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 |
|---|---|---|---|---|---|---|---|---|---|
| 3642 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6259 | 0.8118 | 0.7711 | [X:[], M:[1.0, 0.9469, 0.7301, 1.0531, 0.7301], q:[0.7566, 0.2434], qb:[0.5133, 0.5398], phi:[0.4867]] | [X:[], M:[[0], [-8], [-3], [8], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ M_4$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_5\phi_1q_2^2$, $ M_1M_3$, $ M_1M_5$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3M_4$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ M_1\phi_1^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_1$ | $\phi_1q_2^2\tilde{q}_1^2$ | -2 | 2*t^2.19 + t^2.27 + t^2.35 + 2*t^2.92 + t^3. + t^3.16 + t^3.73 + t^3.89 + 3*t^4.38 + 2*t^4.46 + 4*t^4.54 + 2*t^4.62 + 2*t^4.7 + 3*t^5.11 + 3*t^5.19 + 3*t^5.27 + 3*t^5.35 + t^5.43 + t^5.51 + 3*t^5.84 + 2*t^5.92 - 2*t^6. + 3*t^6.08 + t^6.16 + t^6.24 + t^6.32 + 3*t^6.57 + 3*t^6.65 + 5*t^6.73 + 4*t^6.81 + 6*t^6.89 + 2*t^6.97 + 3*t^7.05 + 4*t^7.3 + 3*t^7.38 + 6*t^7.46 + 5*t^7.54 + 5*t^7.62 + 4*t^7.7 + 2*t^7.78 + 2*t^7.86 + 4*t^8.03 + 3*t^8.11 - 2*t^8.19 + 2*t^8.27 - 3*t^8.35 + 3*t^8.43 + 3*t^8.51 + 3*t^8.59 + t^8.67 + 8*t^8.76 + 3*t^8.84 - t^4.46/y - (2*t^6.65)/y + (2*t^7.46)/y + (3*t^7.54)/y + t^7.62/y + (4*t^8.11)/y + (4*t^8.19)/y + (5*t^8.27)/y + (3*t^8.35)/y + t^8.43/y + t^8.51/y - (2*t^8.84)/y + (4*t^8.92)/y - t^4.46*y - 2*t^6.65*y + 2*t^7.46*y + 3*t^7.54*y + t^7.62*y + 4*t^8.11*y + 4*t^8.19*y + 5*t^8.27*y + 3*t^8.35*y + t^8.43*y + t^8.51*y - 2*t^8.84*y + 4*t^8.92*y | (2*t^2.19)/g1^3 + g1*t^2.27 + g1^5*t^2.35 + (2*t^2.92)/g1^4 + t^3. + g1^8*t^3.16 + t^3.73/g1 + g1^7*t^3.89 + (3*t^4.38)/g1^6 + (2*t^4.46)/g1^2 + 4*g1^2*t^4.54 + 2*g1^6*t^4.62 + 2*g1^10*t^4.7 + (3*t^5.11)/g1^7 + (3*t^5.19)/g1^3 + 3*g1*t^5.27 + 3*g1^5*t^5.35 + g1^9*t^5.43 + g1^13*t^5.51 + (3*t^5.84)/g1^8 + (2*t^5.92)/g1^4 - 2*t^6. + 3*g1^4*t^6.08 + g1^8*t^6.16 + g1^12*t^6.24 + g1^16*t^6.32 + (3*t^6.57)/g1^9 + (3*t^6.65)/g1^5 + (5*t^6.73)/g1 + 4*g1^3*t^6.81 + 6*g1^7*t^6.89 + 2*g1^11*t^6.97 + 3*g1^15*t^7.05 + (4*t^7.3)/g1^10 + (3*t^7.38)/g1^6 + (6*t^7.46)/g1^2 + 5*g1^2*t^7.54 + 5*g1^6*t^7.62 + 4*g1^10*t^7.7 + 2*g1^14*t^7.78 + 2*g1^18*t^7.86 + (4*t^8.03)/g1^11 + (3*t^8.11)/g1^7 - (2*t^8.19)/g1^3 + 2*g1*t^8.27 - 3*g1^5*t^8.35 + 3*g1^9*t^8.43 + 3*g1^13*t^8.51 + 3*g1^17*t^8.59 + g1^21*t^8.67 + (8*t^8.76)/g1^12 + (3*t^8.84)/g1^8 - t^4.46/(g1^2*y) - (2*t^6.65)/(g1^5*y) + (2*t^7.46)/(g1^2*y) + (3*g1^2*t^7.54)/y + (g1^6*t^7.62)/y + (4*t^8.11)/(g1^7*y) + (4*t^8.19)/(g1^3*y) + (5*g1*t^8.27)/y + (3*g1^5*t^8.35)/y + (g1^9*t^8.43)/y + (g1^13*t^8.51)/y - (2*t^8.84)/(g1^8*y) + (4*t^8.92)/(g1^4*y) - (t^4.46*y)/g1^2 - (2*t^6.65*y)/g1^5 + (2*t^7.46*y)/g1^2 + 3*g1^2*t^7.54*y + g1^6*t^7.62*y + (4*t^8.11*y)/g1^7 + (4*t^8.19*y)/g1^3 + 5*g1*t^8.27*y + 3*g1^5*t^8.35*y + g1^9*t^8.43*y + g1^13*t^8.51*y - (2*t^8.84*y)/g1^8 + (4*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 3916 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.6465 | 0.8511 | 0.7596 | [X:[], M:[1.0, 0.9368, 0.7263, 1.0632, 0.7263, 0.6947], q:[0.7579, 0.2421], qb:[0.5158, 0.5474], phi:[0.4842]] | t^2.08 + 2*t^2.18 + t^2.27 + t^2.37 + 2*t^2.91 + t^3. + t^3.19 + t^3.73 + t^4.17 + 2*t^4.26 + 4*t^4.36 + 3*t^4.45 + 4*t^4.55 + 2*t^4.64 + 2*t^4.74 + 2*t^4.99 + 4*t^5.08 + 3*t^5.18 + 4*t^5.27 + 3*t^5.37 + t^5.46 + t^5.56 + 4*t^5.81 + 2*t^5.91 - 2*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3223 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ | 0.6062 | 0.7757 | 0.7815 | [X:[], M:[1.0, 0.9565, 0.7337, 1.0435], q:[0.7554, 0.2446], qb:[0.5109, 0.5326], phi:[0.4891]] | t^2.2 + t^2.27 + t^2.33 + 2*t^2.93 + t^3. + t^3.13 + t^3.73 + t^3.8 + t^3.86 + t^4.4 + t^4.47 + 3*t^4.53 + 2*t^4.6 + 2*t^4.66 + t^5.14 + 2*t^5.2 + 3*t^5.27 + 2*t^5.33 + t^5.4 + t^5.46 + 3*t^5.87 + t^5.93 - t^6. - t^4.47/y - t^4.47*y | detail |