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 |
|---|---|---|---|---|---|---|---|---|---|
| 925 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_2M_6$ | 0.7207 | 0.8863 | 0.8132 | [X:[], M:[0.8101, 1.0276, 0.9724, 0.8653, 1.0, 0.9724], q:[0.6087, 0.5812], qb:[0.4188, 0.5536], phi:[0.4594]] | [X:[], M:[[6, 1], [-2, -1], [2, 1], [2, -1], [0, 0], [2, 1]], 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 |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_6$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_1M_4$, $ \phi_1q_1^2$, $ M_4^2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ M_1M_3$, $ M_1M_6$, $ M_3M_4$, $ M_4M_6$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_5\phi_1^2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_3M_5$, $ M_5M_6$ | . | -3 | t^2.43 + t^2.6 + t^2.76 + 2*t^2.92 + t^3. + t^3.49 + t^3.89 + t^4.3 + t^4.38 + t^4.46 + t^4.7 + t^4.78 + t^4.86 + 2*t^4.87 + t^4.95 + 2*t^5.03 + 2*t^5.19 + 3*t^5.35 + 2*t^5.51 + 2*t^5.67 + t^5.76 + 2*t^5.83 + t^5.92 - 3*t^6. - t^6.08 - t^6.17 + t^6.24 + t^6.32 + t^6.4 - t^6.57 + t^6.65 + t^6.73 + 2*t^6.81 + 2*t^6.89 + t^6.97 + t^7.05 + t^7.06 + t^7.13 + 2*t^7.21 + t^7.22 + t^7.29 + 3*t^7.3 + 2*t^7.38 + 3*t^7.46 + 5*t^7.62 + t^7.63 + 2*t^7.7 + 7*t^7.78 + 2*t^7.79 + t^7.87 + t^7.94 + 2*t^7.95 - 2*t^8.03 + 2*t^8.1 + t^8.19 + 2*t^8.26 + 2*t^8.27 + 2*t^8.35 - t^8.43 - t^8.51 + t^8.52 + 3*t^8.59 - 4*t^8.6 + 2*t^8.67 + 3*t^8.75 - 2*t^8.76 - 7*t^8.92 - t^4.38/y - t^6.81/y - t^6.97/y - t^7.13/y - t^7.3/y + t^7.46/y + t^7.62/y + t^7.78/y + t^7.95/y + t^8.03/y + t^8.19/y + (3*t^8.35)/y + t^8.43/y + (2*t^8.51)/y + t^8.6/y + (2*t^8.67)/y + t^8.76/y + t^8.83/y + (3*t^8.92)/y - t^4.38*y - t^6.81*y - t^6.97*y - t^7.13*y - t^7.3*y + t^7.46*y + t^7.62*y + t^7.78*y + t^7.95*y + t^8.03*y + t^8.19*y + 3*t^8.35*y + t^8.43*y + 2*t^8.51*y + t^8.6*y + 2*t^8.67*y + t^8.76*y + t^8.83*y + 3*t^8.92*y | g1^6*g2*t^2.43 + (g1^2*t^2.6)/g2 + g1^2*t^2.76 + 2*g1^2*g2*t^2.92 + t^3. + t^3.49/g1^4 + g1^5*t^3.89 + g1^3*g2*t^4.3 + g1*t^4.38 + t^4.46/(g1*g2) + g1*g2^2*t^4.7 + (g2*t^4.78)/g1 + g1^12*g2^2*t^4.86 + (2*t^4.87)/g1^3 + t^4.95/(g1^5*g2) + g1^8*t^5.03 + t^5.03/(g1^7*g2^2) + (g1^4*t^5.19)/g2^2 + g1^8*g2*t^5.19 + (g1^4*t^5.35)/g2 + 2*g1^8*g2^2*t^5.35 + 2*g1^4*t^5.51 + 2*g1^4*g2*t^5.67 + g1^2*t^5.76 + 2*g1^4*g2^2*t^5.83 + g1^2*g2*t^5.92 - 3*t^6. - t^6.08/(g1^2*g2) - t^6.17/(g1^4*g2^2) + t^6.24/g1^2 + g1^11*g2*t^6.32 + (g2*t^6.4)/g1^2 - t^6.49/g1^4 + (g1^7*t^6.49)/g2 - t^6.57/(g1^6*g2) + g1^7*t^6.65 + g1^9*g2^2*t^6.73 + 2*g1^7*g2*t^6.81 + 2*g1^5*t^6.89 + t^6.97/g1^8 + g1^5*g2*t^7.05 + (g1*t^7.06)/g2^2 + g1^7*g2^3*t^7.13 + 2*g1^5*g2^2*t^7.21 + (g1*t^7.22)/g2 + g1^18*g2^3*t^7.29 + 3*g1^3*g2*t^7.3 + 2*g1*t^7.38 + t^7.46/(g1*g2) + g1^14*g2*t^7.46 + g1^3*g2^2*t^7.46 + t^7.62/g1 + (g1^10*t^7.62)/g2 + g1^14*g2^2*t^7.62 + 2*g1^3*g2^3*t^7.62 + t^7.63/(g1^5*g2^3) + 2*g1*g2^2*t^7.7 + 2*g1^10*t^7.78 + (3*g2*t^7.78)/g1 + 2*g1^14*g2^3*t^7.78 + (g1^6*t^7.79)/g2^3 + t^7.79/(g1^5*g2^2) + t^7.87/g1^3 + 2*g1^10*g2*t^7.94 - (g2^2*t^7.94)/g1 + (g1^6*t^7.95)/g2^2 + t^7.95/(g1^5*g2) - g1^8*t^8.03 - (g2*t^8.03)/g1^3 + 2*g1^10*g2^2*t^8.1 - (2*t^8.11)/g1^5 + (2*g1^6*t^8.11)/g2 - t^8.19/(g1^7*g2) + g1^8*g2*t^8.19 + (g2^2*t^8.19)/g1^3 + 2*g1^10*g2^3*t^8.26 + 3*g1^6*t^8.27 - t^8.27/(g1^9*g2^2) + t^8.35/g1^7 + (g1^4*t^8.35)/g2 - g1^6*g2*t^8.43 - g1^4*t^8.51 + t^8.52/(g1^11*g2^2) + 3*g1^6*g2^2*t^8.59 - (4*g1^2*t^8.6)/g2 + 2*g1^4*g2*t^8.67 + g1^17*g2^2*t^8.75 + 2*g1^6*g2^3*t^8.75 - g1^2*t^8.76 - t^8.76/(g1^2*g2^3) + g1^13*t^8.92 - 8*g1^2*g2*t^8.92 - (g1*t^4.38)/y - (g1^7*g2*t^6.81)/y - (g1^3*t^6.97)/(g2*y) - (g1^3*t^7.13)/y - (g1^3*g2*t^7.3)/y + t^7.46/(g1*g2*y) + t^7.62/(g1*y) + (g2*t^7.78)/(g1*y) + t^7.95/(g1^5*g2*y) + (g1^8*t^8.03)/y + (g1^8*g2*t^8.19)/y + (g1^4*t^8.35)/(g2*y) + (2*g1^8*g2^2*t^8.35)/y + (g1^6*g2*t^8.43)/y + (2*g1^4*t^8.51)/y + (g1^2*t^8.6)/(g2*y) + (2*g1^4*g2*t^8.67)/y + (g1^2*t^8.76)/y + (g1^4*g2^2*t^8.83)/y + (3*g1^2*g2*t^8.92)/y - g1*t^4.38*y - g1^7*g2*t^6.81*y - (g1^3*t^6.97*y)/g2 - g1^3*t^7.13*y - g1^3*g2*t^7.3*y + (t^7.46*y)/(g1*g2) + (t^7.62*y)/g1 + (g2*t^7.78*y)/g1 + (t^7.95*y)/(g1^5*g2) + g1^8*t^8.03*y + g1^8*g2*t^8.19*y + (g1^4*t^8.35*y)/g2 + 2*g1^8*g2^2*t^8.35*y + g1^6*g2*t^8.43*y + 2*g1^4*t^8.51*y + (g1^2*t^8.6*y)/g2 + 2*g1^4*g2*t^8.67*y + g1^2*t^8.76*y + g1^4*g2^2*t^8.83*y + 3*g1^2*g2*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 1421 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_2M_6$ + $ M_4\phi_1^2$ | 0.7032 | 0.8663 | 0.8117 | [X:[], M:[0.877, 1.0738, 0.9262, 1.0246, 1.0, 0.9262], q:[0.5984, 0.5246], qb:[0.4754, 0.4508], phi:[0.4877]] | t^2.63 + 2*t^2.78 + t^2.93 + t^3. + t^3.07 + t^3.15 + t^4.17 + t^4.24 + t^4.32 + t^4.39 + t^4.46 + 2*t^4.61 + t^4.68 + t^4.83 + t^5.05 + t^5.26 + 2*t^5.41 + 3*t^5.56 + 3*t^5.7 + t^5.78 + 2*t^5.85 + 2*t^5.93 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 1422 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_2M_6$ + $ M_7q_1\tilde{q}_2$ | 0.7357 | 0.9145 | 0.8046 | [X:[], M:[0.7826, 1.0276, 0.9724, 0.8378, 1.0, 0.9724, 0.8102], q:[0.6225, 0.5949], qb:[0.4051, 0.5673], phi:[0.4525]] | t^2.35 + t^2.43 + t^2.51 + t^2.72 + 2*t^2.92 + t^3. + t^3.79 + t^4.27 + t^4.36 + t^4.44 + t^4.7 + t^4.76 + t^4.78 + t^4.84 + 2*t^4.86 + 2*t^4.93 + t^4.94 + t^5.01 + t^5.03 + t^5.06 + t^5.09 + t^5.15 + t^5.23 + 2*t^5.27 + 2*t^5.35 + 3*t^5.43 + 2*t^5.63 + t^5.72 + 2*t^5.83 - 3*t^6. - t^4.36/y - t^4.36*y | detail | |
| 2086 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_2M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.604 | 0.7543 | 0.8007 | [X:[1.5949], M:[0.4051, 1.2152, 0.7848, 0.8355, 1.0, 0.7848], q:[0.9051, 0.6899], qb:[0.3101, 0.4746], phi:[0.4051]] | 2*t^2.35 + t^2.43 + t^2.51 + t^3. + t^3.08 + t^3.57 + t^4.06 + t^4.14 + 3*t^4.71 + 3*t^4.78 + 3*t^4.86 + t^4.94 + t^5.01 + 2*t^5.35 + 2*t^5.43 + t^5.51 + t^5.58 + t^5.92 - t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 590 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ | 0.7194 | 0.8833 | 0.8145 | [X:[], M:[0.8377, 1.0, 1.0, 0.8377, 1.0], q:[0.5812, 0.5812], qb:[0.4188, 0.5812], phi:[0.4594]] | 2*t^2.51 + t^2.76 + 3*t^3. + t^3.49 + t^3.89 + 3*t^4.38 + 6*t^4.87 + 3*t^5.03 + 2*t^5.27 + 4*t^5.51 + 3*t^5.76 - 2*t^6. - t^4.38/y - t^4.38*y | detail |