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 |
|---|---|---|---|---|---|---|---|---|---|
| 1313 | 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_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7q_1\tilde{q}_2$ | 0.7261 | 0.8959 | 0.8105 | [X:[], M:[0.8268, 1.0866, 1.0, 1.0, 0.8268, 1.0, 0.8268], q:[0.5866, 0.5866], qb:[0.4134, 0.5866], phi:[0.4567]] | [X:[], M:[[6, 1], [-2, 0], [-2, -1], [2, 1], [2, -1], [0, 0], [4, 0]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_5$, $ M_1$, $ M_3$, $ M_4$, $ M_6$, $ M_3$, $ M_4$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_5$, $ M_7^2$, $ M_5^2$, $ M_5M_7$, $ M_1M_7$, $ M_1^2$, $ M_1M_3$, $ M_4M_5$, $ M_6M_7$, $ M_3M_5$, $ M_5M_6$, $ M_3M_7$, $ M_1M_6$, $ M_4M_7$, $ M_1M_4$, $ M_2M_7$, $ M_2M_5$, $ M_1M_2$ | $M_3^2$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$ | -4 | 3*t^2.48 + 3*t^3. + t^3.26 + t^3.85 + 3*t^4.37 + 6*t^4.89 + 6*t^4.96 + 6*t^5.48 + 3*t^5.74 - 4*t^6. + 3*t^6.26 + 3*t^6.33 - 3*t^6.52 + 9*t^6.85 + 15*t^7.37 + 10*t^7.44 + t^7.7 + 6*t^7.89 + 9*t^7.96 + 9*t^8.22 - 3*t^8.41 - 15*t^8.48 + 12*t^8.74 + 6*t^8.81 - t^4.37/y - (3*t^6.85)/y + (3*t^7.89)/y + (3*t^7.96)/y + (9*t^8.48)/y + (3*t^8.74)/y - t^4.37*y - 3*t^6.85*y + 3*t^7.89*y + 3*t^7.96*y + 9*t^8.48*y + 3*t^8.74*y | g1^4*t^2.48 + (g1^2*t^2.48)/g2 + g1^6*g2*t^2.48 + t^3. + t^3./(g1^2*g2) + g1^2*g2*t^3. + t^3.26/g1^2 + g1^5*t^3.85 + g1*t^4.37 + t^4.37/(g1*g2) + g1^3*g2*t^4.37 + (2*t^4.89)/g1^3 + t^4.89/(g1^7*g2^2) + t^4.89/(g1^5*g2) + (g2*t^4.89)/g1 + g1*g2^2*t^4.89 + 2*g1^8*t^4.96 + (g1^4*t^4.96)/g2^2 + (g1^6*t^4.96)/g2 + g1^10*g2*t^4.96 + g1^12*g2^2*t^4.96 + 2*g1^4*t^5.48 + t^5.48/g2^2 + (g1^2*t^5.48)/g2 + g1^6*g2*t^5.48 + g1^8*g2^2*t^5.48 + g1^2*t^5.74 + t^5.74/g2 + g1^4*g2*t^5.74 - 2*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. + t^6.26/g1^2 + t^6.26/(g1^4*g2) + g2*t^6.26 + g1^9*t^6.33 + (g1^7*t^6.33)/g2 + g1^11*g2*t^6.33 - t^6.52/g1^4 - t^6.52/(g1^6*g2) - (g2*t^6.52)/g1^2 + 3*g1^5*t^6.85 + (g1*t^6.85)/g2^2 + (2*g1^3*t^6.85)/g2 + 2*g1^7*g2*t^6.85 + g1^9*g2^2*t^6.85 + 3*g1*t^7.37 + t^7.37/(g1^5*g2^3) + (2*t^7.37)/(g1^3*g2^2) + (3*t^7.37)/(g1*g2) + 3*g1^3*g2*t^7.37 + 2*g1^5*g2^2*t^7.37 + g1^7*g2^3*t^7.37 + 2*g1^12*t^7.44 + (g1^6*t^7.44)/g2^3 + (g1^8*t^7.44)/g2^2 + (2*g1^10*t^7.44)/g2 + 2*g1^14*g2*t^7.44 + g1^16*g2^2*t^7.44 + g1^18*g2^3*t^7.44 + g1^10*t^7.7 + t^7.89/(g1^9*g2^3) + t^7.89/(g1^7*g2^2) + t^7.89/(g1^5*g2) + (g2*t^7.89)/g1 + g1*g2^2*t^7.89 + g1^3*g2^3*t^7.89 + g1^8*t^7.96 + (g1^2*t^7.96)/g2^3 + (g1^4*t^7.96)/g2^2 + (2*g1^6*t^7.96)/g2 + 2*g1^10*g2*t^7.96 + g1^12*g2^2*t^7.96 + g1^14*g2^3*t^7.96 + 3*g1^6*t^8.22 + (g1^2*t^8.22)/g2^2 + (2*g1^4*t^8.22)/g2 + 2*g1^8*g2*t^8.22 + g1^10*g2^2*t^8.22 - t^8.41/g1^7 - t^8.41/(g1^9*g2) - (g2*t^8.41)/g1^5 - 5*g1^4*t^8.48 - t^8.48/g2^2 - (4*g1^2*t^8.48)/g2 - 4*g1^6*g2*t^8.48 - g1^8*g2^2*t^8.48 + 4*g1^2*t^8.74 + (2*t^8.74)/(g1^2*g2^2) + (2*t^8.74)/g2 + 2*g1^4*g2*t^8.74 + 2*g1^6*g2^2*t^8.74 + 2*g1^13*t^8.81 + (g1^9*t^8.81)/g2^2 + (g1^11*t^8.81)/g2 + g1^15*g2*t^8.81 + g1^17*g2^2*t^8.81 - (g1*t^4.37)/y - (g1^5*t^6.85)/y - (g1^3*t^6.85)/(g2*y) - (g1^7*g2*t^6.85)/y + t^7.89/(g1^3*y) + t^7.89/(g1^5*g2*y) + (g2*t^7.89)/(g1*y) + (g1^8*t^7.96)/y + (g1^6*t^7.96)/(g2*y) + (g1^10*g2*t^7.96)/y + (3*g1^4*t^8.48)/y + t^8.48/(g2^2*y) + (2*g1^2*t^8.48)/(g2*y) + (2*g1^6*g2*t^8.48)/y + (g1^8*g2^2*t^8.48)/y + (g1^2*t^8.74)/y + t^8.74/(g2*y) + (g1^4*g2*t^8.74)/y - g1*t^4.37*y - g1^5*t^6.85*y - (g1^3*t^6.85*y)/g2 - g1^7*g2*t^6.85*y + (t^7.89*y)/g1^3 + (t^7.89*y)/(g1^5*g2) + (g2*t^7.89*y)/g1 + g1^8*t^7.96*y + (g1^6*t^7.96*y)/g2 + g1^10*g2*t^7.96*y + 3*g1^4*t^8.48*y + (t^8.48*y)/g2^2 + (2*g1^2*t^8.48*y)/g2 + 2*g1^6*g2*t^8.48*y + g1^8*g2^2*t^8.48*y + g1^2*t^8.74*y + (t^8.74*y)/g2 + g1^4*g2*t^8.74*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 |
|---|---|---|---|---|---|---|---|---|
| 2350 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ | 0.7274 | 0.8989 | 0.8092 | [X:[], M:[0.7993, 1.0866, 1.0276, 0.9724, 0.8544, 1.0, 0.8268, 0.9724], q:[0.6142, 0.5866], qb:[0.4134, 0.559], phi:[0.4567]] | t^2.4 + t^2.48 + t^2.56 + 2*t^2.92 + t^3. + t^3.26 + t^3.85 + t^4.29 + t^4.37 + t^4.45 + t^4.72 + t^4.8 + t^4.81 + t^4.88 + 2*t^4.89 + 2*t^4.96 + t^4.97 + t^5.04 + t^5.06 + t^5.13 + 2*t^5.32 + 2*t^5.4 + 2*t^5.48 + t^5.66 + t^5.74 + t^5.82 + 2*t^5.83 - 3*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 830 | 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_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ | 0.7124 | 0.8709 | 0.818 | [X:[], M:[0.8576, 1.0712, 1.0, 1.0, 0.8576, 1.0], q:[0.5712, 0.5712], qb:[0.4288, 0.5712], phi:[0.4644]] | 2*t^2.57 + 3*t^3. + t^3.21 + t^3.43 + t^3.97 + 3*t^4.39 + 6*t^4.82 + 3*t^5.15 + 3*t^5.57 + 2*t^5.79 - 2*t^6. - t^4.39/y - t^4.39*y | detail |