + g1^2*g3*g4*t^8.17 - (3*g3*g4*t^8.17)/(g1^3*g2^3) + 4*g1*g2*g3*g4*t^8.17 + g2^2*g3*g4*t^8.17 + (g1^3*g2^2*g4^2*t^8.17)/g3 + (g1^2*g2^3*g4^2*t^8.17)/g3 + (g3*g4*t^8.18)/(g1^7*g2^7) - (g3*t^8.22)/(g1^2*g2^3) - (g3*t^8.22)/(g1^3*g2^2) + 3*g1^2*g2*g3*t^8.22 + 3*g1*g2^2*g3*t^8.22 + (g3^3*t^8.22)/g4 - (g4*t^8.22)/(g1*g2*g3) + (g1^4*g2^2*g4*t^8.22)/g3 + (3*g1^3*g2^3*g4*t^8.22)/g3 + (g1^2*g2^4*g4*t^8.22)/g3 + (2*g1^4*g2^3*t^8.27)/g3 + (2*g1^3*g2^4*t^8.27)/g3 + (g1^3*g2*g3*t^8.27)/g4 + (2*g1^2*g2^2*g3*t^8.27)/g4 + (g1*g2^3*g3*t^8.27)/g4 + (g1^5*g2^5*g4*t^8.27)/g3^3 + (g1^6*g2^5*t^8.33)/g3^3 + (g1^5*g2^6*t^8.33)/g3^3 + (g1^3*g2^2*g3*t^8.33)/g4^2 + (g1^2*g2^3*g3*t^8.33)/g4^2 + (g1^5*g2^3*t^8.33)/(g3*g4) + (g1^3*g2^5*t^8.33)/(g3*g4) + (g3^4*g4^4*t^8.69)/(g1^12*g2^12) + (g3^4*g4^2*t^8.79)/(g1^7*g2^7) + (g3^2*g4^3*t^8.79)/(g1^5*g2^6) + (g3^2*g4^3*t^8.79)/(g1^6*g2^5) + (2*g3^2*g4^2*t^8.84)/(g1^5*g2^5) + (g3^2*g4^2*t^8.84)/(g1*g2) + (g3^4*t^8.89)/(g1^2*g2^2) + (g3^2*g4*t^8.89)/g1 + (g3^2*g4*t^8.89)/g2 + g1^2*g4^2*t^8.89 + g1*g2*g4^2*t^8.89 + g2^2*g4^2*t^8.89 + g3^2*t^8.95 - (g3^2*t^8.95)/(g1^4*g2^4) - (g4*t^8.95)/(g1^2*g2^3) - (g4*t^8.95)/(g1^3*g2^2) + g1^2*g2*g4*t^8.95 + g1*g2^2*g4*t^8.95 - t^4.5/(g1*g2*y) - (g3*g4*t^6.67)/(g1^4*g2^4*y) - t^7.5/(g1^3*g2^3*y) + (g1*g2*t^7.5)/y + (g3*g4*t^8.17)/(g1^5*g2^5*y) + (g3*g4*t^8.17)/(g1*g2*y) + (g1^2*g2^2*t^8.33)/(g3*g4*y) + (g3^2*g4^2*t^8.84)/(g1^3*g2^3*y) - (g3^2*g4^2*t^8.85)/(g1^7*g2^7*y) + (g3^2*g4*t^8.9)/(g1^2*g2^3*y) + (g3^2*g4*t^8.9)/(g1^3*g2^2*y) + (g4^2*t^8.9)/(g1*g2*y) + (g3^2*t^8.95)/(g1^2*g2^2*y) + (g4*t^8.95)/(g1*y) + (g4*t^8.95)/(g2*y) - (t^4.5*y)/(g1*g2) - (g3*g4*t^6.67*y)/(g1^4*g2^4) - (t^7.5*y)/(g1^3*g2^3) + g1*g2*t^7.5*y + (g3*g4*t^8.17*y)/(g1^5*g2^5) + (g3*g4*t^8.17*y)/(g1*g2) + (g1^2*g2^2*t^8.33*y)/(g3*g4) + (g3^2*g4^2*t^8.84*y)/(g1^3*g2^3) - (g3^2*g4^2*t^8.85*y)/(g1^7*g2^7) + (g3^2*g4*t^8.9*y)/(g1^2*g2^3) + (g3^2*g4*t^8.9*y)/(g1^3*g2^2) + (g4^2*t^8.9*y)/(g1*g2) + (g3^2*t^8.95*y)/(g1^2*g2^2) + (g4*t^8.95*y)/g1 + (g4*t^8.95*y)/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 |
|---|---|---|---|---|---|---|---|---|
| 55799 | $M_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_3$ + $ M_2q_2q_3$ | 0.8363 | 1.027 | 0.8144 | [X:[], M:[0.714, 0.714], q:[0.7669, 0.5191, 0.7669], qb:[0.7373, 0.4895, 0.7373], phi:[0.4957]] | 2*t^2.14 + t^2.97 + t^3.03 + 2*t^3.68 + 4*t^3.77 + 3*t^4.28 + 2*t^4.42 + 5*t^4.51 + 2*t^4.6 + 2*t^5.12 + 2*t^5.17 + 4*t^5.82 + 6*t^5.91 + t^5.95 - 5*t^6. - t^4.49/y - t^4.49*y | detail | |
| 55737 | $M_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_3$ + $ M_2q_3\tilde{q}_2$ | 0.8359 | 1.0248 | 0.8157 | [X:[], M:[0.7233, 0.7233], q:[0.7706, 0.5062, 0.7706], qb:[0.7356, 0.5062, 0.7356], phi:[0.4938]] | 2*t^2.17 + t^2.96 + t^3.04 + 4*t^3.73 + 2*t^3.83 + 3*t^4.34 + t^4.41 + 7*t^4.52 + t^4.62 + 2*t^5.13 + 2*t^5.21 + 7*t^5.9 + t^5.93 - 3*t^6. - t^4.48/y - t^4.48*y | detail | |
| 55777 | $M_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_3$ + $ M_2\tilde{q}_2\tilde{q}_3$ | 0.8353 | 1.0217 | 0.8176 | [X:[], M:[0.7368, 0.7368], q:[0.7544, 0.5088, 0.7544], qb:[0.7544, 0.5088, 0.7544], phi:[0.4912]] | 2*t^2.21 + t^2.95 + t^3.05 + 6*t^3.79 + 3*t^4.42 + 9*t^4.53 + 2*t^5.16 + 2*t^5.26 + t^5.89 + 3*t^6. - t^4.47/y - t^4.47*y | detail | {a: 7237/8664, c: 2213/2166, M1: 14/19, M2: 14/19, q1: 43/57, q2: 29/57, q3: 43/57, qb1: 43/57, qb2: 29/57, qb3: 43/57, phi1: 28/57} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55451 | SU2adj1nf3 | $M_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ | 0.8602 | 1.0422 | 0.8254 | [X:[], M:[0.7683], q:[0.6158, 0.6158, 0.732], qb:[0.732, 0.5801, 0.5801], phi:[0.536]] | t^2.3 + t^3.22 + t^3.48 + 4*t^3.59 + 4*t^3.94 + 4*t^4.04 + t^4.39 + t^4.61 + 3*t^5.09 + 4*t^5.2 + 3*t^5.3 + t^5.52 + t^5.79 - 9*t^6. - t^4.61/y - t^4.61*y | detail |