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 |
|---|---|---|---|---|---|---|---|---|---|
| 830 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ | 0.7124 | 0.8709 | 0.818 | [X:[], M:[0.8576, 1.0712, 1.0, 1.0, 0.8576, 1.0], q:[0.5712, 0.5712], qb:[0.4288, 0.5712], phi:[0.4644]] | [X:[], M:[[6, 1], [-2, 0], [-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 |
|---|---|---|---|---|
| $M_5$, $ M_1$, $ M_3$, $ M_4$, $ M_6$, $ M_3$, $ M_4$, $ M_2$, $ 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_5$, $ M_5^2$, $ M_1^2$, $ M_1M_3$, $ M_4M_5$, $ M_3M_5$, $ M_1M_4$, $ M_2M_5$, $ M_1M_2$ | $M_3^2$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_5q_1\tilde{q}_2$ | -2 | 2*t^2.57 + 3*t^3. + t^3.21 + t^3.43 + t^3.97 + 3*t^4.39 + 6*t^4.82 + 3*t^5.15 + 3*t^5.57 + 2*t^5.79 - 2*t^6. + 3*t^6.21 + 2*t^6.54 + t^6.64 + t^6.85 + 6*t^6.97 + 10*t^7.39 + 4*t^7.72 + 9*t^7.82 + t^7.93 + 3*t^8.15 + 3*t^8.25 + 6*t^8.36 - 8*t^8.57 + 9*t^8.79 - t^4.39/y - (2*t^6.97)/y + (2*t^7.82)/y + t^8.15/y + (6*t^8.57)/y + (2*t^8.79)/y - t^4.39*y - 2*t^6.97*y + 2*t^7.82*y + t^8.15*y + 6*t^8.57*y + 2*t^8.79*y | (g1^2*t^2.57)/g2 + g1^6*g2*t^2.57 + t^3. + t^3./(g1^2*g2) + g1^2*g2*t^3. + t^3.21/g1^2 + t^3.43/g1^4 + g1^5*t^3.97 + g1*t^4.39 + t^4.39/(g1*g2) + g1^3*g2*t^4.39 + (2*t^4.82)/g1^3 + t^4.82/(g1^7*g2^2) + t^4.82/(g1^5*g2) + (g2*t^4.82)/g1 + g1*g2^2*t^4.82 + g1^8*t^5.15 + (g1^4*t^5.15)/g2^2 + g1^12*g2^2*t^5.15 + g1^4*t^5.57 + t^5.57/g2^2 + g1^8*g2^2*t^5.57 + t^5.79/g2 + g1^4*g2*t^5.79 - 2*t^6. + t^6.21/g1^2 + t^6.21/(g1^4*g2) + g2*t^6.21 + (g1^7*t^6.54)/g2 + g1^11*g2*t^6.54 + t^6.64/g1^6 + t^6.85/g1^8 + 2*g1^5*t^6.97 + (g1*t^6.97)/g2^2 + (g1^3*t^6.97)/g2 + g1^7*g2*t^6.97 + g1^9*g2^2*t^6.97 + 2*g1*t^7.39 + t^7.39/(g1^5*g2^3) + t^7.39/(g1^3*g2^2) + (2*t^7.39)/(g1*g2) + 2*g1^3*g2*t^7.39 + g1^5*g2^2*t^7.39 + g1^7*g2^3*t^7.39 + (g1^6*t^7.72)/g2^3 + (g1^10*t^7.72)/g2 + g1^14*g2*t^7.72 + g1^18*g2^3*t^7.72 + t^7.82/g1^3 + t^7.82/(g1^9*g2^3) + t^7.82/(g1^7*g2^2) + (2*t^7.82)/(g1^5*g2) + (2*g2*t^7.82)/g1 + g1*g2^2*t^7.82 + g1^3*g2^3*t^7.82 + g1^10*t^7.93 - g1^8*t^8.15 + (g1^2*t^8.15)/g2^3 + (g1^6*t^8.15)/g2 + g1^10*g2*t^8.15 + g1^14*g2^3*t^8.15 + t^8.25/g1^7 + t^8.25/(g1^11*g2^2) + (g2^2*t^8.25)/g1^3 + 2*g1^6*t^8.36 + (g1^2*t^8.36)/g2^2 + (g1^4*t^8.36)/g2 + g1^8*g2*t^8.36 + g1^10*g2^2*t^8.36 - 2*g1^4*t^8.57 - (3*g1^2*t^8.57)/g2 - 3*g1^6*g2*t^8.57 + 3*g1^2*t^8.79 + (2*t^8.79)/(g1^2*g2^2) + t^8.79/g2 + g1^4*g2*t^8.79 + 2*g1^6*g2^2*t^8.79 - (g1*t^4.39)/y - (g1^3*t^6.97)/(g2*y) - (g1^7*g2*t^6.97)/y + t^7.82/(g1^5*g2*y) + (g2*t^7.82)/(g1*y) + (g1^8*t^8.15)/y + (2*g1^4*t^8.57)/y + t^8.57/(g2^2*y) + (g1^2*t^8.57)/(g2*y) + (g1^6*g2*t^8.57)/y + (g1^8*g2^2*t^8.57)/y + t^8.79/(g2*y) + (g1^4*g2*t^8.79)/y - g1*t^4.39*y - (g1^3*t^6.97*y)/g2 - g1^7*g2*t^6.97*y + (t^7.82*y)/(g1^5*g2) + (g2*t^7.82*y)/g1 + g1^8*t^8.15*y + 2*g1^4*t^8.57*y + (t^8.57*y)/g2^2 + (g1^2*t^8.57*y)/g2 + g1^6*g2*t^8.57*y + g1^8*g2^2*t^8.57*y + (t^8.79*y)/g2 + g1^4*g2*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 1310 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_3M_7$ | 0.7137 | 0.8739 | 0.8167 | [X:[], M:[0.83, 1.0712, 1.0276, 0.9724, 0.8852, 1.0, 0.9724], q:[0.5988, 0.5712], qb:[0.4288, 0.5436], phi:[0.4644]] | t^2.49 + t^2.66 + 2*t^2.92 + t^3. + t^3.21 + t^3.43 + t^3.97 + t^4.31 + t^4.39 + t^4.48 + t^4.65 + t^4.74 + 2*t^4.82 + t^4.9 + t^4.98 + t^4.99 + t^5.15 + t^5.31 + 2*t^5.41 + t^5.57 + t^5.7 + 2*t^5.83 + t^5.87 + t^5.92 - 3*t^6. - t^4.39/y - t^4.39*y | detail | |
| 1314 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.7332 | 0.912 | 0.804 | [X:[], M:[0.8602, 1.0699, 1.0, 1.0, 0.8602, 1.0, 0.6748], q:[0.5699, 0.5699], qb:[0.4301, 0.5699], phi:[0.465]] | t^2.02 + 2*t^2.58 + 3*t^3. + t^3.21 + t^3.42 + t^4.05 + 3*t^4.4 + 2*t^4.6 + 6*t^4.81 + 3*t^5.02 + 3*t^5.16 + t^5.23 + t^5.44 + 3*t^5.58 + 2*t^5.79 - 2*t^6. - t^4.4/y - t^4.4*y | detail | |
| 1313 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7q_1\tilde{q}_2$ | 0.7261 | 0.8959 | 0.8105 | [X:[], M:[0.8268, 1.0866, 1.0, 1.0, 0.8268, 1.0, 0.8268], q:[0.5866, 0.5866], qb:[0.4134, 0.5866], phi:[0.4567]] | 3*t^2.48 + 3*t^3. + t^3.26 + t^3.85 + 3*t^4.37 + 6*t^4.89 + 6*t^4.96 + 6*t^5.48 + 3*t^5.74 - 4*t^6. - t^4.37/y - t^4.37*y | detail | |
| 2011 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.5708 | 0.6958 | 0.8203 | [X:[1.5954], M:[0.4046, 1.1909, 1.2137, 0.7863, 0.832, 1.0], q:[0.9046, 0.6909], qb:[0.3091, 0.4772], phi:[0.4046]] | t^2.36 + t^2.5 + t^3. + t^3.07 + 2*t^3.57 + t^3.64 + t^4.08 + t^4.15 + t^4.72 + t^4.79 + t^4.85 + t^4.99 + t^5.36 + t^5.56 + t^5.93 - t^6. - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 534 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ | 0.7331 | 0.8939 | 0.8201 | [X:[], M:[0.8539, 1.1461, 0.8539, 0.8539, 0.8539, 1.0], q:[0.6461, 0.5], qb:[0.5, 0.6461], phi:[0.427]] | 4*t^2.56 + t^3. + t^3.44 + t^3.88 + 3*t^4.28 + 4*t^4.72 + 10*t^5.12 + 3*t^5.16 - 3*t^6. - t^4.28/y - t^4.28*y | detail |