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 |
|---|---|---|---|---|---|---|---|---|---|
| 2144 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_4M_7$ | 0.6705 | 0.8223 | 0.8154 | [X:[], M:[0.9841, 1.1111, 1.0159, 0.7937, 0.9841, 0.6984, 1.2063], q:[0.7778, 0.4603], qb:[0.5556, 0.4286], phi:[0.4444]] | [X:[], M:[[1], [0], [-1], [-1], [1], [-2], [1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 1577/2352, c: 967/1176, M1: 62/63, M2: 10/9, M3: 64/63, M4: 50/63, M5: 62/63, M6: 44/63, M7: 76/63, q1: 7/9, q2: 29/63, qb1: 5/9, qb2: 3/7, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_2$, $ M_7$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_6\phi_1^2$, $ M_1M_6$, $ M_5M_6$, $ \phi_1^4$, $ M_2M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6q_1q_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$ | . | -2 | t^2.1 + t^2.67 + 2*t^2.95 + t^3.33 + t^3.62 + t^3.71 + 2*t^4. + t^4.1 + t^4.19 + t^4.29 + t^4.38 + t^4.67 + t^4.76 + 2*t^5.05 + t^5.33 + t^5.43 + t^5.62 + t^5.81 + 2*t^5.9 - 2*t^6. + t^6.1 + t^6.19 + 2*t^6.29 + t^6.48 + 2*t^6.57 + 2*t^6.67 + 2*t^6.76 + t^6.86 + 3*t^6.95 + t^7.05 + 2*t^7.14 + t^7.24 + 2*t^7.33 + t^7.43 + t^7.52 + 2*t^7.62 + 2*t^7.71 + t^7.81 + t^7.9 + 5*t^8. + 2*t^8.19 + 2*t^8.29 + 2*t^8.38 + t^8.48 + t^8.57 + 2*t^8.76 + 4*t^8.86 - 3*t^8.95 - t^4.33/y - t^6.43/y - t^7.29/y + t^7.38/y + t^7.76/y + (2*t^8.05)/y + t^8.24/y + t^8.43/y - t^8.52/y + (2*t^8.62)/y + t^8.71/y + t^8.81/y + t^8.9/y - t^4.33*y - t^6.43*y - t^7.29*y + t^7.38*y + t^7.76*y + 2*t^8.05*y + t^8.24*y + t^8.43*y - t^8.52*y + 2*t^8.62*y + t^8.71*y + t^8.81*y + t^8.9*y | t^2.1/g1^2 + t^2.67 + 2*g1*t^2.95 + t^3.33 + g1*t^3.62 + t^3.71/g1 + 2*t^4. + t^4.1/g1^2 + t^4.19/g1^4 + g1*t^4.29 + t^4.38/g1 + t^4.67 + t^4.76/g1^2 + (2*t^5.05)/g1 + t^5.33 + t^5.43/g1^2 + g1*t^5.62 + t^5.81/g1^3 + 2*g1^2*t^5.9 - 2*t^6. + t^6.1/g1^2 + t^6.19/g1^4 + t^6.29/g1^6 + g1*t^6.29 + t^6.48/g1^3 + 2*g1^2*t^6.57 + 2*t^6.67 + (2*t^6.76)/g1^2 + t^6.86/g1^4 + 3*g1*t^6.95 + t^7.05/g1 + (2*t^7.14)/g1^3 + g1^2*t^7.24 + 2*t^7.33 + t^7.43/g1^2 + t^7.52/g1^4 + 2*g1*t^7.62 + (2*t^7.71)/g1 + t^7.81/g1^3 + t^7.9/g1^5 + 5*t^8. + (2*t^8.19)/g1^4 + t^8.29/g1^6 + g1*t^8.29 + t^8.38/g1^8 + t^8.38/g1 + t^8.48/g1^3 + t^8.57/g1^5 + (2*t^8.76)/g1^2 + (2*t^8.86)/g1^4 + 2*g1^3*t^8.86 + t^8.95/g1^6 - 4*g1*t^8.95 - t^4.33/y - t^6.43/(g1^2*y) - (g1*t^7.29)/y + t^7.38/(g1*y) + t^7.76/(g1^2*y) + (2*t^8.05)/(g1*y) + (g1^2*t^8.24)/y + t^8.43/(g1^2*y) - t^8.52/(g1^4*y) + (2*g1*t^8.62)/y + t^8.71/(g1*y) + t^8.81/(g1^3*y) + (g1^2*t^8.9)/y - t^4.33*y - (t^6.43*y)/g1^2 - g1*t^7.29*y + (t^7.38*y)/g1 + (t^7.76*y)/g1^2 + (2*t^8.05*y)/g1 + g1^2*t^8.24*y + (t^8.43*y)/g1^2 - (t^8.52*y)/g1^4 + 2*g1*t^8.62*y + (t^8.71*y)/g1 + (t^8.81*y)/g1^3 + g1^2*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 4118 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_4M_7$ + $ M_2M_8$ | 0.6805 | 0.8393 | 0.8109 | [X:[], M:[0.9841, 1.1111, 1.0159, 0.7937, 0.9841, 0.6984, 1.2063, 0.8889], q:[0.7778, 0.4603], qb:[0.5556, 0.4286], phi:[0.4444]] | t^2.1 + 2*t^2.67 + 2*t^2.95 + t^3.62 + t^3.71 + 2*t^4. + t^4.1 + t^4.19 + t^4.29 + t^4.38 + t^4.67 + 2*t^4.76 + 2*t^5.05 + 3*t^5.33 + 3*t^5.62 + t^5.81 + 2*t^5.9 - 3*t^6. - t^4.33/y - t^4.33*y | detail | {a: 2701/3969, c: 3331/3969, M1: 62/63, M2: 10/9, M3: 64/63, M4: 50/63, M5: 62/63, M6: 44/63, M7: 76/63, M8: 8/9, q1: 7/9, q2: 29/63, qb1: 5/9, qb2: 3/7, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1116 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6876 | 0.8535 | 0.8057 | [X:[], M:[0.9934, 1.1111, 1.0066, 0.7844, 0.9934, 0.6798], q:[0.7778, 0.451], qb:[0.5556, 0.4379], phi:[0.4444]] | t^2.04 + t^2.35 + t^2.67 + 2*t^2.98 + t^3.33 + t^3.69 + 2*t^4. + t^4.04 + t^4.08 + t^4.31 + t^4.35 + t^4.39 + t^4.67 + 2*t^4.71 + 3*t^5.02 + 3*t^5.33 + t^5.37 + t^5.65 + t^5.73 + 2*t^5.96 - 2*t^6. - t^4.33/y - t^4.33*y | detail |