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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[6, 1], [-2, -1], [2, 1], [2, -1], [0, 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 |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_5$, $ M_2$, $ M_3$, $ q_1\tilde{q}_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_4$, $ M_4^2$, $ M_1^2$, $ M_4\phi_1^2$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_2M_4$, $ M_1M_3$, $ M_5\phi_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$ | $M_2^2$, $ M_3^2$, $ M_2M_5$, $ M_3M_5$, $ M_4q_1\tilde{q}_2$ | -2 | 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^6.24 + 2*t^6.4 - t^6.49 + t^6.65 + 6*t^6.89 + t^6.97 + 2*t^7.13 + 10*t^7.38 + 4*t^7.54 + 3*t^7.62 + 4*t^7.78 + 9*t^7.87 + 5*t^8.03 - 6*t^8.11 + 7*t^8.27 + 3*t^8.35 - 5*t^8.51 + 4*t^8.76 + 3*t^8.92 - t^4.38/y - (2*t^6.89)/y - t^7.13/y + t^7.62/y + (2*t^7.87)/y + t^8.03/y + (2*t^8.27)/y + (6*t^8.51)/y + (3*t^8.76)/y - t^4.38*y - 2*t^6.89*y - t^7.13*y + t^7.62*y + 2*t^7.87*y + t^8.03*y + 2*t^8.27*y + 6*t^8.51*y + 3*t^8.76*y | (g1^2*t^2.51)/g2 + g1^6*g2*t^2.51 + g1^2*t^2.76 + t^3. + t^3./(g1^2*g2) + g1^2*g2*t^3. + t^3.49/g1^4 + g1^5*t^3.89 + g1*t^4.38 + t^4.38/(g1*g2) + g1^3*g2*t^4.38 + (2*t^4.87)/g1^3 + t^4.87/(g1^7*g2^2) + t^4.87/(g1^5*g2) + (g2*t^4.87)/g1 + g1*g2^2*t^4.87 + g1^8*t^5.03 + (g1^4*t^5.03)/g2^2 + g1^12*g2^2*t^5.03 + (g1^4*t^5.27)/g2 + g1^8*g2*t^5.27 + 2*g1^4*t^5.51 + t^5.51/g2^2 + g1^8*g2^2*t^5.51 + g1^2*t^5.76 + t^5.76/g2 + g1^4*g2*t^5.76 - 2*t^6. + t^6.24/g1^2 + (g1^7*t^6.4)/g2 + g1^11*g2*t^6.4 - t^6.49/g1^4 + g1^7*t^6.65 + 2*g1^5*t^6.89 + (g1*t^6.89)/g2^2 + (g1^3*t^6.89)/g2 + g1^7*g2*t^6.89 + g1^9*g2^2*t^6.89 + t^6.97/g1^8 + (g1*t^7.13)/g2 + g1^5*g2*t^7.13 + 2*g1*t^7.38 + t^7.38/(g1^5*g2^3) + t^7.38/(g1^3*g2^2) + (2*t^7.38)/(g1*g2) + 2*g1^3*g2*t^7.38 + g1^5*g2^2*t^7.38 + g1^7*g2^3*t^7.38 + (g1^6*t^7.54)/g2^3 + (g1^10*t^7.54)/g2 + g1^14*g2*t^7.54 + g1^18*g2^3*t^7.54 + t^7.62/g1 + t^7.62/(g1^5*g2^2) + g1^3*g2^2*t^7.62 + 2*g1^10*t^7.78 + (g1^6*t^7.78)/g2^2 + g1^14*g2^2*t^7.78 + t^7.87/g1^3 + t^7.87/(g1^9*g2^3) + t^7.87/(g1^7*g2^2) + (2*t^7.87)/(g1^5*g2) + (2*g2*t^7.87)/g1 + g1*g2^2*t^7.87 + g1^3*g2^3*t^7.87 - g1^8*t^8.03 + (g1^2*t^8.03)/g2^3 + (2*g1^6*t^8.03)/g2 + 2*g1^10*g2*t^8.03 + g1^14*g2^3*t^8.03 - (2*t^8.11)/g1^5 - t^8.11/(g1^9*g2^2) - t^8.11/(g1^7*g2) - (g2*t^8.11)/g1^3 - (g2^2*t^8.11)/g1 + 3*g1^6*t^8.27 + (g1^2*t^8.27)/g2^2 + (g1^4*t^8.27)/g2 + g1^8*g2*t^8.27 + g1^10*g2^2*t^8.27 + t^8.35/g1^7 + t^8.35/(g1^11*g2^2) + (g2^2*t^8.35)/g1^3 - g1^4*t^8.51 - (2*g1^2*t^8.51)/g2 - 2*g1^6*g2*t^8.51 + t^8.76/(g1^2*g2^2) + t^8.76/g2 + g1^4*g2*t^8.76 + g1^6*g2^2*t^8.76 + g1^13*t^8.92 + (g1^9*t^8.92)/g2^2 + g1^17*g2^2*t^8.92 - (g1*t^4.38)/y - (g1^3*t^6.89)/(g2*y) - (g1^7*g2*t^6.89)/y - (g1^3*t^7.13)/y + t^7.62/(g1*y) + t^7.87/(g1^5*g2*y) + (g2*t^7.87)/(g1*y) + (g1^8*t^8.03)/y + (g1^4*t^8.27)/(g2*y) + (g1^8*g2*t^8.27)/y + (2*g1^4*t^8.51)/y + t^8.51/(g2^2*y) + (g1^2*t^8.51)/(g2*y) + (g1^6*g2*t^8.51)/y + (g1^8*g2^2*t^8.51)/y + (g1^2*t^8.76)/y + t^8.76/(g2*y) + (g1^4*g2*t^8.76)/y - g1*t^4.38*y - (g1^3*t^6.89*y)/g2 - g1^7*g2*t^6.89*y - g1^3*t^7.13*y + (t^7.62*y)/g1 + (t^7.87*y)/(g1^5*g2) + (g2*t^7.87*y)/g1 + g1^8*t^8.03*y + (g1^4*t^8.27*y)/g2 + g1^8*g2*t^8.27*y + 2*g1^4*t^8.51*y + (t^8.51*y)/g2^2 + (g1^2*t^8.51*y)/g2 + g1^6*g2*t^8.51*y + g1^8*g2^2*t^8.51*y + g1^2*t^8.76*y + (t^8.76*y)/g2 + g1^4*g2*t^8.76*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 |
|---|---|---|---|---|---|---|---|---|
| 924 | $M_1q_1q_2$ + $ 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_1\phi_1^2$ | 0.6973 | 0.8552 | 0.8154 | [X:[], M:[1.0176, 0.9472, 1.0528, 0.912, 1.0], q:[0.4648, 0.5176], qb:[0.4824, 0.5704], phi:[0.4912]] | t^2.74 + t^2.84 + t^2.95 + t^3. + t^3.05 + t^3.11 + t^3.16 + t^4.26 + t^4.32 + t^4.37 + t^4.42 + t^4.47 + 2*t^4.58 + t^4.63 + t^4.74 + t^4.9 + t^5.47 + t^5.58 + t^5.68 + 2*t^5.79 + 2*t^5.89 + t^5.95 - t^6. - t^4.47/y - t^4.47*y | detail | |
| 925 | $M_1q_1q_2$ + $ 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]] | 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^4.38/y - t^4.38*y | detail | |
| 923 | $M_1q_1q_2$ + $ 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_6\phi_1\tilde{q}_1^2$ | 0.74 | 0.9227 | 0.802 | [X:[], M:[0.8456, 1.0, 1.0, 0.8456, 1.0, 0.693], q:[0.5772, 0.5772], qb:[0.4228, 0.5772], phi:[0.4614]] | t^2.08 + 2*t^2.54 + t^2.77 + 3*t^3. + t^3.46 + t^4.16 + 3*t^4.38 + 2*t^4.62 + 7*t^4.85 + 3*t^5.07 + 3*t^5.08 + 2*t^5.31 + 5*t^5.54 + 3*t^5.77 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 926 | $M_1q_1q_2$ + $ 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_6q_1\tilde{q}_2$ | 0.7344 | 0.9115 | 0.8058 | [X:[], M:[0.8102, 1.0, 1.0, 0.8102, 1.0, 0.8102], q:[0.5949, 0.5949], qb:[0.4051, 0.5949], phi:[0.4525]] | 3*t^2.43 + t^2.72 + 3*t^3. + t^3.79 + 3*t^4.36 + 6*t^4.86 + 6*t^4.93 + 3*t^5.15 + 7*t^5.43 + 3*t^5.72 - 4*t^6. - t^4.36/y - t^4.36*y | detail | |
| 1920 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.5868 | 0.724 | 0.8106 | [X:[1.5971], M:[0.4029, 1.2087, 0.7913, 0.8202, 1.0], q:[0.9029, 0.6942], qb:[0.3058, 0.4856], phi:[0.4029]] | t^2.37 + t^2.42 + t^2.46 + t^3. + t^3.04 + t^3.58 + t^3.63 + t^4.12 + t^4.17 + t^4.75 + 2*t^4.79 + 2*t^4.83 + t^4.88 + t^4.92 + t^5.37 + t^5.42 + t^5.46 + t^5.5 - t^4.21/y - t^4.21*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 |
|---|---|---|---|---|---|---|---|---|---|
| 369 | 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$ | 0.7466 | 0.9183 | 0.813 | [X:[], M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.6645, 0.5], qb:[0.5, 0.6645], phi:[0.4177]] | 5*t^2.51 + t^3. + t^3.99 + 3*t^4.25 + 4*t^4.75 + 15*t^5.01 + 3*t^5.24 + t^5.51 - 7*t^6. - t^4.25/y - t^4.25*y | detail |