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 |
|---|---|---|---|---|---|---|---|---|---|
| 46462 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ | 0.6673 | 0.8592 | 0.7767 | [X:[], M:[0.8103, 0.6897, 0.8103, 1.1206], q:[0.75, 0.4397], qb:[0.4397, 0.3706], phi:[0.5]] | [X:[], M:[[1], [-1], [1], [2]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_2M_3$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_3M_4$, $ M_3q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -4 | t^2.07 + 4*t^2.43 + t^3. + 2*t^3.36 + t^3.72 + t^3.93 + 4*t^4.14 + 4*t^4.5 + 10*t^4.86 + t^5.07 + 6*t^5.43 + 7*t^5.79 - 4*t^6. + 4*t^6.15 + 2*t^6.21 + 4*t^6.36 + 12*t^6.57 + 3*t^6.72 + 7*t^6.93 + 2*t^7.09 + 18*t^7.29 + t^7.45 + 4*t^7.5 + t^7.65 - 4*t^7.71 + 17*t^7.86 - 5*t^8.07 + 16*t^8.22 + 7*t^8.28 - 16*t^8.43 + 10*t^8.59 + 4*t^8.64 + 11*t^8.79 - t^4.5/y - t^6.57/y - (2*t^6.93)/y + t^7.14/y + (4*t^7.5)/y + (5*t^7.86)/y + (3*t^8.07)/y + (7*t^8.43)/y - t^8.64/y + (9*t^8.79)/y - t^4.5*y - t^6.57*y - 2*t^6.93*y + t^7.14*y + 4*t^7.5*y + 5*t^7.86*y + 3*t^8.07*y + 7*t^8.43*y - t^8.64*y + 9*t^8.79*y | t^2.07/g1 + 4*g1*t^2.43 + t^3. + 2*g1^2*t^3.36 + g1^4*t^3.72 + g1*t^3.93 + (4*t^4.14)/g1^2 + 4*t^4.5 + 10*g1^2*t^4.86 + t^5.07/g1 + 6*g1*t^5.43 + 7*g1^3*t^5.79 - 4*t^6. + 4*g1^5*t^6.15 + (2*t^6.21)/g1^3 + 4*g1^2*t^6.36 + (12*t^6.57)/g1 + 3*g1^4*t^6.72 + 7*g1*t^6.93 + 2*g1^6*t^7.09 + 18*g1^3*t^7.29 + g1^8*t^7.45 + 4*t^7.5 + g1^5*t^7.65 - (4*t^7.71)/g1^3 + 17*g1^2*t^7.86 - (5*t^8.07)/g1 + 16*g1^4*t^8.22 + (7*t^8.28)/g1^4 - 16*g1*t^8.43 + 10*g1^6*t^8.59 + (4*t^8.64)/g1^2 + 11*g1^3*t^8.79 - t^4.5/y - t^6.57/(g1*y) - (2*g1*t^6.93)/y + t^7.14/(g1^2*y) + (4*t^7.5)/y + (5*g1^2*t^7.86)/y + (3*t^8.07)/(g1*y) + (7*g1*t^8.43)/y - t^8.64/(g1^2*y) + (9*g1^3*t^8.79)/y - t^4.5*y - (t^6.57*y)/g1 - 2*g1*t^6.93*y + (t^7.14*y)/g1^2 + 4*t^7.5*y + 5*g1^2*t^7.86*y + (3*t^8.07*y)/g1 + 7*g1*t^8.43*y - (t^8.64*y)/g1^2 + 9*g1^3*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 47281 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6868 | 0.8943 | 0.768 | [X:[], M:[0.8195, 0.6805, 0.8195, 1.139, 0.7221], q:[0.75, 0.4305], qb:[0.4305, 0.389], phi:[0.5]] | t^2.04 + t^2.17 + 4*t^2.46 + t^3. + 2*t^3.42 + t^3.96 + 4*t^4.08 + t^4.21 + t^4.33 + 4*t^4.5 + 4*t^4.62 + 10*t^4.92 + t^5.04 + t^5.17 + 6*t^5.46 + 2*t^5.58 + 6*t^5.88 - 4*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46142 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ | 0.6791 | 0.8777 | 0.7737 | [X:[], M:[0.8226, 0.6774, 0.8226], q:[0.75, 0.4274], qb:[0.4274, 0.3951], phi:[0.5]] | t^2.03 + 4*t^2.47 + t^2.56 + t^3. + t^3.44 + t^3.87 + t^3.97 + 4*t^4.06 + 4*t^4.5 + t^4.6 + 10*t^4.94 + 5*t^5.03 + t^5.13 + 5*t^5.47 + t^5.56 + 3*t^5.9 - 3*t^6. - t^4.5/y - t^4.5*y | detail |