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 |
|---|---|---|---|---|---|---|---|---|---|
| 1310 | 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$ + $ 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]] | [X:[], M:[[6, 1], [-2, 0], [-2, -1], [2, 1], [2, -1], [0, 0], [2, 1]], 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 |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_4$, $ M_7$, $ M_6$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_1^2$, $ \phi_1q_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_4$, $ M_1M_7$, $ M_4M_5$, $ M_5M_7$, $ M_1M_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_2M_5$, $ M_4M_6$, $ M_6M_7$ | . | -3 | 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^6.08 + 2*t^6.13 - t^6.17 + t^6.21 + t^6.34 + t^6.46 - t^6.51 + t^6.62 + t^6.64 + t^6.8 + t^6.85 + 2*t^6.88 + 2*t^6.97 + t^7.13 + t^7.14 + 2*t^7.23 + 3*t^7.31 + 2*t^7.39 + t^7.47 + t^7.48 + 2*t^7.57 + 2*t^7.64 + 2*t^7.65 + 3*t^7.74 + t^7.8 + t^7.82 + 3*t^7.9 + t^7.93 + t^7.97 + t^8.06 + t^8.08 - t^8.15 + t^8.19 + t^8.23 + t^8.25 + t^8.28 + 2*t^8.32 + 2*t^8.36 + t^8.41 + t^8.44 - 3*t^8.49 + t^8.52 - 2*t^8.57 + 3*t^8.62 - 4*t^8.66 + t^8.7 + 2*t^8.75 + 3*t^8.79 - t^8.82 + t^8.87 - 7*t^8.92 + 2*t^8.95 + t^8.97 - t^4.39/y - t^6.88/y - t^7.05/y - t^7.31/y + t^7.48/y + t^7.74/y + t^7.9/y + t^8.15/y + (2*t^8.41)/y + t^8.49/y + (2*t^8.57)/y + t^8.66/y + t^8.7/y + t^8.83/y + t^8.87/y + (3*t^8.92)/y - t^4.39*y - t^6.88*y - t^7.05*y - t^7.31*y + t^7.48*y + t^7.74*y + t^7.9*y + t^8.15*y + 2*t^8.41*y + t^8.49*y + 2*t^8.57*y + t^8.66*y + t^8.7*y + t^8.83*y + t^8.87*y + 3*t^8.92*y | g1^6*g2*t^2.49 + (g1^2*t^2.66)/g2 + 2*g1^2*g2*t^2.92 + t^3. + t^3.21/g1^2 + t^3.43/g1^4 + g1^5*t^3.97 + g1^3*g2*t^4.31 + g1*t^4.39 + t^4.48/(g1*g2) + g1*g2^2*t^4.65 + (g2*t^4.74)/g1 + (2*t^4.82)/g1^3 + t^4.9/(g1^5*g2) + g1^12*g2^2*t^4.98 + t^4.99/(g1^7*g2^2) + g1^8*t^5.15 + (g1^4*t^5.31)/g2^2 + 2*g1^8*g2^2*t^5.41 + g1^4*t^5.57 + g1^4*g2*t^5.7 + 2*g1^4*g2^2*t^5.83 + t^5.87/g2 + g1^2*g2*t^5.92 - 3*t^6. - t^6.08/(g1^2*g2) + 2*g2*t^6.13 - t^6.17/(g1^4*g2^2) + t^6.21/g1^2 + (g2*t^6.34)/g1^2 + g1^11*g2*t^6.46 - t^6.51/(g1^6*g2) + (g1^7*t^6.62)/g2 + t^6.64/g1^6 + g1^9*g2^2*t^6.8 + t^6.85/g1^8 + 2*g1^7*g2*t^6.88 + 2*g1^5*t^6.97 + (g1*t^7.13)/g2^2 + g1^7*g2^3*t^7.14 + 2*g1^5*g2^2*t^7.23 + 3*g1^3*g2*t^7.31 + 2*g1*t^7.39 + g1^18*g2^3*t^7.47 + t^7.48/(g1*g2) + 2*g1^3*g2^3*t^7.57 + t^7.64/(g1^5*g2^3) + g1^14*g2*t^7.64 + 2*g1*g2^2*t^7.65 + (3*g2*t^7.74)/g1 + (g1^10*t^7.8)/g2 + t^7.82/g1^3 + t^7.9/(g1^5*g2) + 2*g1^14*g2^3*t^7.9 + g1^10*t^7.93 + (g1^6*t^7.97)/g2^3 + g1^10*g2*t^8.06 + (g2^2*t^8.08)/g1^3 - g1^8*t^8.15 + g1^10*g2^2*t^8.19 + (g1^6*t^8.23)/g2 + t^8.25/g1^7 + g1^8*g2*t^8.28 + 2*g1^10*g2^3*t^8.32 + 2*g1^6*t^8.36 + t^8.41/(g1^11*g2^2) + (g1^4*t^8.44)/g2 - 3*g1^6*g2*t^8.49 + (g1^2*t^8.52)/g2^2 - 2*g1^4*t^8.57 + 3*g1^6*g2^2*t^8.62 - (4*g1^2*t^8.66)/g2 + g1^4*g2*t^8.7 + 2*g1^6*g2^3*t^8.75 + 3*g1^2*t^8.79 - t^8.82/(g1^2*g2^3) + t^8.87/g2 - 7*g1^2*g2*t^8.92 + t^8.95/(g1^2*g2^2) + g1^17*g2^2*t^8.95 + g1^4*g2^3*t^8.97 - (g1*t^4.39)/y - (g1^7*g2*t^6.88)/y - (g1^3*t^7.05)/(g2*y) - (g1^3*g2*t^7.31)/y + t^7.48/(g1*g2*y) + (g2*t^7.74)/(g1*y) + t^7.9/(g1^5*g2*y) + (g1^8*t^8.15)/y + (2*g1^8*g2^2*t^8.41)/y + (g1^6*g2*t^8.49)/y + (2*g1^4*t^8.57)/y + (g1^2*t^8.66)/(g2*y) + (g1^4*g2*t^8.7)/y + (g1^4*g2^2*t^8.83)/y + t^8.87/(g2*y) + (3*g1^2*g2*t^8.92)/y - g1*t^4.39*y - g1^7*g2*t^6.88*y - (g1^3*t^7.05*y)/g2 - g1^3*g2*t^7.31*y + (t^7.48*y)/(g1*g2) + (g2*t^7.74*y)/g1 + (t^7.9*y)/(g1^5*g2) + g1^8*t^8.15*y + 2*g1^8*g2^2*t^8.41*y + g1^6*g2*t^8.49*y + 2*g1^4*t^8.57*y + (g1^2*t^8.66*y)/g2 + g1^4*g2*t^8.7*y + g1^4*g2^2*t^8.83*y + (t^8.87*y)/g2 + 3*g1^2*g2*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 2333 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.5882 | 0.727 | 0.8091 | [X:[1.5933], M:[0.4067, 1.1865, 1.2202, 0.7798, 0.8471, 1.0, 0.7798], q:[0.9067, 0.6865], qb:[0.3135, 0.4664], phi:[0.4067]] | 2*t^2.34 + t^2.54 + t^3. + t^3.1 + 2*t^3.56 + t^4.02 + t^4.12 + 3*t^4.68 + t^4.78 + 2*t^4.88 + t^5.08 + 2*t^5.34 + t^5.44 + t^5.64 + 3*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^4.39/y - t^4.39*y | detail |