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 |
|---|---|---|---|---|---|---|---|---|---|
| 55047 | 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_4^2$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6987 | 0.8598 | 0.8126 | [X:[], M:[1.0064, 0.7143, 0.9936, 1.0, 1.1429, 0.7078], q:[0.5, 0.4936], qb:[0.7857, 0.5064], phi:[0.4286]] | [X:[], M:[[1], [0], [-1], [0], [0], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_3$, $ M_4$, $ M_1$, $ M_5$, $ q_2\tilde{q}_1$, $ M_6^2$, $ \phi_1q_2^2$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_2^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_2M_3$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ M_1M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_2M_5$, $ M_3^2$, $ M_6q_2\tilde{q}_1$ | . | -1 | t^2.12 + t^2.14 + t^2.98 + t^3. + t^3.02 + t^3.43 + t^3.84 + 2*t^4.25 + 2*t^4.27 + 3*t^4.29 + t^4.31 + t^4.32 + t^5.1 + 2*t^5.12 + 2*t^5.14 + t^5.16 + t^5.55 + t^5.57 + t^5.96 - t^6. - t^6.02 + 2*t^6.37 + 3*t^6.39 + 4*t^6.41 + 4*t^6.43 + 2*t^6.45 + t^6.47 + t^6.82 - t^6.88 + 2*t^7.23 + 3*t^7.25 + 5*t^7.27 + 3*t^7.29 + 2*t^7.31 + t^7.32 + t^7.34 + 2*t^7.68 + t^7.69 + t^7.71 + 2*t^8.08 - t^8.12 - 3*t^8.14 - 2*t^8.16 - t^8.18 + 3*t^8.49 + 4*t^8.51 + 7*t^8.53 + 6*t^8.55 + 7*t^8.57 + 3*t^8.59 + 3*t^8.61 + t^8.63 + t^8.65 + t^8.94 - 3*t^8.98 - t^4.29/y - t^6.41/y - t^6.43/y + t^7.27/y + t^8.1/y + (2*t^8.12)/y + (3*t^8.14)/y + (2*t^8.16)/y - t^8.53/y + t^8.96/y + (2*t^8.98)/y - t^4.29*y - t^6.41*y - t^6.43*y + t^7.27*y + t^8.1*y + 2*t^8.12*y + 3*t^8.14*y + 2*t^8.16*y - t^8.53*y + t^8.96*y + 2*t^8.98*y | t^2.12/g1 + t^2.14 + t^2.98/g1 + t^3. + g1*t^3.02 + t^3.43 + t^3.84/g1 + (2*t^4.25)/g1^2 + (2*t^4.27)/g1 + 3*t^4.29 + g1*t^4.31 + g1^2*t^4.32 + t^5.1/g1^2 + (2*t^5.12)/g1 + 2*t^5.14 + g1*t^5.16 + t^5.55/g1 + t^5.57 + t^5.96/g1^2 - t^6. - g1*t^6.02 + (2*t^6.37)/g1^3 + (3*t^6.39)/g1^2 + (4*t^6.41)/g1 + 4*t^6.43 + 2*g1*t^6.45 + g1^2*t^6.47 + t^6.82/g1^2 - g1*t^6.88 + (2*t^7.23)/g1^3 + (3*t^7.25)/g1^2 + (5*t^7.27)/g1 + 3*t^7.29 + 2*g1*t^7.31 + g1^2*t^7.32 + g1^3*t^7.34 + (2*t^7.68)/g1^2 + t^7.69/g1 + t^7.71 + (2*t^8.08)/g1^3 - t^8.12/g1 - 3*t^8.14 - 2*g1*t^8.16 - g1^2*t^8.18 + (3*t^8.49)/g1^4 + (4*t^8.51)/g1^3 + (7*t^8.53)/g1^2 + (6*t^8.55)/g1 + 7*t^8.57 + 3*g1*t^8.59 + 3*g1^2*t^8.61 + g1^3*t^8.63 + g1^4*t^8.65 + t^8.94/g1^3 - (3*t^8.98)/g1 - t^4.29/y - t^6.41/(g1*y) - t^6.43/y + t^7.27/(g1*y) + t^8.1/(g1^2*y) + (2*t^8.12)/(g1*y) + (3*t^8.14)/y + (2*g1*t^8.16)/y - t^8.53/(g1^2*y) + t^8.96/(g1^2*y) + (2*t^8.98)/(g1*y) - t^4.29*y - (t^6.41*y)/g1 - t^6.43*y + (t^7.27*y)/g1 + (t^8.1*y)/g1^2 + (2*t^8.12*y)/g1 + 3*t^8.14*y + 2*g1*t^8.16*y - (t^8.53*y)/g1^2 + (t^8.96*y)/g1^2 + (2*t^8.98*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56726 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_1M_7$ | 0.7004 | 0.8649 | 0.8098 | [X:[], M:[1.0304, 0.7143, 0.9696, 1.0, 1.1429, 0.6839, 0.9696], q:[0.5, 0.4696], qb:[0.7857, 0.5304], phi:[0.4286]] | t^2.05 + t^2.14 + 2*t^2.91 + t^3. + t^3.43 + t^3.77 + 2*t^4.1 + 2*t^4.19 + 3*t^4.29 + t^4.38 + t^4.47 + 2*t^4.96 + 3*t^5.05 + t^5.14 + t^5.48 + t^5.57 + 3*t^5.82 + t^5.91 - 2*t^6. - t^4.29/y - t^4.29*y | detail | |
| 56725 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_3M_7$ | 0.6992 | 0.8599 | 0.8131 | [X:[], M:[0.9821, 0.7143, 1.0179, 1.0, 1.1429, 0.7321, 0.9821], q:[0.5, 0.5179], qb:[0.7857, 0.4821], phi:[0.4286]] | t^2.14 + t^2.2 + 2*t^2.95 + t^3. + t^3.43 + t^3.91 + t^4.18 + t^4.23 + 3*t^4.29 + 2*t^4.34 + 2*t^4.39 + 2*t^5.09 + 3*t^5.14 + t^5.2 + t^5.57 + t^5.62 + 2*t^5.89 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 30699/43904, c: 37755/43904, M1: 55/56, M2: 5/7, M3: 57/56, M4: 1, M5: 8/7, M6: 41/56, M7: 55/56, q1: 1/2, q2: 29/56, qb1: 11/14, qb2: 27/56, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47038 | 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_4^2$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ | 0.6784 | 0.8212 | 0.826 | [X:[], M:[1.0, 0.7143, 1.0, 1.0, 1.1429], q:[0.5, 0.5], qb:[0.7857, 0.5], phi:[0.4286]] | t^2.14 + 3*t^3. + t^3.43 + 2*t^3.86 + 7*t^4.29 + 3*t^5.14 + t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 3723/5488, c: 4507/5488, M1: 1, M2: 5/7, M3: 1, M4: 1, M5: 8/7, q1: 1/2, q2: 1/2, qb1: 11/14, qb2: 1/2, phi1: 3/7} |