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 |
|---|---|---|---|---|---|---|---|---|---|
| 1474 | 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_4M_5$ + $ M_1\phi_1^2$ + $ M_5M_6$ + $ M_7\phi_1q_2^2$ | 0.7291 | 0.9105 | 0.8008 | [X:[], M:[1.0487, 0.8538, 0.9052, 0.9974, 1.0026, 0.9974, 0.6705], q:[0.5244, 0.4269], qb:[0.5705, 0.5757], phi:[0.4756]] | [X:[], M:[[2, 2], [-6, -6], [-7, -1], [3, -3], [-3, 3], [3, -3], [7, 7]], q:[[1, 1], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_3$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_1$, $ q_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_7$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_7$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_7$, $ M_6M_7$, $ M_2^2$, $ M_1M_7$, $ M_2M_3$, $ M_7q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_3^2$, $ M_2M_4$, $ M_2M_6$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_3$, $ M_4^2$, $ M_4M_6$, $ M_6^2$ | . | -3 | t^2.01 + t^2.56 + t^2.72 + t^2.85 + 2*t^2.99 + t^3.15 + t^3.3 + t^4.02 + t^4.28 + t^4.42 + t^4.43 + 2*t^4.57 + t^4.71 + 2*t^4.73 + t^4.85 + 2*t^4.87 + t^4.88 + 2*t^5. + t^5.12 + t^5.16 + t^5.28 + t^5.31 + t^5.42 + t^5.43 + t^5.55 + 3*t^5.71 + t^5.85 + t^5.86 + 2*t^5.98 - 3*t^6. + t^6.03 + t^6.14 + 2*t^6.29 + t^6.45 + 2*t^6.58 + t^6.6 + t^6.72 + 2*t^6.74 + t^6.84 + t^6.86 + 2*t^6.88 + t^6.89 + t^7. + 2*t^7.02 + 2*t^7.13 + t^7.15 + t^7.17 + 2*t^7.27 + 2*t^7.29 + t^7.32 + 2*t^7.41 + 2*t^7.43 + 2*t^7.44 + 3*t^7.57 + t^7.58 + t^7.6 + t^7.68 + 2*t^7.7 + 3*t^7.72 + t^7.74 + 3*t^7.84 + t^7.86 + 2*t^7.87 + t^7.98 + t^7.99 + 2*t^8. - 3*t^8.01 + t^8.03 + t^8.05 + t^8.12 + 2*t^8.15 + t^8.18 + 2*t^8.27 + 2*t^8.3 + 2*t^8.42 + t^8.46 + t^8.55 - 3*t^8.56 + t^8.58 + 2*t^8.6 + t^8.61 + 2*t^8.7 - 4*t^8.72 + t^8.73 + 2*t^8.75 + t^8.84 - t^8.85 + 2*t^8.89 + t^8.9 + 2*t^8.98 - 6*t^8.99 - t^4.43/y - t^6.44/y - t^6.99/y - t^7.14/y - t^7.42/y + t^7.43/y + t^7.57/y + t^7.71/y + t^7.73/y + (2*t^7.87)/y + (2*t^8.)/y + t^8.16/y + t^8.28/y + t^8.31/y + (2*t^8.42)/y - t^8.45/y + (2*t^8.55)/y + t^8.57/y + (3*t^8.71)/y + (2*t^8.85)/y + (2*t^8.86)/y + t^8.98/y - t^4.43*y - t^6.44*y - t^6.99*y - t^7.14*y - t^7.42*y + t^7.43*y + t^7.57*y + t^7.71*y + t^7.73*y + 2*t^7.87*y + 2*t^8.*y + t^8.16*y + t^8.28*y + t^8.31*y + 2*t^8.42*y - t^8.45*y + 2*t^8.55*y + t^8.57*y + 3*t^8.71*y + 2*t^8.85*y + 2*t^8.86*y + t^8.98*y | g1^7*g2^7*t^2.01 + t^2.56/(g1^6*g2^6) + t^2.72/(g1^7*g2) + t^2.85/(g1^2*g2^2) + (2*g1^3*t^2.99)/g2^3 + g1^2*g2^2*t^3.15 + g1*g2^7*t^3.3 + g1^14*g2^14*t^4.02 + t^4.28/(g1^3*g2^3) + (g1^2*t^4.42)/g2^4 + (g2^2*t^4.43)/g1^4 + 2*g1*g2*t^4.57 + g1^6*t^4.71 + 2*g2^6*t^4.73 + (g1^11*t^4.85)/g2 + 2*g1^5*g2^5*t^4.87 + (g2^11*t^4.88)/g1 + 2*g1^10*g2^4*t^5. + t^5.12/(g1^12*g2^12) + g1^9*g2^9*t^5.16 + t^5.28/(g1^13*g2^7) + g1^8*g2^14*t^5.31 + t^5.42/(g1^8*g2^8) + t^5.43/(g1^14*g2^2) + t^5.55/(g1^3*g2^9) + (3*t^5.71)/(g1^4*g2^4) + (g1*t^5.85)/g2^5 + (g2*t^5.86)/g1^5 + (2*g1^6*t^5.98)/g2^6 - 3*t^6. + g1^21*g2^21*t^6.03 + (g1^5*t^6.14)/g2 + 2*g1^4*g2^4*t^6.29 + g1^3*g2^9*t^6.45 + 2*g1^8*g2^8*t^6.58 + g1^2*g2^14*t^6.6 + g1^13*g2^7*t^6.72 + 2*g1^7*g2^13*t^6.74 + t^6.84/(g1^9*g2^9) + g1^18*g2^6*t^6.86 + 2*g1^12*g2^12*t^6.88 + g1^6*g2^18*t^6.89 + t^7./(g1^10*g2^4) + 2*g1^17*g2^11*t^7.02 + (2*t^7.13)/(g1^5*g2^5) + (g2*t^7.15)/g1^11 + g1^16*g2^16*t^7.17 + (2*t^7.27)/g2^6 + (2*t^7.29)/g1^6 + g1^15*g2^21*t^7.32 + (2*g1^5*t^7.41)/g2^7 + (2*t^7.43)/(g1*g2) + (2*g2^5*t^7.44)/g1^7 + (3*g1^4*t^7.57)/g2^2 + (g2^4*t^7.58)/g1^2 + (g2^10*t^7.6)/g1^8 + t^7.68/(g1^18*g2^18) + (2*g1^9*t^7.7)/g2^3 + 3*g1^3*g2^3*t^7.72 + (g2^9*t^7.74)/g1^3 + t^7.84/(g1^19*g2^13) + (2*g1^14*t^7.84)/g2^4 + g1^8*g2^2*t^7.86 + 2*g1^2*g2^8*t^7.87 + t^7.98/(g1^14*g2^14) + t^7.99/(g1^20*g2^8) + 2*g1^13*g2*t^8. - 3*g1^7*g2^7*t^8.01 + g1*g2^13*t^8.03 + g1^28*g2^28*t^8.05 + t^8.12/(g1^9*g2^15) + t^8.15/(g1^21*g2^3) + g1^12*g2^6*t^8.15 + g2^18*t^8.18 + (2*t^8.27)/(g1^10*g2^10) + 2*g1^11*g2^11*t^8.3 + (2*t^8.42)/(g1^11*g2^5) + g1^10*g2^16*t^8.46 + t^8.55/g2^12 - (3*t^8.56)/(g1^6*g2^6) + t^8.58/g1^12 + 2*g1^15*g2^15*t^8.6 + g1^9*g2^21*t^8.61 + (2*t^8.7)/(g1*g2^7) - (4*t^8.72)/(g1^7*g2) + g1^20*g2^14*t^8.73 + 2*g1^14*g2^20*t^8.75 + (g1^4*t^8.84)/g2^8 - t^8.85/(g1^2*g2^2) - (g2^4*t^8.87)/g1^8 + g1^25*g2^13*t^8.87 + 2*g1^19*g2^19*t^8.89 + g1^13*g2^25*t^8.9 + (2*g1^9*t^8.98)/g2^9 - (6*g1^3*t^8.99)/g2^3 - t^4.43/(g1*g2*y) - (g1^6*g2^6*t^6.44)/y - t^6.99/(g1^7*g2^7*y) - t^7.14/(g1^8*g2^2*y) - (g1^2*t^7.42)/(g2^4*y) + (g2^2*t^7.43)/(g1^4*y) + (g1*g2*t^7.57)/y + (g1^6*t^7.71)/y + (g2^6*t^7.73)/y + (2*g1^5*g2^5*t^7.87)/y + (2*g1^10*g2^4*t^8.)/y + (g1^9*g2^9*t^8.16)/y + t^8.28/(g1^13*g2^7*y) + (g1^8*g2^14*t^8.31)/y + (2*t^8.42)/(g1^8*g2^8*y) - (g1^13*g2^13*t^8.45)/y + (2*t^8.55)/(g1^3*g2^9*y) + t^8.57/(g1^9*g2^3*y) + (3*t^8.71)/(g1^4*g2^4*y) + (2*g1*t^8.85)/(g2^5*y) + (2*g2*t^8.86)/(g1^5*y) + (g1^6*t^8.98)/(g2^6*y) - (t^4.43*y)/(g1*g2) - g1^6*g2^6*t^6.44*y - (t^6.99*y)/(g1^7*g2^7) - (t^7.14*y)/(g1^8*g2^2) - (g1^2*t^7.42*y)/g2^4 + (g2^2*t^7.43*y)/g1^4 + g1*g2*t^7.57*y + g1^6*t^7.71*y + g2^6*t^7.73*y + 2*g1^5*g2^5*t^7.87*y + 2*g1^10*g2^4*t^8.*y + g1^9*g2^9*t^8.16*y + (t^8.28*y)/(g1^13*g2^7) + g1^8*g2^14*t^8.31*y + (2*t^8.42*y)/(g1^8*g2^8) - g1^13*g2^13*t^8.45*y + (2*t^8.55*y)/(g1^3*g2^9) + (t^8.57*y)/(g1^9*g2^3) + (3*t^8.71*y)/(g1^4*g2^4) + (2*g1*t^8.85*y)/g2^5 + (2*g2*t^8.86*y)/g1^5 + (g1^6*t^8.98*y)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2593 | $M_1q_1q_2$ + $ 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_4M_5$ + $ M_1\phi_1^2$ + $ M_5M_6$ + $ M_7\phi_1q_2^2$ + $ M_1M_8$ | 0.7339 | 0.918 | 0.7994 | [X:[], M:[1.053, 0.841, 0.8971, 0.9969, 1.0031, 0.9969, 0.6855, 0.947], q:[0.5265, 0.4205], qb:[0.5764, 0.5826], phi:[0.4735]] | t^2.06 + t^2.52 + t^2.69 + 2*t^2.84 + 2*t^2.99 + t^3.33 + t^4.11 + t^4.26 + t^4.41 + t^4.43 + 2*t^4.58 + t^4.73 + 2*t^4.75 + t^4.88 + 3*t^4.9 + t^4.92 + 3*t^5.05 + t^5.21 + 2*t^5.36 + 2*t^5.38 + t^5.51 + t^5.53 + 4*t^5.68 + 3*t^5.83 + 2*t^5.98 - 4*t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 954 | 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_4M_5$ + $ M_1\phi_1^2$ + $ M_5M_6$ | 0.7083 | 0.8692 | 0.8149 | [X:[], M:[1.0492, 0.8523, 0.9042, 0.9973, 1.0027, 0.9973], q:[0.5246, 0.4261], qb:[0.5712, 0.5766], phi:[0.4754]] | t^2.56 + t^2.71 + t^2.85 + 2*t^2.99 + t^3.15 + t^3.3 + t^3.98 + t^4.28 + t^4.42 + t^4.43 + t^4.57 + t^4.71 + t^4.73 + t^4.85 + t^4.87 + t^4.89 + t^5.11 + t^5.27 + t^5.41 + t^5.43 + t^5.55 + 3*t^5.7 + t^5.84 + t^5.86 + 2*t^5.98 - 3*t^6. - t^4.43/y - t^4.43*y | detail |