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 |
|---|---|---|---|---|---|---|---|---|---|
| 3265 | 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_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ | 0.6406 | 0.7956 | 0.8052 | [X:[1.62, 1.3401], M:[0.86, 0.6599, 1.14, 0.38, 0.7099, 0.7099], q:[0.405, 0.735], qb:[0.455, 0.8851], phi:[0.38]] | [X:[[0, 1], [0, 7]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [2, -13], [-2, 4]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ X_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1M_5$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ X_1$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_3M_6$, $ \phi_1q_2^2$, $ M_5\phi_1q_1^2$, $ M_3\phi_1^2$, $ M_6\phi_1q_1^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ \phi_1^3q_1^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_6\phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$ | $\phi_1^3q_1\tilde{q}_1$ | -1 | 2*t^2.13 + t^2.28 + t^2.58 + t^3.42 + 2*t^3.57 + t^3.72 + t^4.02 + 3*t^4.26 + 2*t^4.41 + t^4.56 + 2*t^4.71 + 2*t^4.86 + t^5.16 + 2*t^5.55 + 4*t^5.7 + 2*t^5.85 - t^6. + 2*t^6.15 + t^6.3 + 4*t^6.39 + 3*t^6.54 + t^6.6 + 2*t^6.69 + 4*t^6.84 + 4*t^6.99 + 3*t^7.14 + 3*t^7.68 + t^7.74 + 6*t^7.83 + 3*t^7.98 + t^8.04 - 2*t^8.13 + 2*t^8.28 + 5*t^8.52 - 2*t^8.58 + 4*t^8.67 + 3*t^8.82 + t^8.88 + 6*t^8.97 - t^4.14/y - (2*t^6.27)/y - t^6.42/y + t^7.26/y + (2*t^7.41)/y + (2*t^7.71)/y + (2*t^7.86)/y + (2*t^8.01)/y - (3*t^8.4)/y + (4*t^8.7)/y + (4*t^8.85)/y - t^4.14*y - 2*t^6.27*y - t^6.42*y + t^7.26*y + 2*t^7.41*y + 2*t^7.71*y + 2*t^7.86*y + 2*t^8.01*y - 3*t^8.4*y + 4*t^8.7*y + 4*t^8.85*y | (g1^2*t^2.13)/g2^13 + (g2^4*t^2.13)/g1^2 + t^2.28/g2^2 + g2^3*t^2.58 + t^3.42/g2^3 + (g1^2*t^3.57)/g2^9 + (g2^8*t^3.57)/g1^2 + g2^2*t^3.72 + g2^7*t^4.02 + (g1^4*t^4.26)/g2^26 + t^4.26/g2^9 + (g2^8*t^4.26)/g1^4 + (g1^2*t^4.41)/g2^15 + (g2^2*t^4.41)/g1^2 + t^4.56/g2^4 + (g1^2*t^4.71)/g2^10 + (g2^7*t^4.71)/g1^2 + 2*g2*t^4.86 + g2^6*t^5.16 + (g1^2*t^5.55)/g2^16 + (g2*t^5.55)/g1^2 + (g1^4*t^5.7)/g2^22 + (2*t^5.7)/g2^5 + (g2^12*t^5.7)/g1^4 + (g1^2*t^5.85)/g2^11 + (g2^6*t^5.85)/g1^2 - t^6. + (g1^2*t^6.15)/g2^6 + (g2^11*t^6.15)/g1^2 + g2^5*t^6.3 + (g1^6*t^6.39)/g2^39 + (g1^2*t^6.39)/g2^22 + t^6.39/(g1^2*g2^5) + (g2^12*t^6.39)/g1^6 + (g1^4*t^6.54)/g2^28 + t^6.54/g2^11 + (g2^6*t^6.54)/g1^4 + g2^10*t^6.6 + t^6.69/g1^2 + (g1^2*t^6.69)/g2^17 + (g1^4*t^6.84)/g2^23 + (2*t^6.84)/g2^6 + (g2^11*t^6.84)/g1^4 + (2*g1^2*t^6.99)/g2^12 + (2*g2^5*t^6.99)/g1^2 + (g1^4*t^7.14)/g2^18 + t^7.14/g2 + (g2^16*t^7.14)/g1^4 + (g1^4*t^7.68)/g2^29 + t^7.68/g2^12 + (g2^5*t^7.68)/g1^4 + g2^9*t^7.74 + (g1^6*t^7.83)/g2^35 + (2*g1^2*t^7.83)/g2^18 + (2*t^7.83)/(g1^2*g2) + (g2^16*t^7.83)/g1^6 + (g1^4*t^7.98)/g2^24 + t^7.98/g2^7 + (g2^10*t^7.98)/g1^4 + g2^14*t^8.04 - (g1^2*t^8.13)/g2^13 - (g2^4*t^8.13)/g1^2 + (g1^4*t^8.28)/g2^19 + (g2^15*t^8.28)/g1^4 + (g1^8*t^8.52)/g2^52 + (g1^4*t^8.52)/g2^35 + t^8.52/g2^18 + t^8.52/(g1^4*g2) + (g2^16*t^8.52)/g1^8 - 2*g2^3*t^8.58 + (g1^6*t^8.67)/g2^41 + (g1^2*t^8.67)/g2^24 + t^8.67/(g1^2*g2^7) + (g2^10*t^8.67)/g1^6 + (g1^4*t^8.82)/g2^30 + t^8.82/g2^13 + (g2^4*t^8.82)/g1^4 + g2^8*t^8.88 + (g1^6*t^8.97)/g2^36 + (2*g1^2*t^8.97)/g2^19 + (2*t^8.97)/(g1^2*g2^2) + (g2^15*t^8.97)/g1^6 - t^4.14/(g2*y) - (g1^2*t^6.27)/(g2^14*y) - (g2^3*t^6.27)/(g1^2*y) - t^6.42/(g2^3*y) + t^7.26/(g2^9*y) + (g1^2*t^7.41)/(g2^15*y) + (g2^2*t^7.41)/(g1^2*y) + (g1^2*t^7.71)/(g2^10*y) + (g2^7*t^7.71)/(g1^2*y) + (2*g2*t^7.86)/y + (g1^2*t^8.01)/(g2^5*y) + (g2^12*t^8.01)/(g1^2*y) - (g1^4*t^8.4)/(g2^27*y) - t^8.4/(g2^10*y) - (g2^7*t^8.4)/(g1^4*y) + (g1^4*t^8.7)/(g2^22*y) + (2*t^8.7)/(g2^5*y) + (g2^12*t^8.7)/(g1^4*y) + (2*g1^2*t^8.85)/(g2^11*y) + (2*g2^6*t^8.85)/(g1^2*y) - (t^4.14*y)/g2 - (g1^2*t^6.27*y)/g2^14 - (g2^3*t^6.27*y)/g1^2 - (t^6.42*y)/g2^3 + (t^7.26*y)/g2^9 + (g1^2*t^7.41*y)/g2^15 + (g2^2*t^7.41*y)/g1^2 + (g1^2*t^7.71*y)/g2^10 + (g2^7*t^7.71*y)/g1^2 + 2*g2*t^7.86*y + (g1^2*t^8.01*y)/g2^5 + (g2^12*t^8.01*y)/g1^2 - (g1^4*t^8.4*y)/g2^27 - (t^8.4*y)/g2^10 - (g2^7*t^8.4*y)/g1^4 + (g1^4*t^8.7*y)/g2^22 + (2*t^8.7*y)/g2^5 + (g2^12*t^8.7*y)/g1^4 + (2*g1^2*t^8.85*y)/g2^11 + (2*g2^6*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 3701 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ + $ M_3M_7$ | 0.6534 | 0.8169 | 0.7999 | [X:[1.6158, 1.3109], M:[0.8475, 0.6891, 1.1525, 0.3842, 0.7287, 0.7287, 0.8475], q:[0.404, 0.7485], qb:[0.4436, 0.8673], phi:[0.3842]] | 2*t^2.19 + t^2.3 + 2*t^2.54 + 2*t^3.58 + t^3.7 + t^3.93 + 3*t^4.37 + 2*t^4.49 + t^4.61 + 4*t^4.73 + 3*t^4.85 + 3*t^5.09 + 3*t^5.76 + 2*t^5.88 - 2*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2751 | 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_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6414 | 0.7996 | 0.8022 | [X:[1.6177], M:[0.8532, 0.676, 1.1468, 0.3823, 0.7046], q:[0.3966, 0.7502], qb:[0.4565, 0.8675], phi:[0.3823]] | t^2.03 + t^2.11 + t^2.29 + t^2.56 + t^3.44 + t^3.53 + t^3.62 + t^3.71 + t^3.79 + t^4.06 + t^4.14 + t^4.23 + t^4.32 + t^4.41 + 2*t^4.59 + t^4.67 + 2*t^4.85 + t^5.12 + t^5.47 + 2*t^5.55 + t^5.64 + t^5.65 + 2*t^5.73 + 2*t^5.82 + t^5.91 - t^6. - t^4.15/y - t^4.15*y | detail |