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 |
|---|---|---|---|---|---|---|---|---|---|
| 1772 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_2^2$ + $ M_3X_1$ | 0.6277 | 0.7724 | 0.8127 | [X:[1.4657], M:[0.8767, 1.2192, 0.5343, 0.7808], q:[0.3425, 0.7808], qb:[0.4384, 0.6849], phi:[0.4384]] | [X:[[7]], M:[[-4], [-1], [-7], [1]], q:[[3], [1]], qb:[[-2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_4^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_4q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4\phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$ | $\phi_1^3q_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_1\tilde{q}_1\tilde{q}_2$ | 2 | t^2.34 + 2*t^2.63 + t^3.08 + 2*t^3.37 + 2*t^3.66 + t^3.95 + 2*t^4.4 + 2*t^4.68 + t^4.97 + 2*t^5.26 + 2*t^5.42 + 3*t^5.71 + 2*t^6. + t^6.16 + t^6.29 + 2*t^6.45 + t^6.58 + 3*t^6.74 + 4*t^7.03 + 2*t^7.32 + 2*t^7.48 + t^7.6 + 4*t^7.77 + 4*t^7.89 + 4*t^8.05 + 2*t^8.51 - t^8.63 + 5*t^8.79 - t^8.92 - t^4.32/y - (2*t^6.95)/y + (2*t^7.68)/y + (2*t^7.97)/y + t^8.26/y + t^8.42/y + (4*t^8.71)/y - t^4.32*y - 2*t^6.95*y + 2*t^7.68*y + 2*t^7.97*y + t^8.26*y + t^8.42*y + 4*t^8.71*y | g1*t^2.34 + (2*t^2.63)/g1^4 + g1^9*t^3.08 + 2*g1^4*t^3.37 + (2*t^3.66)/g1 + t^3.95/g1^6 + 2*g1^7*t^4.4 + 2*g1^2*t^4.68 + t^4.97/g1^3 + (2*t^5.26)/g1^8 + 2*g1^10*t^5.42 + 3*g1^5*t^5.71 + 2*t^6. + g1^18*t^6.16 + t^6.29/g1^5 + 2*g1^13*t^6.45 + t^6.58/g1^10 + 3*g1^8*t^6.74 + 4*g1^3*t^7.03 + (2*t^7.32)/g1^2 + 2*g1^16*t^7.48 + t^7.6/g1^7 + 4*g1^11*t^7.77 + (4*t^7.89)/g1^12 + 4*g1^6*t^8.05 + 2*g1^19*t^8.51 - t^8.63/g1^4 + 5*g1^14*t^8.79 - t^8.92/g1^9 - t^4.32/(g1^2*y) - (2*t^6.95)/(g1^6*y) + (2*g1^2*t^7.68)/y + (2*t^7.97)/(g1^3*y) + t^8.26/(g1^8*y) + (g1^10*t^8.42)/y + (4*g1^5*t^8.71)/y - (t^4.32*y)/g1^2 - (2*t^6.95*y)/g1^6 + 2*g1^2*t^7.68*y + (2*t^7.97*y)/g1^3 + (t^8.26*y)/g1^8 + g1^10*t^8.42*y + 4*g1^5*t^8.71*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 |
|---|---|---|---|---|---|---|---|---|
| 2771 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_2^2$ + $ M_3X_1$ + $ M_1M_5$ | 0.6173 | 0.7569 | 0.8156 | [X:[1.4372], M:[0.893, 1.2233, 0.5628, 0.7767, 1.107], q:[0.3302, 0.7767], qb:[0.4465, 0.6605], phi:[0.4465]] | t^2.33 + t^2.68 + t^2.97 + 3*t^3.32 + 2*t^3.67 + t^4.02 + 2*t^4.31 + 2*t^4.66 + 2*t^5.3 + 3*t^5.65 + t^5.94 + t^6. - t^4.34/y - t^4.34*y | detail | |
| 2772 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_2^2$ + $ M_3X_1$ + $ M_2M_5$ | 0.6453 | 0.804 | 0.8026 | [X:[1.4612], M:[0.8793, 1.2198, 0.5388, 0.7802, 0.7802], q:[0.3405, 0.7802], qb:[0.4397, 0.681], phi:[0.4397]] | 2*t^2.34 + 2*t^2.64 + t^3.06 + 2*t^3.36 + t^3.66 + t^3.96 + 2*t^4.38 + 4*t^4.68 + 3*t^4.98 + 2*t^5.28 + 3*t^5.4 + 5*t^5.7 + 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 329 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9045, 1.0186, 0.7904, 0.9814], q:[0.5292, 0.5663], qb:[0.4522, 0.6433], phi:[0.4522]] | t^2.37 + 2*t^2.71 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.07 + t^4.3 + t^4.41 + t^4.53 + 2*t^4.64 + t^4.74 + t^4.75 + t^4.87 + t^4.99 + 2*t^5.08 + t^5.22 + t^5.32 + 3*t^5.43 + t^5.66 + t^5.89 - t^6. - t^4.36/y - t^4.36*y | detail |