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 |
|---|---|---|---|---|---|---|---|---|---|
| 46436 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_3\phi_1^2$ | 0.6987 | 0.854 | 0.8181 | [X:[], M:[0.9697, 1.0303, 1.0303, 0.9091], q:[0.4545, 0.5758], qb:[0.5152, 0.5152], phi:[0.4848]] | [X:[], M:[[-2], [2], [2], [-6]], q:[[-3], [5]], qb:[[1], [1]], phi:[[-1]]] | 1 | {a: 2029/2904, c: 310/363, M1: 32/33, M2: 34/33, M3: 34/33, M4: 10/11, q1: 5/11, q2: 19/33, qb1: 17/33, qb2: 17/33, phi1: 16/33} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4\phi_1^2$, $ M_1^2$, $ M_2M_4$, $ M_3M_4$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_4\tilde{q}_1\tilde{q}_2$ | $M_1M_2$, $ M_4q_2\tilde{q}_1$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | 1 | t^2.73 + 2*t^2.91 + 3*t^3.09 + t^3.27 + t^4.18 + 2*t^4.36 + 4*t^4.55 + 2*t^4.73 + t^4.91 + t^5.45 + t^5.64 + 2*t^5.82 + t^6. + 3*t^6.18 + 2*t^6.36 + t^6.55 + t^6.91 + 3*t^7.09 + 5*t^7.27 + 6*t^7.45 + 6*t^7.64 + 5*t^7.82 + 3*t^8. + 2*t^8.18 + 2*t^8.36 + 3*t^8.55 + t^8.73 - t^8.91 - t^4.45/y - t^7.18/y + t^7.73/y + (2*t^8.64)/y + (4*t^8.82)/y - t^4.45*y - t^7.18*y + t^7.73*y + 2*t^8.64*y + 4*t^8.82*y | t^2.73/g1^6 + (2*t^2.91)/g1^2 + 3*g1^2*t^3.09 + g1^6*t^3.27 + t^4.18/g1^7 + (2*t^4.36)/g1^3 + 4*g1*t^4.55 + 2*g1^5*t^4.73 + g1^9*t^4.91 + t^5.45/g1^12 + t^5.64/g1^8 + (2*t^5.82)/g1^4 + t^6. + 3*g1^4*t^6.18 + 2*g1^8*t^6.36 + g1^12*t^6.55 + t^6.91/g1^13 + (3*t^7.09)/g1^9 + (5*t^7.27)/g1^5 + (6*t^7.45)/g1 + 6*g1^3*t^7.64 + 5*g1^7*t^7.82 + 3*g1^11*t^8. + t^8.18/g1^18 + g1^15*t^8.18 + (2*t^8.36)/g1^14 + (3*t^8.55)/g1^10 + t^8.73/g1^6 - t^8.91/g1^2 - t^4.45/(g1*y) - t^7.18/(g1^7*y) + (g1^5*t^7.73)/y + (2*t^8.64)/(g1^8*y) + (4*t^8.82)/(g1^4*y) - (t^4.45*y)/g1 - (t^7.18*y)/g1^7 + g1^5*t^7.73*y + (2*t^8.64*y)/g1^8 + (4*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 47243 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_3\phi_1^2$ + $ M_5\phi_1^2$ | 0.6961 | 0.8501 | 0.8189 | [X:[], M:[0.9756, 1.0244, 1.0244, 0.9267, 1.0244], q:[0.4634, 0.5611], qb:[0.5122, 0.5122], phi:[0.4878]] | t^2.78 + t^2.93 + 4*t^3.07 + t^3.22 + t^4.24 + 2*t^4.39 + 4*t^4.54 + 2*t^4.68 + t^4.83 + t^5.56 + t^5.85 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 47278 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_3\phi_1^2$ + $ M_5q_2\tilde{q}_1$ | 0.7089 | 0.8722 | 0.8128 | [X:[], M:[0.9549, 1.0451, 1.0451, 0.8648, 0.8648], q:[0.4324, 0.6127], qb:[0.5225, 0.5225], phi:[0.4775]] | 2*t^2.59 + 2*t^2.86 + 3*t^3.14 + t^4.03 + 2*t^4.3 + 4*t^4.57 + 2*t^4.84 + t^5.11 + 3*t^5.19 + 3*t^5.46 + 5*t^5.73 - t^4.43/y - t^4.43*y | detail | |
| 46890 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_3\phi_1^2$ + $ \phi_1q_2^2$ + $ M_4X_1$ | 0.6258 | 0.7577 | 0.8259 | [X:[1.3333], M:[0.8889, 1.1111, 1.1111, 0.6667], q:[0.3333, 0.7778], qb:[0.5556, 0.5556], phi:[0.4444]] | 2*t^2.67 + 4*t^3.33 + 4*t^4. + 3*t^4.67 + t^5.33 + 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 811/1296, c: 491/648, X1: 4/3, M1: 8/9, M2: 10/9, M3: 10/9, M4: 2/3, q1: 1/3, q2: 7/9, qb1: 5/9, qb2: 5/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46198 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ | 0.7004 | 0.8555 | 0.8187 | [X:[], M:[1.0, 1.0368, 1.0, 0.8895], q:[0.4448, 0.5552], qb:[0.5184, 0.5552], phi:[0.4816]] | t^2.67 + t^2.89 + 2*t^3. + t^3.11 + 2*t^3.22 + t^4.11 + t^4.33 + 2*t^4.44 + t^4.56 + 2*t^4.67 + 3*t^4.78 + t^5.34 + t^5.56 + t^5.78 + 2*t^5.89 - 2*t^6. - t^4.44/y - t^4.44*y | detail |