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 |
|---|---|---|---|---|---|---|---|---|---|
| 3335 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.5953 | 0.7559 | 0.7875 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.858, 0.7152], q:[0.3567, 0.6433], qb:[0.3576, 0.9281], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [-2], [-2]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_5$, $ M_1$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ M_2M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ X_1$, $ M_5M_6$, $ M_2M_5$, $ M_6\phi_1^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_6q_2\tilde{q}_1$, $ M_1M_6$, $ M_5\phi_1^2$, $ \phi_1q_2^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_6\phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_5$, $ M_6\phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_6\phi_1\tilde{q}_1^2$ | $M_3M_6$, $ M_5\phi_1q_1\tilde{q}_1$, $ \phi_1^3q_1\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$ | 2 | t^2.14 + t^2.15 + 2*t^2.57 + 2*t^3. + 2*t^3.43 + t^3.86 + 3*t^4.29 + 2*t^4.71 + 3*t^4.72 + 2*t^5.14 + 5*t^5.15 + 4*t^5.57 + 2*t^5.58 + 2*t^6. + 2*t^6.01 + 5*t^6.43 + t^6.44 - t^6.85 + 6*t^6.86 + t^6.87 - 2*t^7.28 + 12*t^7.29 + t^7.71 + 12*t^7.72 - 4*t^8.14 + 11*t^8.15 - 4*t^8.57 + 11*t^8.58 - t^4.29/y - t^6.43/y - (2*t^6.86)/y + t^7.29/y + (3*t^7.71)/y + (3*t^7.72)/y + (2*t^8.14)/y + (4*t^8.15)/y + (6*t^8.57)/y + t^8.58/y - t^4.29*y - t^6.43*y - 2*t^6.86*y + t^7.29*y + 3*t^7.71*y + 3*t^7.72*y + 2*t^8.14*y + 4*t^8.15*y + 6*t^8.57*y + t^8.58*y | t^2.14 + t^2.15/g1^2 + t^2.57 + t^2.57/g1^2 + t^3. + t^3./g1^2 + t^3.43 + t^3.43/g1^2 + t^3.86 + t^4.29 + t^4.29/g1^4 + t^4.29/g1^2 + 2*t^4.71 + t^4.72/g1^4 + (2*t^4.72)/g1^2 + 2*t^5.14 + (2*t^5.15)/g1^4 + (3*t^5.15)/g1^2 + t^5.57 + (3*t^5.57)/g1^2 + (2*t^5.58)/g1^4 + (3*t^6.)/g1^2 - g1^2*t^6. + (2*t^6.01)/g1^4 + t^6.43 + (2*t^6.43)/g1^4 + (3*t^6.43)/g1^2 - g1^2*t^6.43 + t^6.44/g1^6 - g1^2*t^6.85 + (3*t^6.86)/g1^4 + (3*t^6.86)/g1^2 + t^6.87/g1^6 - 2*g1^2*t^7.28 + t^7.29 + (2*t^7.29)/g1^6 + (4*t^7.29)/g1^4 + (5*t^7.29)/g1^2 + 2*t^7.71 - g1^2*t^7.71 + (3*t^7.72)/g1^6 + (5*t^7.72)/g1^4 + (4*t^7.72)/g1^2 - 2*t^8.14 - 2*g1^2*t^8.14 + (3*t^8.15)/g1^6 + (6*t^8.15)/g1^4 + (2*t^8.15)/g1^2 - 2*t^8.57 + t^8.57/g1^2 - 3*g1^2*t^8.57 + t^8.58/g1^8 + (4*t^8.58)/g1^6 + (6*t^8.58)/g1^4 - t^4.29/y - t^6.43/(g1^2*y) - t^6.86/y - t^6.86/(g1^2*y) + t^7.29/(g1^2*y) + (2*t^7.71)/y + (g1^2*t^7.71)/y + t^7.72/(g1^4*y) + (2*t^7.72)/(g1^2*y) + t^8.14/y + (g1^2*t^8.14)/y + t^8.15/(g1^4*y) + (3*t^8.15)/(g1^2*y) + (2*t^8.57)/y + (4*t^8.57)/(g1^2*y) + t^8.58/(g1^4*y) - t^4.29*y - (t^6.43*y)/g1^2 - t^6.86*y - (t^6.86*y)/g1^2 + (t^7.29*y)/g1^2 + 2*t^7.71*y + g1^2*t^7.71*y + (t^7.72*y)/g1^4 + (2*t^7.72*y)/g1^2 + t^8.14*y + g1^2*t^8.14*y + (t^8.15*y)/g1^4 + (3*t^8.15*y)/g1^2 + 2*t^8.57*y + (4*t^8.57*y)/g1^2 + (t^8.58*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 |
|---|---|---|---|---|---|---|---|---|
| 3783 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1^2$ | 0.5827 | 0.7344 | 0.7935 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.858, 0.7152, 1.1429], q:[0.3567, 0.6433], qb:[0.3576, 0.9281], phi:[0.4286]] | t^2.14 + t^2.15 + t^2.57 + 2*t^3. + 3*t^3.43 + t^3.86 + 3*t^4.29 + t^4.71 + 2*t^4.72 + t^5.14 + 4*t^5.15 + 4*t^5.57 + 2*t^5.58 + 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2808 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1^2$ | 0.5753 | 0.7171 | 0.8022 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.8731], q:[0.3491, 0.6509], qb:[0.3651, 0.9206], phi:[0.4286]] | t^2.14 + t^2.57 + t^2.62 + t^3. + t^3.05 + t^3.43 + t^3.48 + t^3.81 + t^3.86 + t^4.29 + 2*t^4.71 + t^4.76 + 2*t^5.14 + 2*t^5.19 + t^5.24 + t^5.57 + 2*t^5.62 + t^5.67 - t^4.29/y - t^4.29*y | detail |