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 |
|---|---|---|---|---|---|---|---|---|---|
| 47085 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1^4$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_2$ | 0.6476 | 0.8279 | 0.7823 | [X:[], M:[1.1521, 1.116, 0.6958, 0.7681, 0.884], q:[0.4819, 0.366], qb:[0.4021, 0.75], phi:[0.5]] | [X:[], M:[[3], [-1], [-6], [2], [1]], q:[[-2], [-1]], qb:[[3], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ q_2\tilde{q}_1$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ M_3M_4$, $ \phi_1q_1^2$, $ M_3q_2\tilde{q}_1$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3M_5$, $ M_4M_5$, $ M_5q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_3$, $ M_1M_3$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_5\phi_1^2$, $ M_2q_2\tilde{q}_1$, $ M_1M_4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_3q_1\tilde{q}_2$ | $M_2M_5$ | 0 | t^2.09 + 2*t^2.3 + t^2.65 + t^3. + t^3.35 + 2*t^3.46 + t^3.7 + t^3.8 + t^4.04 + t^4.15 + t^4.17 + 3*t^4.39 + 3*t^4.61 + t^4.74 + 2*t^4.96 + t^5.09 + 3*t^5.3 + t^5.44 + 2*t^5.54 + 2*t^5.65 + 3*t^5.76 + t^5.78 + 3*t^6.11 + t^6.13 + t^6.26 + t^6.35 + 3*t^6.46 + 3*t^6.48 + 5*t^6.7 + 2*t^6.8 + t^6.83 + 6*t^6.91 + 3*t^7.04 + t^7.17 + 3*t^7.26 + 3*t^7.39 + t^7.52 + 5*t^7.61 + 2*t^7.63 + 2*t^7.74 + 3*t^7.85 + t^7.87 + 3*t^7.96 + 4*t^8.06 + t^8.09 + t^8.2 + t^8.22 - t^8.3 + t^8.35 + 4*t^8.41 + 2*t^8.44 + t^8.54 + 3*t^8.57 - 2*t^8.65 + 5*t^8.76 + 6*t^8.78 + t^8.91 - t^4.5/y - t^6.59/y - t^6.8/y + t^7.04/y + (2*t^7.39)/y + t^7.61/y + t^7.74/y + t^7.96/y + t^8.09/y + t^8.2/y + (2*t^8.3)/y + t^8.41/y + t^8.44/y + (2*t^8.54)/y + (3*t^8.65)/y - t^8.67/y + (4*t^8.76)/y + t^8.78/y - t^4.5*y - t^6.59*y - t^6.8*y + t^7.04*y + 2*t^7.39*y + t^7.61*y + t^7.74*y + t^7.96*y + t^8.09*y + t^8.2*y + 2*t^8.3*y + t^8.41*y + t^8.44*y + 2*t^8.54*y + 3*t^8.65*y - t^8.67*y + 4*t^8.76*y + t^8.78*y | t^2.09/g1^6 + 2*g1^2*t^2.3 + g1*t^2.65 + t^3. + t^3.35/g1 + 2*g1^3*t^3.46 + t^3.7/g1^2 + g1^2*t^3.8 + t^4.04/g1^3 + g1*t^4.15 + t^4.17/g1^12 + (3*t^4.39)/g1^4 + 3*g1^4*t^4.61 + t^4.74/g1^5 + 2*g1^3*t^4.96 + t^5.09/g1^6 + 3*g1^2*t^5.3 + t^5.44/g1^7 + (2*t^5.54)/g1^3 + 2*g1*t^5.65 + 3*g1^5*t^5.76 + t^5.78/g1^8 + 3*g1^4*t^6.11 + t^6.13/g1^9 + t^6.26/g1^18 + t^6.35/g1 + 3*g1^3*t^6.46 + (3*t^6.48)/g1^10 + (5*t^6.7)/g1^2 + 2*g1^2*t^6.8 + t^6.83/g1^11 + 6*g1^6*t^6.91 + (3*t^7.04)/g1^3 + t^7.17/g1^12 + 3*g1^5*t^7.26 + (3*t^7.39)/g1^4 + t^7.52/g1^13 + 5*g1^4*t^7.61 + (2*t^7.63)/g1^9 + (2*t^7.74)/g1^5 + (3*t^7.85)/g1 + t^7.87/g1^14 + 3*g1^3*t^7.96 + 4*g1^7*t^8.06 + t^8.09/g1^6 + t^8.2/g1^2 + t^8.22/g1^15 - g1^2*t^8.3 + t^8.35/g1^24 + 4*g1^6*t^8.41 + (2*t^8.44)/g1^7 + t^8.54/g1^3 + (3*t^8.57)/g1^16 - 2*g1*t^8.65 + 5*g1^5*t^8.76 + (6*t^8.78)/g1^8 + t^8.91/g1^17 - t^4.5/y - t^6.59/(g1^6*y) - (g1^2*t^6.8)/y + t^7.04/(g1^3*y) + (2*t^7.39)/(g1^4*y) + (g1^4*t^7.61)/y + t^7.74/(g1^5*y) + (g1^3*t^7.96)/y + t^8.09/(g1^6*y) + t^8.2/(g1^2*y) + (2*g1^2*t^8.3)/y + (g1^6*t^8.41)/y + t^8.44/(g1^7*y) + (2*t^8.54)/(g1^3*y) + (3*g1*t^8.65)/y - t^8.67/(g1^12*y) + (4*g1^5*t^8.76)/y + t^8.78/(g1^8*y) - t^4.5*y - (t^6.59*y)/g1^6 - g1^2*t^6.8*y + (t^7.04*y)/g1^3 + (2*t^7.39*y)/g1^4 + g1^4*t^7.61*y + (t^7.74*y)/g1^5 + g1^3*t^7.96*y + (t^8.09*y)/g1^6 + (t^8.2*y)/g1^2 + 2*g1^2*t^8.3*y + g1^6*t^8.41*y + (t^8.44*y)/g1^7 + (2*t^8.54*y)/g1^3 + 3*g1*t^8.65*y - (t^8.67*y)/g1^12 + 4*g1^5*t^8.76*y + (t^8.78*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55643 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1^4$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_2$ + $ M_2M_3$ | 0.6321 | 0.8107 | 0.7797 | [X:[], M:[1.0714, 1.1429, 0.8571, 0.7143, 0.8571], q:[0.5357, 0.3929], qb:[0.3214, 0.75], phi:[0.5]] | 2*t^2.14 + 2*t^2.57 + t^3. + 2*t^3.21 + t^3.43 + t^3.64 + t^3.86 + t^4.07 + 4*t^4.29 + 5*t^4.71 + 5*t^5.14 + 3*t^5.36 + 3*t^5.57 + 5*t^5.79 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 27753/43904, c: 35593/43904, M1: 15/14, M2: 8/7, M3: 6/7, M4: 5/7, M5: 6/7, q1: 15/28, q2: 11/28, qb1: 9/28, qb2: 3/4, phi1: 1/2} |
| 51657 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1^4$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_2$ + $ M_2M_6$ | 0.6581 | 0.8456 | 0.7783 | [X:[], M:[1.1466, 1.1178, 0.7068, 0.7644, 0.8822, 0.8822], q:[0.4856, 0.3678], qb:[0.3966, 0.75], phi:[0.5]] | t^2.12 + 2*t^2.29 + 2*t^2.65 + t^3. + 2*t^3.44 + t^3.71 + t^3.79 + t^4.06 + t^4.15 + t^4.24 + 3*t^4.41 + 3*t^4.59 + 2*t^4.77 + 4*t^4.94 + t^5.12 + 5*t^5.29 + 2*t^5.56 + t^5.65 + 3*t^5.73 + t^5.83 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 55543 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1^4$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.666 | 0.8608 | 0.7736 | [X:[], M:[1.1459, 1.118, 0.7083, 0.7639, 0.882, 0.7639], q:[0.4861, 0.368], qb:[0.3959, 0.75], phi:[0.5]] | t^2.12 + 3*t^2.29 + t^2.65 + t^3. + t^3.35 + 2*t^3.44 + t^3.79 + t^4.06 + t^4.15 + t^4.25 + 4*t^4.42 + 6*t^4.58 + t^4.77 + 3*t^4.94 + t^5.12 + 4*t^5.29 + t^5.48 + 2*t^5.56 + 3*t^5.65 + 5*t^5.73 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 55465 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1^4$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ | 0.6295 | 0.7957 | 0.7912 | [X:[], M:[1.1587, 1.1138, 0.6825, 0.7725, 0.8862, 1.2275], q:[0.4775, 0.3638], qb:[0.4087, 0.75], phi:[0.5]] | t^2.05 + t^2.32 + t^2.66 + t^3. + t^3.34 + 2*t^3.48 + 2*t^3.68 + t^3.82 + t^4.02 + t^4.1 + t^4.16 + 2*t^4.37 + t^4.63 + t^4.71 + t^4.98 + t^5.05 + 2*t^5.32 + t^5.39 + 2*t^5.52 + t^5.66 + 2*t^5.73 + t^5.79 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46552 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1^4$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ | 0.6373 | 0.8105 | 0.7863 | [X:[], M:[1.1576, 1.1141, 0.6848, 0.7717], q:[0.4783, 0.3641], qb:[0.4076, 0.75], phi:[0.5]] | t^2.05 + 2*t^2.32 + t^3. + 2*t^3.34 + 2*t^3.47 + t^3.68 + t^3.82 + t^4.03 + t^4.11 + t^4.16 + 3*t^4.37 + 3*t^4.63 + t^5.05 + 2*t^5.32 + 2*t^5.4 + 2*t^5.53 + 3*t^5.66 + t^5.74 + 3*t^5.79 - t^6. - t^4.5/y - t^4.5*y | detail |