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 |
|---|---|---|---|---|---|---|---|---|---|
| 4375 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6168 | 0.7933 | 0.7775 | [X:[], M:[0.8242, 1.1429, 0.8901, 0.7143, 1.0, 1.2857, 0.7143, 0.7472], q:[0.8736, 0.3022], qb:[0.4121, 0.6978], phi:[0.4286]] | [X:[], M:[[2], [0], [-2], [0], [0], [0], [0], [-2]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_8$, $ M_1$, $ M_3$, $ M_5$, $ \phi_1q_2^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_8$, $ M_7M_8$, $ M_8^2$, $ M_1M_4$, $ M_1M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_8$, $ q_1\tilde{q}_2$, $ M_3M_4$, $ M_3M_7$, $ \phi_1q_1q_2$, $ M_3M_8$, $ M_1^2$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_5M_8$, $ M_4\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ M_3^2$, $ M_8\phi_1q_2^2$, $ M_1M_5$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_2M_7$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_3M_5$, $ M_2M_8$, $ M_8\phi_1q_2\tilde{q}_1$, $ M_3\phi_1q_2^2$, $ M_1M_2$ | . | -2 | 2*t^2.14 + t^2.24 + t^2.47 + t^2.67 + t^3. + t^3.1 + 2*t^3.43 + 3*t^4.29 + 2*t^4.38 + t^4.48 + 2*t^4.62 + 2*t^4.71 + 2*t^4.81 + t^4.91 + t^4.95 + 3*t^5.14 + 3*t^5.24 + 2*t^5.34 + t^5.47 + 4*t^5.57 + 2*t^5.67 + t^5.77 + t^5.9 - 2*t^6. + 2*t^6.1 + t^6.2 - t^6.33 + 4*t^6.43 + 4*t^6.53 + 2*t^6.63 + t^6.72 + 2*t^6.76 + 3*t^6.86 + 3*t^6.96 + 2*t^7.05 + 2*t^7.09 + t^7.15 + 2*t^7.29 + 6*t^7.38 + t^7.42 + 5*t^7.48 + 2*t^7.58 + 2*t^7.62 + 6*t^7.71 + 5*t^7.81 + 4*t^7.91 + t^7.95 + 2*t^8.01 + t^8.04 - 3*t^8.14 + t^8.24 + 4*t^8.34 + t^8.37 + 2*t^8.44 - 5*t^8.47 + 4*t^8.57 + 3*t^8.67 + 5*t^8.77 - t^8.8 + 3*t^8.87 + t^8.9 + t^8.97 - t^4.29/y - t^6.43/y - t^6.53/y - t^6.76/y - t^6.96/y + t^7.29/y + (2*t^7.38)/y + (3*t^7.62)/y + t^7.71/y + (3*t^7.81)/y + t^7.91/y + t^8.04/y + (4*t^8.14)/y + (3*t^8.24)/y + t^8.34/y + t^8.47/y + (4*t^8.57)/y + (2*t^8.67)/y + t^8.9/y - t^4.29*y - t^6.43*y - t^6.53*y - t^6.76*y - t^6.96*y + t^7.29*y + 2*t^7.38*y + 3*t^7.62*y + t^7.71*y + 3*t^7.81*y + t^7.91*y + t^8.04*y + 4*t^8.14*y + 3*t^8.24*y + t^8.34*y + t^8.47*y + 4*t^8.57*y + 2*t^8.67*y + t^8.9*y | 2*t^2.14 + t^2.24/g1^2 + g1^2*t^2.47 + t^2.67/g1^2 + t^3. + t^3.1/g1^2 + 2*t^3.43 + 3*t^4.29 + (2*t^4.38)/g1^2 + t^4.48/g1^4 + 2*g1^2*t^4.62 + 2*t^4.71 + (2*t^4.81)/g1^2 + t^4.91/g1^4 + g1^4*t^4.95 + 3*t^5.14 + (3*t^5.24)/g1^2 + (2*t^5.34)/g1^4 + g1^2*t^5.47 + 4*t^5.57 + (2*t^5.67)/g1^2 + t^5.77/g1^4 + g1^2*t^5.9 - 2*t^6. + (2*t^6.1)/g1^2 + t^6.2/g1^4 - g1^2*t^6.33 + 4*t^6.43 + (4*t^6.53)/g1^2 + (2*t^6.63)/g1^4 + t^6.72/g1^6 + 2*g1^2*t^6.76 + 3*t^6.86 + (3*t^6.96)/g1^2 + (2*t^7.05)/g1^4 + 2*g1^4*t^7.09 + t^7.15/g1^6 + 2*t^7.29 + (6*t^7.38)/g1^2 + g1^6*t^7.42 + (5*t^7.48)/g1^4 + (2*t^7.58)/g1^6 + 2*g1^2*t^7.62 + 6*t^7.71 + (5*t^7.81)/g1^2 + (4*t^7.91)/g1^4 + g1^4*t^7.95 + (2*t^8.01)/g1^6 + g1^2*t^8.04 - 3*t^8.14 + t^8.24/g1^2 + (4*t^8.34)/g1^4 + g1^4*t^8.37 + (2*t^8.44)/g1^6 - 5*g1^2*t^8.47 + 4*t^8.57 + (3*t^8.67)/g1^2 + (5*t^8.77)/g1^4 - g1^4*t^8.8 + (3*t^8.87)/g1^6 + g1^2*t^8.9 + t^8.97/g1^8 - t^4.29/y - t^6.43/y - t^6.53/(g1^2*y) - (g1^2*t^6.76)/y - t^6.96/(g1^2*y) + t^7.29/y + (2*t^7.38)/(g1^2*y) + (3*g1^2*t^7.62)/y + t^7.71/y + (3*t^7.81)/(g1^2*y) + t^7.91/(g1^4*y) + (g1^2*t^8.04)/y + (4*t^8.14)/y + (3*t^8.24)/(g1^2*y) + t^8.34/(g1^4*y) + (g1^2*t^8.47)/y + (4*t^8.57)/y + (2*t^8.67)/(g1^2*y) + (g1^2*t^8.9)/y - t^4.29*y - t^6.43*y - (t^6.53*y)/g1^2 - g1^2*t^6.76*y - (t^6.96*y)/g1^2 + t^7.29*y + (2*t^7.38*y)/g1^2 + 3*g1^2*t^7.62*y + t^7.71*y + (3*t^7.81*y)/g1^2 + (t^7.91*y)/g1^4 + g1^2*t^8.04*y + 4*t^8.14*y + (3*t^8.24*y)/g1^2 + (t^8.34*y)/g1^4 + g1^2*t^8.47*y + 4*t^8.57*y + (2*t^8.67*y)/g1^2 + g1^2*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 5859 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_1X_1$ | 0.5591 | 0.7019 | 0.7965 | [X:[1.3571], M:[0.6429, 1.1429, 1.0714, 0.7143, 1.0, 1.2857, 0.7143, 0.9286], q:[0.9643, 0.3929], qb:[0.3214, 0.6071], phi:[0.4286]] | 2*t^2.14 + t^2.79 + t^3. + t^3.21 + 2*t^3.43 + t^3.64 + t^4.07 + 3*t^4.29 + t^4.71 + 2*t^4.93 + 2*t^5.14 + t^5.36 + 4*t^5.57 + 2*t^5.79 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 12273/21952, c: 15409/21952, X1: 19/14, M1: 9/14, M2: 8/7, M3: 15/14, M4: 5/7, M5: 1, M6: 9/7, M7: 5/7, M8: 13/14, q1: 27/28, q2: 11/28, qb1: 9/28, qb2: 17/28, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2364 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ | 0.5981 | 0.7588 | 0.7882 | [X:[], M:[0.8036, 1.1429, 0.9107, 0.7143, 1.0, 1.2857, 0.7143], q:[0.8839, 0.3125], qb:[0.4018, 0.6875], phi:[0.4286]] | 2*t^2.14 + t^2.41 + t^2.73 + t^3. + t^3.16 + 2*t^3.43 + t^3.7 + 3*t^4.29 + 2*t^4.55 + t^4.71 + t^4.82 + 2*t^4.88 + 3*t^5.14 + 2*t^5.3 + t^5.41 + t^5.46 + 4*t^5.57 + 3*t^5.84 + t^5.89 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 52515/87808, c: 66627/87808, M1: 45/56, M2: 8/7, M3: 51/56, M4: 5/7, M5: 1, M6: 9/7, M7: 5/7, q1: 99/112, q2: 5/16, qb1: 45/112, qb2: 11/16, phi1: 3/7} |