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 |
|---|---|---|---|---|---|---|---|---|---|
| 46319 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_2$ | 0.6763 | 0.877 | 0.7712 | [X:[], M:[0.8166, 0.789, 0.6834], q:[0.75, 0.4334], qb:[0.3555, 0.461], phi:[0.5]] | [X:[], M:[[3], [-2], [-3]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ q_2\tilde{q}_1$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_3q_2\tilde{q}_1$, $ M_1M_3$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ M_1M_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $q_1q_2\tilde{q}_1\tilde{q}_2$ | 0 | 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^6.08 + 2*t^6.15 + 2*t^6.23 + 2*t^6.32 + 4*t^6.47 + 5*t^6.55 + 3*t^6.63 + 2*t^6.72 + 5*t^6.78 + 4*t^6.87 + 3*t^6.95 + 7*t^7.1 + 6*t^7.18 + 5*t^7.27 + 4*t^7.35 + 6*t^7.42 + 4*t^7.5 + 2*t^7.58 + 7*t^7.73 + 4*t^7.82 + 3*t^7.9 + t^7.97 + 3*t^8.05 + 2*t^8.13 + 3*t^8.2 + t^8.22 + t^8.28 - 2*t^8.45 + 4*t^8.52 + 2*t^8.53 + 5*t^8.6 + t^8.77 + 8*t^8.83 + 7*t^8.92 - t^4.5/y - t^6.55/y - t^6.87/y - t^6.95/y + (2*t^7.42)/y + (2*t^7.5)/y + (2*t^7.73)/y + (4*t^7.82)/y + t^7.9/y + (4*t^8.05)/y + (3*t^8.13)/y + (3*t^8.37)/y + (3*t^8.45)/y - t^8.6/y + (4*t^8.68)/y + (2*t^8.77)/y - t^4.5*y - t^6.55*y - t^6.87*y - t^6.95*y + 2*t^7.42*y + 2*t^7.5*y + 2*t^7.73*y + 4*t^7.82*y + t^7.9*y + 4*t^8.05*y + 3*t^8.13*y + 3*t^8.37*y + 3*t^8.45*y - t^8.6*y + 4*t^8.68*y + 2*t^8.77*y | t^2.05/g1^3 + (2*t^2.37)/g1^2 + 2*g1^3*t^2.45 + t^2.68/g1 + t^3. + g1*t^3.32 + g1^2*t^3.63 + t^3.87/g1^2 + (2*t^4.1)/g1^6 + t^4.18/g1 + g1^4*t^4.27 + (2*t^4.42)/g1^5 + 2*t^4.5 + (4*t^4.73)/g1^4 + 4*g1*t^4.82 + 3*g1^6*t^4.9 + (3*t^5.05)/g1^3 + 2*g1^2*t^5.13 + (4*t^5.37)/g1^2 + 2*g1^3*t^5.45 + (3*t^5.68)/g1 + g1^4*t^5.77 + g1^5*t^6.08 + (2*t^6.15)/g1^9 + (2*t^6.23)/g1^4 + 2*g1*t^6.32 + (4*t^6.47)/g1^8 + (5*t^6.55)/g1^3 + 3*g1^2*t^6.63 + 2*g1^7*t^6.72 + (5*t^6.78)/g1^7 + (4*t^6.87)/g1^2 + 3*g1^3*t^6.95 + (7*t^7.1)/g1^6 + (6*t^7.18)/g1 + 5*g1^4*t^7.27 + 4*g1^9*t^7.35 + (6*t^7.42)/g1^5 + 4*t^7.5 + 2*g1^5*t^7.58 + (7*t^7.73)/g1^4 + 4*g1*t^7.82 + 3*g1^6*t^7.9 + t^7.97/g1^8 + (3*t^8.05)/g1^3 + 2*g1^2*t^8.13 + (3*t^8.2)/g1^12 + g1^7*t^8.22 + t^8.28/g1^7 - 2*g1^3*t^8.45 + (4*t^8.52)/g1^11 + 2*g1^8*t^8.53 + (5*t^8.6)/g1^6 + g1^4*t^8.77 + (8*t^8.83)/g1^10 + (7*t^8.92)/g1^5 - t^4.5/y - t^6.55/(g1^3*y) - t^6.87/(g1^2*y) - (g1^3*t^6.95)/y + (2*t^7.42)/(g1^5*y) + (2*t^7.5)/y + (2*t^7.73)/(g1^4*y) + (4*g1*t^7.82)/y + (g1^6*t^7.9)/y + (4*t^8.05)/(g1^3*y) + (3*g1^2*t^8.13)/y + (3*t^8.37)/(g1^2*y) + (3*g1^3*t^8.45)/y - t^8.6/(g1^6*y) + (4*t^8.68)/(g1*y) + (2*g1^4*t^8.77)/y - t^4.5*y - (t^6.55*y)/g1^3 - (t^6.87*y)/g1^2 - g1^3*t^6.95*y + (2*t^7.42*y)/g1^5 + 2*t^7.5*y + (2*t^7.73*y)/g1^4 + 4*g1*t^7.82*y + g1^6*t^7.9*y + (4*t^8.05*y)/g1^3 + 3*g1^2*t^8.13*y + (3*t^8.37*y)/g1^2 + 3*g1^3*t^8.45*y - (t^8.6*y)/g1^6 + (4*t^8.68*y)/g1 + 2*g1^4*t^8.77*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 |
|---|---|---|---|---|---|---|---|---|
| 46512 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_2$ + $ M_2M_4$ | 0.6593 | 0.8468 | 0.7786 | [X:[], M:[0.8067, 0.7955, 0.6933, 1.2045], q:[0.75, 0.4433], qb:[0.3522, 0.4545], phi:[0.5]] | t^2.08 + t^2.39 + 2*t^2.42 + t^2.69 + t^3. + t^3.31 + 2*t^3.61 + t^3.89 + 2*t^4.16 + t^4.19 + t^4.23 + t^4.47 + 2*t^4.5 + 2*t^4.77 + 2*t^4.81 + 3*t^4.84 + 2*t^5.08 + 2*t^5.11 + 3*t^5.39 + 2*t^5.42 + 3*t^5.69 + t^5.73 - t^4.5/y - t^4.5*y | detail | |
| 46726 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ | 0.6936 | 0.9082 | 0.7637 | [X:[], M:[0.8256, 0.7829, 0.6744, 0.7829], q:[0.75, 0.4244], qb:[0.3585, 0.4671], phi:[0.5]] | 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. - t^4.5/y - t^4.5*y | detail | |
| 46620 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_3X_1$ | 0.6491 | 0.8288 | 0.7832 | [X:[1.375], M:[0.875, 0.75, 0.625], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | 2*t^2.25 + 3*t^2.62 + t^3. + t^3.38 + 3*t^3.75 + 2*t^4.12 + 4*t^4.5 + 6*t^4.88 + 8*t^5.25 + 3*t^5.62 + 4*t^6. - t^4.5/y - t^4.5*y | detail | {a: 10635/16384, c: 13579/16384, X1: 11/8, M1: 7/8, M2: 3/4, M3: 5/8, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 45965 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6855 | 0.8931 | 0.7675 | [X:[], M:[0.8163, 0.6776, 0.6837], q:[0.75, 0.4337], qb:[0.4112, 0.4051], phi:[0.5]] | t^2.03 + t^2.05 + 2*t^2.45 + t^2.52 + t^2.53 + t^3. + t^3.47 + t^3.48 + t^3.93 + t^4.02 + t^4.03 + t^4.07 + t^4.08 + 2*t^4.1 + 2*t^4.48 + 2*t^4.5 + t^4.55 + 2*t^4.57 + t^4.59 + 3*t^4.9 + 2*t^4.97 + 2*t^4.98 + 2*t^5.03 + 2*t^5.05 + t^5.07 + 2*t^5.45 + t^5.5 + 3*t^5.52 + 2*t^5.53 + t^5.91 + t^5.93 + t^5.96 + t^5.98 - t^6. - t^4.5/y - t^4.5*y | detail |