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 |
|---|---|---|---|---|---|---|---|---|---|
| 2974 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.6936 | 0.9082 | 0.7637 | [X:[], M:[0.8256, 1.1744, 0.8256, 0.7829, 0.6744, 0.7829], q:[0.75, 0.4244], qb:[0.3585, 0.4671], phi:[0.5]] | [X:[], M:[[3], [-3], [3], [-2], [-3], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_6$, $ q_2\tilde{q}_1$, $ M_1$, $ M_3$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_6$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5\phi_1^2$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_1\tilde{q}_1$ | . | -2 | t^2.02 + 3*t^2.35 + 2*t^2.48 + t^2.67 + t^3. + t^3.33 + t^3.85 + 2*t^4.05 + t^4.17 + t^4.3 + 3*t^4.37 + 2*t^4.5 + 7*t^4.7 + 6*t^4.83 + 3*t^4.95 + 4*t^5.02 + 2*t^5.15 + 5*t^5.35 + 2*t^5.48 + 3*t^5.67 + t^5.8 - 2*t^6. + 2*t^6.07 - t^6.13 + 3*t^6.2 + t^6.33 + 6*t^6.4 + 6*t^6.52 + 3*t^6.65 + 8*t^6.72 + 2*t^6.78 + 6*t^6.85 + 2*t^6.98 + 14*t^7.05 + 12*t^7.17 + 7*t^7.3 + 10*t^7.37 + 4*t^7.43 + 5*t^7.5 + 2*t^7.63 + 10*t^7.7 + 5*t^7.83 + t^7.9 + 2*t^7.95 + 4*t^8.02 + 3*t^8.09 + t^8.15 + t^8.22 + t^8.28 - 6*t^8.35 + 6*t^8.42 - 7*t^8.48 + 8*t^8.55 - t^8.6 - 2*t^8.67 + 14*t^8.74 - t^8.8 + 13*t^8.87 - t^4.5/y - t^6.52/y - (2*t^6.85)/y - t^6.98/y + (3*t^7.37)/y + (2*t^7.5)/y + (4*t^7.7)/y + (6*t^7.83)/y + t^7.95/y + (5*t^8.02)/y + (4*t^8.15)/y + (4*t^8.35)/y + (3*t^8.48)/y - t^8.55/y + (4*t^8.67)/y + (2*t^8.8)/y - t^8.87/y - t^4.5*y - t^6.52*y - 2*t^6.85*y - t^6.98*y + 3*t^7.37*y + 2*t^7.5*y + 4*t^7.7*y + 6*t^7.83*y + t^7.95*y + 5*t^8.02*y + 4*t^8.15*y + 4*t^8.35*y + 3*t^8.48*y - t^8.55*y + 4*t^8.67*y + 2*t^8.8*y - t^8.87*y | t^2.02/g1^3 + (3*t^2.35)/g1^2 + 2*g1^3*t^2.48 + t^2.67/g1 + t^3. + g1*t^3.33 + t^3.85/g1^2 + (2*t^4.05)/g1^6 + t^4.17/g1 + g1^4*t^4.3 + (3*t^4.37)/g1^5 + 2*t^4.5 + (7*t^4.7)/g1^4 + 6*g1*t^4.83 + 3*g1^6*t^4.95 + (4*t^5.02)/g1^3 + 2*g1^2*t^5.15 + (5*t^5.35)/g1^2 + 2*g1^3*t^5.48 + (3*t^5.67)/g1 + g1^4*t^5.8 - 2*t^6. + (2*t^6.07)/g1^9 - g1^5*t^6.13 + (3*t^6.2)/g1^4 + g1*t^6.33 + (6*t^6.4)/g1^8 + (6*t^6.52)/g1^3 + 3*g1^2*t^6.65 + (8*t^6.72)/g1^7 + 2*g1^7*t^6.78 + (6*t^6.85)/g1^2 + 2*g1^3*t^6.98 + (14*t^7.05)/g1^6 + (12*t^7.17)/g1 + 7*g1^4*t^7.3 + (10*t^7.37)/g1^5 + 4*g1^9*t^7.43 + 5*t^7.5 + 2*g1^5*t^7.63 + (10*t^7.7)/g1^4 + 5*g1*t^7.83 + t^7.9/g1^8 + 2*g1^6*t^7.95 + (4*t^8.02)/g1^3 + (3*t^8.09)/g1^12 + g1^2*t^8.15 + t^8.22/g1^7 + g1^7*t^8.28 - (6*t^8.35)/g1^2 + (6*t^8.42)/g1^11 - 7*g1^3*t^8.48 + (8*t^8.55)/g1^6 - g1^8*t^8.6 - (2*t^8.67)/g1 + (14*t^8.74)/g1^10 - g1^4*t^8.8 + (13*t^8.87)/g1^5 - t^4.5/y - t^6.52/(g1^3*y) - (2*t^6.85)/(g1^2*y) - (g1^3*t^6.98)/y + (3*t^7.37)/(g1^5*y) + (2*t^7.5)/y + (4*t^7.7)/(g1^4*y) + (6*g1*t^7.83)/y + (g1^6*t^7.95)/y + (5*t^8.02)/(g1^3*y) + (4*g1^2*t^8.15)/y + (4*t^8.35)/(g1^2*y) + (3*g1^3*t^8.48)/y - t^8.55/(g1^6*y) + (4*t^8.67)/(g1*y) + (2*g1^4*t^8.8)/y - t^8.87/(g1^5*y) - t^4.5*y - (t^6.52*y)/g1^3 - (2*t^6.85*y)/g1^2 - g1^3*t^6.98*y + (3*t^7.37*y)/g1^5 + 2*t^7.5*y + (4*t^7.7*y)/g1^4 + 6*g1*t^7.83*y + g1^6*t^7.95*y + (5*t^8.02*y)/g1^3 + 4*g1^2*t^8.15*y + (4*t^8.35*y)/g1^2 + 3*g1^3*t^8.48*y - (t^8.55*y)/g1^6 + (4*t^8.67*y)/g1 + 2*g1^4*t^8.8*y - (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 |
|---|---|---|---|---|---|---|---|---|
| 3578 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_5X_1$ | 0.6682 | 0.8635 | 0.7738 | [X:[1.375], M:[0.875, 1.125, 0.875, 0.75, 0.625, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | 3*t^2.25 + 3*t^2.62 + t^3. + t^3.38 + 2*t^3.75 + 2*t^4.12 + 7*t^4.5 + 9*t^4.88 + 9*t^5.25 + 4*t^5.62 + 4*t^6. - t^4.5/y - t^4.5*y | detail | {a: 10947/16384, c: 14147/16384, X1: 11/8, M1: 7/8, M2: 9/8, M3: 7/8, M4: 3/4, M5: 5/8, M6: 3/4, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1936 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ | 0.6763 | 0.877 | 0.7712 | [X:[], M:[0.8166, 1.1834, 0.8166, 0.789, 0.6834], q:[0.75, 0.4334], qb:[0.3555, 0.461], phi:[0.5]] | t^2.05 + 2*t^2.37 + 2*t^2.45 + t^2.68 + t^3. + t^3.32 + t^3.63 + t^3.87 + 2*t^4.1 + t^4.18 + t^4.27 + 2*t^4.42 + 2*t^4.5 + 4*t^4.73 + 4*t^4.82 + 3*t^4.9 + 3*t^5.05 + 2*t^5.13 + 4*t^5.37 + 2*t^5.45 + 3*t^5.68 + t^5.77 - t^4.5/y - t^4.5*y | detail |