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 |
|---|---|---|---|---|---|---|---|---|---|
| 398 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ | 0.6341 | 0.8036 | 0.7891 | [X:[], M:[1.211, 1.1055, 0.6835, 0.789], q:[0.75, 0.4335], qb:[0.3555, 0.461], phi:[0.5]] | [X:[], M:[[2], [1], [-3], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ M_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_3M_4$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_2M_3$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_3q_1q_2$, $ M_1M_3$, $ M_2M_4$, $ M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_4q_1q_2$, $ M_3\phi_1q_2\tilde{q}_1$ | $M_4q_1\tilde{q}_2$ | 0 | t^2.05 + t^2.37 + t^2.45 + t^3. + 2*t^3.32 + t^3.55 + 2*t^3.63 + t^3.87 + 2*t^4.1 + t^4.18 + t^4.27 + t^4.42 + t^4.5 + t^4.73 + t^4.82 + t^4.9 + t^5.05 + 3*t^5.37 + t^5.45 + t^5.6 + 3*t^5.68 + t^5.77 + t^5.92 + t^6.08 + 2*t^6.15 + t^6.23 + t^6.32 + 2*t^6.47 + 2*t^6.55 + 4*t^6.63 + t^6.72 + t^6.78 + 2*t^6.87 + 3*t^6.95 + 3*t^7.1 + 2*t^7.18 + 2*t^7.27 + t^7.35 + 4*t^7.42 + t^7.5 + 2*t^7.65 + 5*t^7.73 + t^7.82 + 2*t^7.9 + 2*t^7.97 + 3*t^8.2 + t^8.22 + 2*t^8.28 + t^8.37 + 2*t^8.52 + 2*t^8.53 + 2*t^8.6 + 2*t^8.68 + 2*t^8.83 + 2*t^8.92 - t^4.5/y - t^6.55/y + t^7.18/y + t^7.42/y + t^7.5/y + t^8.05/y + (3*t^8.37)/y + (2*t^8.45)/y + (4*t^8.68)/y + (2*t^8.77)/y + (2*t^8.92)/y - t^4.5*y - t^6.55*y + t^7.18*y + t^7.42*y + t^7.5*y + t^8.05*y + 3*t^8.37*y + 2*t^8.45*y + 4*t^8.68*y + 2*t^8.77*y + 2*t^8.92*y | t^2.05/g1^3 + t^2.37/g1^2 + g1^3*t^2.45 + t^3. + 2*g1*t^3.32 + t^3.55/g1^3 + 2*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 + t^4.42/g1^5 + t^4.5 + t^4.73/g1^4 + g1*t^4.82 + g1^6*t^4.9 + t^5.05/g1^3 + (3*t^5.37)/g1^2 + g1^3*t^5.45 + t^5.6/g1^6 + (3*t^5.68)/g1 + g1^4*t^5.77 + t^5.92/g1^5 + g1^5*t^6.08 + (2*t^6.15)/g1^9 + t^6.23/g1^4 + g1*t^6.32 + (2*t^6.47)/g1^8 + (2*t^6.55)/g1^3 + 4*g1^2*t^6.63 + g1^7*t^6.72 + t^6.78/g1^7 + (2*t^6.87)/g1^2 + 3*g1^3*t^6.95 + (3*t^7.1)/g1^6 + (2*t^7.18)/g1 + 2*g1^4*t^7.27 + g1^9*t^7.35 + (4*t^7.42)/g1^5 + t^7.5 + (2*t^7.65)/g1^9 + (5*t^7.73)/g1^4 + g1*t^7.82 + 2*g1^6*t^7.9 + (2*t^7.97)/g1^8 + (3*t^8.2)/g1^12 + g1^7*t^8.22 + (2*t^8.28)/g1^7 + t^8.37/g1^2 + (2*t^8.52)/g1^11 + 2*g1^8*t^8.53 + (2*t^8.6)/g1^6 + (2*t^8.68)/g1 + (2*t^8.83)/g1^10 + (2*t^8.92)/g1^5 - t^4.5/y - t^6.55/(g1^3*y) + t^7.18/(g1*y) + t^7.42/(g1^5*y) + t^7.5/y + t^8.05/(g1^3*y) + (3*t^8.37)/(g1^2*y) + (2*g1^3*t^8.45)/y + (4*t^8.68)/(g1*y) + (2*g1^4*t^8.77)/y + (2*t^8.92)/(g1^5*y) - t^4.5*y - (t^6.55*y)/g1^3 + (t^7.18*y)/g1 + (t^7.42*y)/g1^5 + t^7.5*y + (t^8.05*y)/g1^3 + (3*t^8.37*y)/g1^2 + 2*g1^3*t^8.45*y + (4*t^8.68*y)/g1 + 2*g1^4*t^8.77*y + (2*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 643 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_1M_5$ | 0.6515 | 0.8349 | 0.7802 | [X:[], M:[1.2178, 1.1089, 0.6732, 0.7822, 0.7822], q:[0.75, 0.4232], qb:[0.3589, 0.4678], phi:[0.5]] | t^2.02 + 2*t^2.35 + t^2.48 + t^3. + 2*t^3.33 + t^3.52 + t^3.65 + t^3.85 + 2*t^4.04 + t^4.17 + t^4.31 + 2*t^4.37 + t^4.5 + 3*t^4.69 + 2*t^4.83 + t^4.96 + t^5.02 + 4*t^5.35 + t^5.48 + t^5.54 + 4*t^5.67 + t^5.81 + 2*t^5.87 - t^4.5/y - t^4.5*y | detail | |
| 642 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_2M_5$ | 0.6438 | 0.8203 | 0.7848 | [X:[], M:[1.2163, 1.1082, 0.6755, 0.7837, 0.8918], q:[0.75, 0.4255], qb:[0.3582, 0.4663], phi:[0.5]] | t^2.03 + t^2.35 + t^2.47 + t^2.68 + t^3. + t^3.32 + t^3.53 + 2*t^3.65 + t^3.85 + 2*t^4.05 + t^4.18 + t^4.3 + t^4.38 + t^4.5 + 2*t^4.7 + t^4.82 + t^4.95 + 2*t^5.03 + t^5.15 + 3*t^5.35 + t^5.47 + t^5.55 + 3*t^5.68 + t^5.88 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 640 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_3\phi_1q_2\tilde{q}_1$ | 0.6337 | 0.8024 | 0.7897 | [X:[], M:[1.2, 1.1, 0.7, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | t^2.1 + 2*t^2.4 + t^3. + 2*t^3.3 + 3*t^3.6 + t^3.9 + 4*t^4.2 + 2*t^4.5 + 3*t^4.8 + t^5.1 + 4*t^5.4 + 5*t^5.7 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 20277/32000, c: 25677/32000, M1: 6/5, M2: 11/10, M3: 7/10, M4: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| 1839 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_3q_1q_2$ | 0.6266 | 0.7933 | 0.7899 | [X:[], M:[1.1667, 1.0833, 0.75, 0.8333], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]] | 2*t^2.25 + t^2.5 + t^3. + 2*t^3.25 + 2*t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 2*t^4.75 + t^5. + 2*t^5.25 + 4*t^5.5 + 4*t^5.75 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 1925/3072, c: 2437/3072, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 5/12, phi1: 1/2} |
| 1840 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1q_2$ | 0.6502 | 0.8314 | 0.782 | [X:[], M:[1.1994, 1.0997, 0.7008, 0.8006, 0.7992], q:[0.75, 0.4508], qb:[0.3497, 0.4494], phi:[0.5]] | t^2.1 + 3*t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + t^3.9 + 2*t^4.2 + 2*t^4.21 + 3*t^4.5 + 3*t^4.79 + 3*t^4.8 + t^5.1 + 5*t^5.4 + 6*t^5.7 + 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 249 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6426 | 0.819 | 0.7847 | [X:[], M:[1.1534, 1.1608, 0.6858, 0.6783], q:[0.75, 0.4358], qb:[0.4108, 0.4034], phi:[0.5]] | t^2.04 + t^2.06 + t^2.44 + t^3. + 2*t^3.46 + 2*t^3.48 + t^3.56 + t^3.92 + t^4.02 + t^4.04 + t^4.07 + t^4.09 + 2*t^4.11 + t^4.48 + t^4.5 + t^4.89 + t^5.04 + t^5.06 + t^5.44 + 2*t^5.5 + 4*t^5.52 + 2*t^5.54 + t^5.59 + t^5.61 + t^5.9 + t^5.93 + t^5.96 - 2*t^6. - t^4.5/y - t^4.5*y | detail |