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 |
|---|---|---|---|---|---|---|---|---|---|
| 1307 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_1\tilde{q}_2$ | 0.7046 | 0.8662 | 0.8135 | [X:[], M:[0.9322, 1.0339, 1.0, 1.0678, 0.8644, 0.9322], q:[0.5, 0.5678], qb:[0.4322, 0.5678], phi:[0.483]] | [X:[], M:[[-4], [2], [0], [4], [-8], [-4]], q:[[0], [4]], qb:[[-4], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_1$, $ M_6$, $ M_3$, $ q_2\tilde{q}_1$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_1M_5$, $ M_5M_6$, $ M_1^2$, $ M_3M_5$, $ M_1M_6$, $ M_6^2$, $ M_5q_2\tilde{q}_1$, $ M_2M_5$, $ M_1M_3$, $ M_3M_6$, $ M_6q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_6$ | $q_2^2\tilde{q}_1^2$ | -1 | t^2.59 + 2*t^2.8 + 2*t^3. + t^3.1 + t^3.2 + t^4.04 + t^4.25 + 3*t^4.45 + 2*t^4.65 + 3*t^4.86 + t^5.19 + 2*t^5.39 + 3*t^5.59 + t^5.69 + 2*t^5.8 + 2*t^5.9 - t^6. + 2*t^6.1 - t^6.2 + t^6.31 - t^6.41 + t^6.64 + 3*t^6.84 + 5*t^7.04 + 6*t^7.25 + 6*t^7.45 + 5*t^7.65 + t^7.78 + 3*t^7.86 + 2*t^7.98 + t^8.06 + t^8.08 + 3*t^8.19 + 2*t^8.29 + 2*t^8.39 + 5*t^8.49 - 2*t^8.59 + 6*t^8.69 - 7*t^8.8 + 8*t^8.9 - t^4.45/y - t^7.04/y - t^7.25/y + t^7.65/y + t^7.86/y + (2*t^8.39)/y + (3*t^8.59)/y + t^8.69/y + (5*t^8.8)/y + (2*t^8.9)/y - t^4.45*y - t^7.04*y - t^7.25*y + t^7.65*y + t^7.86*y + 2*t^8.39*y + 3*t^8.59*y + t^8.69*y + 5*t^8.8*y + 2*t^8.9*y | t^2.59/g1^8 + (2*t^2.8)/g1^4 + 2*t^3. + g1^2*t^3.1 + g1^4*t^3.2 + t^4.04/g1^9 + t^4.25/g1^5 + (3*t^4.45)/g1 + 2*g1^3*t^4.65 + 3*g1^7*t^4.86 + t^5.19/g1^16 + (2*t^5.39)/g1^12 + (3*t^5.59)/g1^8 + t^5.69/g1^6 + (2*t^5.8)/g1^4 + (2*t^5.9)/g1^2 - t^6. + 2*g1^2*t^6.1 - g1^4*t^6.2 + g1^6*t^6.31 - g1^8*t^6.41 + t^6.64/g1^17 + (3*t^6.84)/g1^13 + (5*t^7.04)/g1^9 + (6*t^7.25)/g1^5 + (6*t^7.45)/g1 + 5*g1^3*t^7.65 + t^7.78/g1^24 + 3*g1^7*t^7.86 + (2*t^7.98)/g1^20 + g1^11*t^8.06 + t^8.08/g1^18 + (3*t^8.19)/g1^16 + (2*t^8.29)/g1^14 + (2*t^8.39)/g1^12 + (5*t^8.49)/g1^10 - (2*t^8.59)/g1^8 + (6*t^8.69)/g1^6 - (7*t^8.8)/g1^4 + (8*t^8.9)/g1^2 - t^4.45/(g1*y) - t^7.04/(g1^9*y) - t^7.25/(g1^5*y) + (g1^3*t^7.65)/y + (g1^7*t^7.86)/y + (2*t^8.39)/(g1^12*y) + (3*t^8.59)/(g1^8*y) + t^8.69/(g1^6*y) + (5*t^8.8)/(g1^4*y) + (2*t^8.9)/(g1^2*y) - (t^4.45*y)/g1 - (t^7.04*y)/g1^9 - (t^7.25*y)/g1^5 + g1^3*t^7.65*y + g1^7*t^7.86*y + (2*t^8.39*y)/g1^12 + (3*t^8.59*y)/g1^8 + (t^8.69*y)/g1^6 + (5*t^8.8*y)/g1^4 + (2*t^8.9*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2340 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.7115 | 0.8794 | 0.8092 | [X:[], M:[0.9178, 1.0411, 1.0, 1.0822, 0.8355, 0.9178, 0.9178], q:[0.5, 0.5822], qb:[0.4178, 0.5822], phi:[0.4794]] | t^2.51 + 3*t^2.75 + 2*t^3. + t^3.12 + t^3.94 + t^4.19 + 3*t^4.44 + 2*t^4.69 + 3*t^4.93 + t^5.01 + 3*t^5.26 + 6*t^5.51 + t^5.63 + 3*t^5.75 + 3*t^5.88 - 3*t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 828 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ | 0.7059 | 0.868 | 0.8133 | [X:[], M:[0.9254, 1.0373, 1.0, 1.0746, 0.8508, 0.9254], q:[0.4792, 0.5954], qb:[0.4462, 0.5538], phi:[0.4814]] | t^2.55 + 2*t^2.78 + t^3. + t^3.1 + t^3.11 + t^3.12 + t^4.12 + t^4.22 + t^4.32 + t^4.44 + t^4.54 + t^4.57 + t^4.67 + t^4.77 + t^4.89 + t^5.02 + t^5.1 + 2*t^5.33 + 3*t^5.55 + t^5.66 + t^5.78 + t^5.88 + 2*t^5.89 + t^5.9 - 3*t^6. - t^4.44/y - t^4.44*y | detail |