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 |
|---|---|---|---|---|---|---|---|---|---|
| 1603 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ + $ M_3^2$ | 0.7188 | 0.8974 | 0.801 | [X:[], M:[1.0, 1.1429, 1.0, 1.0, 0.7143, 0.7143, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | [X:[], M:[[1], [0], [0], [-1], [0], [1], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 3945/5488, c: 4925/5488, M1: 1, M2: 8/7, M3: 1, M4: 1, M5: 5/7, M6: 5/7, M7: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_7$, $ M_7$, $ M_6$, $ M_1$, $ M_3$, $ M_4$, $ M_4$, $ M_1$, $ M_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5M_7$, $ M_6M_7$, $ M_7^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_7^2$, $ \phi_1q_2^2$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_5$, $ M_3M_5$, $ M_4M_5$, $ M_1M_6$, $ M_3M_6$, $ M_4M_6$, $ M_1M_7$, $ M_3M_7$, $ M_4M_7$, $ M_4M_7$, $ M_4M_5$, $ M_3M_7$, $ M_1M_5$, $ M_3M_6$, $ M_1M_6$, $ M_2M_5$, $ M_2M_6$, $ M_2M_7$, $ M_2M_7$, $ M_2M_6$ | $M_1^2$, $ M_1M_3$, $ M_3M_4$, $ M_4^2$ | -3 | 3*t^2.14 + 3*t^3. + t^3.43 + 12*t^4.29 + 9*t^5.14 + 3*t^5.57 - 3*t^6. + 28*t^6.43 - 3*t^6.86 + 25*t^7.29 + 6*t^7.71 - 17*t^8.14 + 63*t^8.57 - t^4.29/y - (3*t^6.43)/y + (3*t^7.29)/y + (12*t^8.14)/y - (3*t^8.57)/y - t^4.29*y - 3*t^6.43*y + 3*t^7.29*y + 12*t^8.14*y - 3*t^8.57*y | t^2.14 + t^2.14/g1 + g1*t^2.14 + t^3. + t^3./g1 + g1*t^3. + t^3.43 + 4*t^4.29 + (2*t^4.29)/g1^2 + (2*t^4.29)/g1 + 2*g1*t^4.29 + 2*g1^2*t^4.29 + 3*t^5.14 + t^5.14/g1^2 + (2*t^5.14)/g1 + 2*g1*t^5.14 + g1^2*t^5.14 + t^5.57 + t^5.57/g1 + g1*t^5.57 - t^6. - t^6./g1 - g1*t^6. + 6*t^6.43 + (2*t^6.43)/g1^3 + (3*t^6.43)/g1^2 + (6*t^6.43)/g1 + 6*g1*t^6.43 + 3*g1^2*t^6.43 + 2*g1^3*t^6.43 - t^6.86 - t^6.86/g1 - g1*t^6.86 + 5*t^7.29 + (2*t^7.29)/g1^3 + (3*t^7.29)/g1^2 + (5*t^7.29)/g1 + 5*g1*t^7.29 + 3*g1^2*t^7.29 + 2*g1^3*t^7.29 + 2*t^7.71 + t^7.71/g1^2 + t^7.71/g1 + g1*t^7.71 + g1^2*t^7.71 - 5*t^8.14 - (2*t^8.14)/g1^2 - (4*t^8.14)/g1 - 4*g1*t^8.14 - 2*g1^2*t^8.14 + 13*t^8.57 + (3*t^8.57)/g1^4 + (4*t^8.57)/g1^3 + (9*t^8.57)/g1^2 + (9*t^8.57)/g1 + 9*g1*t^8.57 + 9*g1^2*t^8.57 + 4*g1^3*t^8.57 + 3*g1^4*t^8.57 - t^4.29/y - t^6.43/y - t^6.43/(g1*y) - (g1*t^6.43)/y + t^7.29/y + t^7.29/(g1*y) + (g1*t^7.29)/y + (4*t^8.14)/y + t^8.14/(g1^2*y) + (3*t^8.14)/(g1*y) + (3*g1*t^8.14)/y + (g1^2*t^8.14)/y - t^8.57/y - t^8.57/(g1^2*y) - (g1^2*t^8.57)/y - t^4.29*y - t^6.43*y - (t^6.43*y)/g1 - g1*t^6.43*y + t^7.29*y + (t^7.29*y)/g1 + g1*t^7.29*y + 4*t^8.14*y + (t^8.14*y)/g1^2 + (3*t^8.14*y)/g1 + 3*g1*t^8.14*y + g1^2*t^8.14*y - t^8.57*y - (t^8.57*y)/g1^2 - g1^2*t^8.57*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 |
|---|---|---|---|---|---|---|---|---|
| 3990 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1M_8$ | 0.7199 | 0.8998 | 0.8 | [X:[], M:[1.0215, 1.1429, 1.0, 0.9785, 0.7143, 0.7358, 0.6928, 0.9785], q:[0.7857, 0.4785], qb:[0.5, 0.5215], phi:[0.4286]] | t^2.08 + t^2.14 + t^2.21 + 2*t^2.94 + t^3. + t^3.43 + 2*t^4.16 + 2*t^4.22 + 4*t^4.29 + 2*t^4.35 + 2*t^4.41 + 2*t^5.01 + 3*t^5.08 + 3*t^5.14 + t^5.21 + t^5.51 + t^5.57 + t^5.64 + 2*t^5.87 - 2*t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1027 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ | 0.723 | 0.9046 | 0.7992 | [X:[], M:[1.0, 1.1624, 0.9316, 1.0, 0.7436, 0.6752, 0.6752], q:[0.7906, 0.5342], qb:[0.4658, 0.5342], phi:[0.4188]] | 2*t^2.03 + t^2.23 + t^2.79 + 2*t^3. + t^3.49 + 4*t^4.05 + 4*t^4.26 + 4*t^4.46 + 2*t^4.82 + 5*t^5.03 + 2*t^5.23 + 2*t^5.51 + t^5.59 + t^5.72 - 2*t^6. - t^4.26/y - t^4.26*y | detail |