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 |
|---|---|---|---|---|---|---|---|---|---|
| 474 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ | 0.606 | 0.7574 | 0.8002 | [X:[1.4386], M:[1.0179, 0.5614, 0.736, 0.7718, 0.9821], q:[0.6661, 0.948], qb:[0.316, 0.5264], phi:[0.3859]] | [X:[[0, 1]], M:[[8, -5], [0, -1], [-20, 12], [-4, 2], [-8, 5]], q:[[-13, 8], [15, -9]], qb:[[5, -3], [1, 0]], phi:[[-2, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5$, $ M_1$, $ q_1\tilde{q}_2$, $ X_1$, $ q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_5$, $ M_1M_3$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_5^2$, $ M_4q_1\tilde{q}_2$ | . | -2 | t^2.21 + 2*t^2.32 + t^2.53 + t^2.95 + t^3.05 + t^3.58 + t^4.32 + 2*t^4.42 + 2*t^4.52 + 3*t^4.63 + t^4.74 + 3*t^4.84 + t^5.05 + t^5.15 + 2*t^5.26 + t^5.37 + t^5.47 + t^5.58 + t^5.79 + 2*t^5.89 - 2*t^6. + t^6.1 - t^6.42 + 2*t^6.52 - t^6.53 + t^6.62 + 2*t^6.63 + 2*t^6.73 + 4*t^6.84 + t^6.94 + 5*t^6.95 + 2*t^7.05 + t^7.15 + 3*t^7.16 + t^7.36 + 2*t^7.37 + 2*t^7.47 + 3*t^7.58 + 2*t^7.68 + t^7.79 + t^7.89 + t^7.99 + t^8. + 2*t^8.1 + t^8.31 - 5*t^8.32 + t^8.42 - 4*t^8.53 + t^8.74 + t^8.83 + 2*t^8.84 + t^8.85 + 2*t^8.94 - 2*t^8.95 - t^4.16/y - t^6.37/y - (2*t^6.47)/y + (2*t^7.52)/y + t^7.63/y + t^7.74/y + (4*t^7.84)/y + t^7.95/y + t^8.15/y + (3*t^8.26)/y + (2*t^8.37)/y + t^8.47/y - t^8.57/y + t^8.58/y - (2*t^8.68)/y - (2*t^8.79)/y + (2*t^8.89)/y - t^4.16*y - t^6.37*y - 2*t^6.47*y + 2*t^7.52*y + t^7.63*y + t^7.74*y + 4*t^7.84*y + t^7.95*y + t^8.15*y + 3*t^8.26*y + 2*t^8.37*y + t^8.47*y - t^8.57*y + t^8.58*y - 2*t^8.68*y - 2*t^8.79*y + 2*t^8.89*y | (g2^12*t^2.21)/g1^20 + (2*g2^2*t^2.32)/g1^4 + (g1^6*t^2.53)/g2^3 + (g2^5*t^2.95)/g1^8 + (g1^8*t^3.05)/g2^5 + (g2^8*t^3.58)/g1^12 + g2*t^4.32 + (g1^16*t^4.42)/g2^9 + (g2^24*t^4.42)/g1^40 + (2*g2^14*t^4.52)/g1^24 + (3*g2^4*t^4.63)/g1^8 + (g2^9*t^4.74)/g1^14 + (3*g1^2*t^4.84)/g2 + (g1^12*t^5.05)/g2^6 + (g2^17*t^5.15)/g1^28 + (2*g2^7*t^5.26)/g1^12 + (g1^4*t^5.37)/g2^3 + (g2^2*t^5.47)/g1^2 + (g1^14*t^5.58)/g2^8 + (g2^20*t^5.79)/g1^32 + (2*g2^10*t^5.89)/g1^16 - 2*t^6. + (g2^5*t^6.1)/g1^6 - (g2^8*t^6.42)/g1^14 + (2*g2^13*t^6.52)/g1^20 - (g1^2*t^6.53)/g2^2 + (g2^36*t^6.62)/g1^60 + (2*g2^3*t^6.63)/g1^4 + (2*g2^26*t^6.73)/g1^44 + (g1^6*t^6.84)/g2^2 + (3*g2^16*t^6.84)/g1^28 + (g2^21*t^6.94)/g1^34 + (g1^22*t^6.95)/g2^12 + (4*g2^6*t^6.95)/g1^12 + (2*g2^11*t^7.05)/g1^18 + (g2^16*t^7.15)/g1^24 + (3*g2*t^7.16)/g1^2 - (g1^14*t^7.26)/g2^9 + (g2^6*t^7.26)/g1^8 + (g2^29*t^7.36)/g1^48 + (2*g1^8*t^7.37)/g2^4 + (2*g2^19*t^7.47)/g1^32 + (g1^18*t^7.58)/g2^9 + (2*g2^9*t^7.58)/g1^16 + t^7.68/g2 + (g2^14*t^7.68)/g1^22 + (g2^4*t^7.79)/g1^6 + (g2^9*t^7.89)/g1^12 + (g2^32*t^7.99)/g1^52 + (g1^4*t^8.)/g2 + (2*g2^22*t^8.1)/g1^36 + (g2^17*t^8.31)/g1^26 - (5*g2^2*t^8.32)/g1^4 - (g1^12*t^8.42)/g2^8 + (2*g2^7*t^8.42)/g1^10 - (4*g1^6*t^8.53)/g2^3 - (g1^22*t^8.63)/g2^13 + 2*g2^2*t^8.63 - (g2^20*t^8.63)/g1^34 - (2*g2^10*t^8.73)/g1^18 + (2*g2^25*t^8.73)/g1^40 + (g1^16*t^8.74)/g2^8 + (g2^48*t^8.83)/g1^80 - t^8.84/g1^2 + (3*g2^15*t^8.84)/g1^24 + (g1^32*t^8.85)/g2^18 + (2*g2^38*t^8.94)/g1^64 - (2*g2^5*t^8.95)/g1^8 - (g2*t^4.16)/(g1^2*y) - (g2^13*t^6.37)/(g1^22*y) - (2*g2^3*t^6.47)/(g1^6*y) + (2*g2^14*t^7.52)/(g1^24*y) + (g2^4*t^7.63)/(g1^8*y) + (g2^9*t^7.74)/(g1^14*y) + (4*g1^2*t^7.84)/(g2*y) + (g1^18*t^7.95)/(g2^11*y) + (g2^17*t^8.15)/(g1^28*y) + (3*g2^7*t^8.26)/(g1^12*y) + (2*g1^4*t^8.37)/(g2^3*y) + (g2^2*t^8.47)/(g1^2*y) - (g2^25*t^8.57)/(g1^42*y) + (g1^14*t^8.58)/(g2^8*y) - (2*g2^15*t^8.68)/(g1^26*y) - (3*g2^5*t^8.79)/(g1^10*y) + (g2^20*t^8.79)/(g1^32*y) + (2*g2^10*t^8.89)/(g1^16*y) - (g2*t^4.16*y)/g1^2 - (g2^13*t^6.37*y)/g1^22 - (2*g2^3*t^6.47*y)/g1^6 + (2*g2^14*t^7.52*y)/g1^24 + (g2^4*t^7.63*y)/g1^8 + (g2^9*t^7.74*y)/g1^14 + (4*g1^2*t^7.84*y)/g2 + (g1^18*t^7.95*y)/g2^11 + (g2^17*t^8.15*y)/g1^28 + (3*g2^7*t^8.26*y)/g1^12 + (2*g1^4*t^8.37*y)/g2^3 + (g2^2*t^8.47*y)/g1^2 - (g2^25*t^8.57*y)/g1^42 + (g1^14*t^8.58*y)/g2^8 - (2*g2^15*t^8.68*y)/g1^26 - (3*g2^5*t^8.79*y)/g1^10 + (g2^20*t^8.79*y)/g1^32 + (2*g2^10*t^8.89*y)/g1^16 |
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 |
|---|---|---|---|---|---|---|---|---|
| 761 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_3^2$ | 0.5673 | 0.7067 | 0.8027 | [X:[1.4481], M:[0.9104, 0.5519, 1.0, 0.8208, 1.0896], q:[0.8396, 0.75], qb:[0.25, 0.5188], phi:[0.4104]] | t^2.31 + 2*t^2.46 + t^2.73 + t^3. + t^3.27 + t^3.81 + t^4.08 + t^4.34 + t^4.61 + 3*t^4.77 + 3*t^4.92 + t^5.04 + t^5.19 + t^5.31 + 2*t^5.46 + t^5.58 + 2*t^5.73 - t^6. - t^4.23/y - t^4.23*y | detail | |
| 763 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_5M_6$ | 0.6052 | 0.7542 | 0.8024 | [X:[1.4621], M:[1.0006, 0.5379, 0.7674, 0.7686, 0.9994, 1.0006], q:[0.6912, 0.9245], qb:[0.3082, 0.5389], phi:[0.3843]] | t^2.3 + 2*t^2.31 + t^2.54 + 2*t^3. + t^3.69 + 2*t^4.39 + t^4.6 + 5*t^4.61 + t^4.84 + 3*t^4.85 + t^5.08 + t^5.3 + 3*t^5.31 + 2*t^5.54 + t^5.99 - t^4.15/y - t^4.15*y | detail | |
| 762 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.5879 | 0.7303 | 0.805 | [X:[1.6557], M:[0.9671, 0.3443, 0.7545, 0.6886, 1.0329], q:[0.7215, 0.9342], qb:[0.3114, 0.6557], phi:[0.3443]] | 2*t^2.07 + t^2.26 + 2*t^2.9 + t^3.1 + 4*t^4.13 + 2*t^4.33 + t^4.53 + t^4.77 + 5*t^4.97 + 3*t^5.16 + t^5.36 + 2*t^5.8 - 2*t^6. - t^4.03/y - t^4.03*y | detail | |
| 1857 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_6q_1\tilde{q}_2$ | 0.6236 | 0.7874 | 0.792 | [X:[1.4835], M:[1.0, 0.5165, 0.7583, 0.7583, 1.0, 0.7583], q:[0.6896, 0.9313], qb:[0.3104, 0.5522], phi:[0.3791]] | 4*t^2.27 + t^2.59 + 2*t^3. + 2*t^4.45 + 10*t^4.55 + 5*t^4.86 + t^5.18 + 6*t^5.27 + 2*t^5.59 - 2*t^6. - t^4.14/y - t^4.14*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 |
|---|---|---|---|---|---|---|---|---|---|
| 302 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.7102 | 0.9148 | 0.7763 | [X:[], M:[0.6894, 0.6991, 0.6894, 0.6926, 0.6862], q:[0.8268, 0.8268], qb:[0.4837, 0.4773], phi:[0.3463]] | t^2.06 + 2*t^2.07 + 2*t^2.08 + t^2.1 + t^2.88 + 2*t^3.91 + t^4.12 + 2*t^4.13 + 5*t^4.14 + 4*t^4.15 + 4*t^4.16 + 2*t^4.17 + 2*t^4.18 + t^4.19 + t^4.94 + 2*t^4.95 + 3*t^4.96 + t^4.98 + t^5.77 + 2*t^5.97 + 3*t^5.98 + 2*t^5.99 - 3*t^6. - t^4.04/y - t^4.04*y | detail |