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 |
|---|---|---|---|---|---|---|---|---|---|
| 4187 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ + $ M_1M_7$ + $ M_8\phi_1^2$ | 0.6703 | 0.8361 | 0.8016 | [X:[], M:[1.0249, 1.0692, 1.1634, 0.8366, 0.7424, 0.7923, 0.9751, 1.0692], q:[0.7673, 0.5346], qb:[0.4404, 0.3961], phi:[0.4654]] | [X:[], M:[[13], [-4], [5], [-5], [-14], [12], [-13], [-4]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_4$, $ M_7$, $ M_2$, $ M_8$, $ M_3$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_5M_6$, $ \phi_1q_2^2$, $ M_4M_5$, $ M_6^2$, $ M_4M_6$, $ M_4^2$, $ M_5M_7$, $ M_6M_7$, $ M_2M_5$, $ M_4M_7$, $ M_5M_8$, $ M_2M_6$, $ M_6M_8$, $ M_2M_4$, $ M_3M_5$, $ M_4M_8$, $ M_7^2$ | . | -2 | t^2.23 + t^2.38 + t^2.51 + t^2.93 + 2*t^3.21 + t^3.49 + 2*t^3.91 + t^4.04 + t^4.19 + t^4.32 + t^4.45 + 2*t^4.6 + t^4.74 + t^4.75 + t^4.89 + t^5.02 + t^5.15 + t^5.3 + 3*t^5.43 + t^5.58 + 2*t^5.72 + t^5.85 - 2*t^6. + 3*t^6.13 + t^6.27 + 5*t^6.42 + 2*t^6.55 + t^6.57 + t^6.68 + t^6.7 + 4*t^6.83 + 2*t^6.96 + 3*t^7.11 + t^7.13 + 3*t^7.25 + t^7.38 + t^7.4 + 3*t^7.53 + 3*t^7.66 + 3*t^7.81 + 4*t^7.94 + t^7.96 + 2*t^8.08 + 5*t^8.36 - 3*t^8.38 + t^8.49 - t^8.51 + 6*t^8.64 + 3*t^8.78 + 2*t^8.79 + t^8.91 + t^8.93 + t^8.94 - t^4.4/y - t^6.62/y - t^6.77/y + t^7.19/y + t^7.74/y + t^7.89/y + t^8.02/y + t^8.15/y + t^8.17/y + t^8.3/y + (3*t^8.43)/y + (2*t^8.58)/y + (3*t^8.72)/y - t^8.85/y + t^8.87/y - t^4.4*y - t^6.62*y - t^6.77*y + t^7.19*y + t^7.74*y + t^7.89*y + t^8.02*y + t^8.15*y + t^8.17*y + t^8.3*y + 3*t^8.43*y + 2*t^8.58*y + 3*t^8.72*y - t^8.85*y + t^8.87*y | t^2.23/g1^14 + g1^12*t^2.38 + t^2.51/g1^5 + t^2.93/g1^13 + (2*t^3.21)/g1^4 + g1^5*t^3.49 + (2*t^3.91)/g1^3 + t^4.04/g1^20 + g1^6*t^4.19 + t^4.32/g1^11 + t^4.45/g1^28 + (2*t^4.6)/g1^2 + t^4.74/g1^19 + g1^24*t^4.75 + g1^7*t^4.89 + t^5.02/g1^10 + t^5.15/g1^27 + t^5.3/g1 + (3*t^5.43)/g1^18 + g1^8*t^5.58 + (2*t^5.72)/g1^9 + t^5.85/g1^26 - 2*t^6. + (3*t^6.13)/g1^17 + t^6.27/g1^34 + (5*t^6.42)/g1^8 + (2*t^6.55)/g1^25 + g1^18*t^6.57 + t^6.68/g1^42 + g1*t^6.7 + (4*t^6.83)/g1^16 + (2*t^6.96)/g1^33 + (3*t^7.11)/g1^7 + g1^36*t^7.13 + (3*t^7.25)/g1^24 + t^7.38/g1^41 + g1^2*t^7.4 + (3*t^7.53)/g1^15 + (3*t^7.66)/g1^32 + (3*t^7.81)/g1^6 + (4*t^7.94)/g1^23 + g1^20*t^7.96 + (2*t^8.08)/g1^40 + (5*t^8.36)/g1^31 - 3*g1^12*t^8.38 + t^8.49/g1^48 - t^8.51/g1^5 + (6*t^8.64)/g1^22 + (3*t^8.78)/g1^39 + 2*g1^4*t^8.79 + t^8.91/g1^56 + t^8.93/g1^13 + g1^30*t^8.94 - (g1^2*t^4.4)/y - t^6.62/(g1^12*y) - (g1^14*t^6.77)/y + (g1^6*t^7.19)/y + t^7.74/(g1^19*y) + (g1^7*t^7.89)/y + t^8.02/(g1^10*y) + t^8.15/(g1^27*y) + (g1^16*t^8.17)/y + t^8.3/(g1*y) + (3*t^8.43)/(g1^18*y) + (2*g1^8*t^8.58)/y + (3*t^8.72)/(g1^9*y) - t^8.85/(g1^26*y) + (g1^17*t^8.87)/y - g1^2*t^4.4*y - (t^6.62*y)/g1^12 - g1^14*t^6.77*y + g1^6*t^7.19*y + (t^7.74*y)/g1^19 + g1^7*t^7.89*y + (t^8.02*y)/g1^10 + (t^8.15*y)/g1^27 + g1^16*t^8.17*y + (t^8.3*y)/g1 + (3*t^8.43*y)/g1^18 + 2*g1^8*t^8.58*y + (3*t^8.72*y)/g1^9 - (t^8.85*y)/g1^26 + g1^17*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 5690 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ + $ M_1M_7$ + $ M_8\phi_1^2$ + $ M_7M_9$ | 0.6696 | 0.8327 | 0.8041 | [X:[], M:[0.9893, 1.0802, 1.1497, 0.8503, 0.7808, 0.7594, 1.0107, 1.0802, 0.9893], q:[0.7701, 0.5401], qb:[0.4706, 0.3797], phi:[0.4599]] | t^2.28 + t^2.34 + t^2.55 + t^2.97 + 2*t^3.24 + t^3.45 + 2*t^3.93 + t^4.14 + t^4.2 + t^4.41 + t^4.56 + 2*t^4.62 + t^4.68 + t^4.83 + t^4.89 + t^5.1 + t^5.25 + t^5.31 + 2*t^5.52 + 2*t^5.58 + 2*t^5.79 + t^5.94 - 2*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2193 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ + $ M_1M_7$ | 0.6768 | 0.8462 | 0.7998 | [X:[], M:[1.0146, 1.0724, 1.1595, 0.8405, 0.7535, 0.7827, 0.9854], q:[0.7681, 0.5362], qb:[0.4492, 0.3914], phi:[0.4638]] | t^2.26 + t^2.35 + t^2.52 + t^2.78 + t^2.96 + t^3.22 + t^3.48 + 2*t^3.91 + t^4.09 + t^4.17 + t^4.35 + t^4.52 + 2*t^4.61 + t^4.7 + t^4.78 + t^4.87 + 2*t^5.04 + t^5.13 + t^5.22 + 2*t^5.3 + 2*t^5.48 + t^5.57 + 2*t^5.74 + t^5.91 - t^6. - t^4.39/y - t^4.39*y | detail |