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 |
|---|---|---|---|---|---|---|---|---|---|
| 47137 | 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_1\tilde{q}_2$ | 0.6554 | 0.8429 | 0.7776 | [X:[], M:[1.1512, 1.1163, 0.6976, 0.7675, 0.7675], q:[0.4825, 0.3663], qb:[0.4012, 0.75], phi:[0.5]] | [X:[], M:[[3], [-1], [-6], [2], [2]], 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$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_2$, $ M_1$, $ \tilde{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$, $ M_3M_5$, $ \phi_1q_1^2$, $ M_3q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_3$, $ M_3q_2\tilde{q}_2$, $ M_1M_3$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_5$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_5$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$ | . | -3 | t^2.09 + 3*t^2.3 + t^3. + 2*t^3.35 + 2*t^3.45 + t^3.8 + t^4.05 + t^4.15 + t^4.19 + 4*t^4.4 + 6*t^4.6 + t^5.09 + 3*t^5.3 + 2*t^5.44 + 2*t^5.55 + 5*t^5.65 + 5*t^5.76 - 3*t^6. + 2*t^6.1 + t^6.14 + t^6.28 + 2*t^6.35 + 3*t^6.45 + 4*t^6.49 + 9*t^6.7 + 3*t^6.8 + 12*t^6.91 - t^7.05 - t^7.15 + t^7.19 + 3*t^7.4 + 2*t^7.53 + 6*t^7.6 + 2*t^7.64 + 5*t^7.74 + 4*t^7.85 + 8*t^7.95 + 9*t^8.06 - 3*t^8.09 - t^8.2 + t^8.23 - 9*t^8.3 + t^8.37 + 3*t^8.41 + 3*t^8.44 + t^8.55 + 4*t^8.58 + 2*t^8.65 + 5*t^8.76 + 10*t^8.79 + 2*t^8.9 - t^4.5/y - t^6.59/y - (2*t^6.8)/y + t^7.05/y + t^7.15/y + (3*t^7.4)/y + (3*t^7.6)/y - t^7.85/y - t^7.95/y + t^8.09/y + (2*t^8.2)/y + (3*t^8.3)/y + t^8.41/y + (2*t^8.44)/y + (2*t^8.55)/y + (6*t^8.65)/y - t^8.69/y + (6*t^8.76)/y - t^8.9/y - t^4.5*y - t^6.59*y - 2*t^6.8*y + t^7.05*y + t^7.15*y + 3*t^7.4*y + 3*t^7.6*y - t^7.85*y - t^7.95*y + t^8.09*y + 2*t^8.2*y + 3*t^8.3*y + t^8.41*y + 2*t^8.44*y + 2*t^8.55*y + 6*t^8.65*y - t^8.69*y + 6*t^8.76*y - t^8.9*y | t^2.09/g1^6 + 3*g1^2*t^2.3 + t^3. + (2*t^3.35)/g1 + 2*g1^3*t^3.45 + g1^2*t^3.8 + t^4.05/g1^3 + g1*t^4.15 + t^4.19/g1^12 + (4*t^4.4)/g1^4 + 6*g1^4*t^4.6 + t^5.09/g1^6 + 3*g1^2*t^5.3 + (2*t^5.44)/g1^7 + (2*t^5.55)/g1^3 + 5*g1*t^5.65 + 5*g1^5*t^5.76 - 3*t^6. + 2*g1^4*t^6.1 + t^6.14/g1^9 + t^6.28/g1^18 + (2*t^6.35)/g1 + 3*g1^3*t^6.45 + (4*t^6.49)/g1^10 + (9*t^6.7)/g1^2 + 3*g1^2*t^6.8 + 12*g1^6*t^6.91 - t^7.05/g1^3 - g1*t^7.15 + t^7.19/g1^12 + (3*t^7.4)/g1^4 + (2*t^7.53)/g1^13 + 6*g1^4*t^7.6 + (2*t^7.64)/g1^9 + (5*t^7.74)/g1^5 + (4*t^7.85)/g1 + 8*g1^3*t^7.95 + 9*g1^7*t^8.06 - (3*t^8.09)/g1^6 - t^8.2/g1^2 + t^8.23/g1^15 - 9*g1^2*t^8.3 + t^8.37/g1^24 + 3*g1^6*t^8.41 + (3*t^8.44)/g1^7 + t^8.55/g1^3 + (4*t^8.58)/g1^16 + 2*g1*t^8.65 + 5*g1^5*t^8.76 + (10*t^8.79)/g1^8 + (2*t^8.9)/g1^4 - t^4.5/y - t^6.59/(g1^6*y) - (2*g1^2*t^6.8)/y + t^7.05/(g1^3*y) + (g1*t^7.15)/y + (3*t^7.4)/(g1^4*y) + (3*g1^4*t^7.6)/y - t^7.85/(g1*y) - (g1^3*t^7.95)/y + t^8.09/(g1^6*y) + (2*t^8.2)/(g1^2*y) + (3*g1^2*t^8.3)/y + (g1^6*t^8.41)/y + (2*t^8.44)/(g1^7*y) + (2*t^8.55)/(g1^3*y) + (6*g1*t^8.65)/y - t^8.69/(g1^12*y) + (6*g1^5*t^8.76)/y - t^8.9/(g1^4*y) - t^4.5*y - (t^6.59*y)/g1^6 - 2*g1^2*t^6.8*y + (t^7.05*y)/g1^3 + g1*t^7.15*y + (3*t^7.4*y)/g1^4 + 3*g1^4*t^7.6*y - (t^7.85*y)/g1 - g1^3*t^7.95*y + (t^8.09*y)/g1^6 + (2*t^8.2*y)/g1^2 + 3*g1^2*t^8.3*y + g1^6*t^8.41*y + (2*t^8.44*y)/g1^7 + (2*t^8.55*y)/g1^3 + 6*g1*t^8.65*y - (t^8.69*y)/g1^12 + 6*g1^5*t^8.76*y - (t^8.9*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 52702 | $M_1q_1q_2$ + $ 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_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_2$ | 0.6398 | 0.8273 | 0.7734 | [X:[], M:[1.0714, 1.1429, 0.8571, 0.7143, 0.7143], q:[0.5357, 0.3929], qb:[0.3214, 0.75], phi:[0.5]] | 3*t^2.14 + t^2.57 + t^3. + 2*t^3.21 + 2*t^3.43 + t^3.64 + t^4.07 + 7*t^4.29 + 4*t^4.71 + 4*t^5.14 + 5*t^5.36 + 6*t^5.57 + 4*t^5.79 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 28089/43904, c: 36321/43904, M1: 15/14, M2: 8/7, M3: 6/7, M4: 5/7, M5: 5/7, q1: 15/28, q2: 11/28, qb1: 9/28, qb2: 3/4, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |