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 |
|---|---|---|---|---|---|---|---|---|---|
| 3486 | 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_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ + $ M_7\phi_1q_1^2$ + $ M_4M_7$ | 0.6305 | 0.7796 | 0.8088 | [X:[1.6024], M:[0.8192, 1.2048, 0.7711, 1.1928, 0.3976, 0.8072, 0.8072], q:[0.3976, 0.7832], qb:[0.4096, 0.8192], phi:[0.3976]] | [X:[[1]], M:[[8], [2], [-12], [-3], [-1], [3], [3]], q:[[-1], [-7]], qb:[[4], [8]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ M_7$, $ M_1$, $ M_4$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_6$, $ M_3M_7$, $ \phi_1q_1q_2$, $ M_1M_3$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_6$, $ M_1M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3M_4$, $ \phi_1q_2^2$, $ M_2M_3$ | . | -1 | t^2.31 + 2*t^2.42 + t^2.46 + t^3.58 + 2*t^3.61 + 2*t^3.65 + t^4.63 + 2*t^4.74 + t^4.77 + t^4.81 + 3*t^4.84 + 2*t^4.88 + t^4.92 + t^5.89 + t^5.93 - t^6. + 3*t^6.04 + 5*t^6.07 + 2*t^6.11 + t^6.94 + 2*t^7.05 + t^7.08 + t^7.16 + 3*t^7.23 + 6*t^7.26 + 5*t^7.3 + 2*t^7.34 + t^7.37 + t^8.21 + t^8.24 - t^8.31 - 3*t^8.42 + t^8.46 + 6*t^8.49 + 5*t^8.53 + 2*t^8.57 - t^4.19/y - t^6.51/y - t^6.61/y - t^6.65/y + (3*t^7.74)/y + (2*t^7.77)/y + t^7.84/y + (3*t^7.88)/y - t^8.82/y + t^8.89/y + t^8.93/y + t^8.96/y - t^4.19*y - t^6.51*y - t^6.61*y - t^6.65*y + 3*t^7.74*y + 2*t^7.77*y + t^7.84*y + 3*t^7.88*y - t^8.82*y + t^8.89*y + t^8.93*y + t^8.96*y | t^2.31/g1^12 + 2*g1^3*t^2.42 + g1^8*t^2.46 + t^3.58/g1^3 + 2*g1^2*t^3.61 + 2*g1^7*t^3.65 + t^4.63/g1^24 + (2*t^4.74)/g1^9 + t^4.77/g1^4 + g1*t^4.81 + 3*g1^6*t^4.84 + 2*g1^11*t^4.88 + g1^16*t^4.92 + t^5.89/g1^15 + t^5.93/g1^10 - t^6. + 3*g1^5*t^6.04 + 5*g1^10*t^6.07 + 2*g1^15*t^6.11 + t^6.94/g1^36 + (2*t^7.05)/g1^21 + t^7.08/g1^16 + t^7.16/g1^6 + 3*g1^4*t^7.23 + 6*g1^9*t^7.26 + 5*g1^14*t^7.3 + 2*g1^19*t^7.34 + g1^24*t^7.37 + t^8.21/g1^27 + t^8.24/g1^22 - t^8.31/g1^12 - 3*g1^3*t^8.42 + g1^8*t^8.46 + 6*g1^13*t^8.49 + 5*g1^18*t^8.53 + 2*g1^23*t^8.57 - t^4.19/(g1*y) - t^6.51/(g1^13*y) - (g1^2*t^6.61)/y - (g1^7*t^6.65)/y + (3*t^7.74)/(g1^9*y) + (2*t^7.77)/(g1^4*y) + (g1^6*t^7.84)/y + (3*g1^11*t^7.88)/y - t^8.82/(g1^25*y) + t^8.89/(g1^15*y) + t^8.93/(g1^10*y) + t^8.96/(g1^5*y) - (t^4.19*y)/g1 - (t^6.51*y)/g1^13 - g1^2*t^6.61*y - g1^7*t^6.65*y + (3*t^7.74*y)/g1^9 + (2*t^7.77*y)/g1^4 + g1^6*t^7.84*y + 3*g1^11*t^7.88*y - (t^8.82*y)/g1^25 + (t^8.89*y)/g1^15 + (t^8.93*y)/g1^10 + (t^8.96*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5169 | $M_1q_1q_2$ + $ 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_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ + $ M_7\phi_1q_1^2$ + $ M_4M_7$ + $ M_4M_8$ | 0.6467 | 0.8084 | 0.8 | [X:[1.6014], M:[0.8114, 1.2028, 0.7829, 1.1957, 0.3986, 0.8043, 0.8043, 0.8043], q:[0.3986, 0.79], qb:[0.4057, 0.8114], phi:[0.3986]] | t^2.35 + 3*t^2.41 + t^2.43 + 2*t^3.61 + 2*t^3.63 + t^4.7 + 3*t^4.76 + t^4.78 + t^4.8 + 6*t^4.83 + 3*t^4.85 + t^4.87 + t^5.96 - 3*t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2902 | 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_4M_6$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ + $ M_7\phi_1q_1^2$ | 0.6388 | 0.7919 | 0.8066 | [X:[1.6177], M:[0.7844, 1.2353, 0.7449, 1.147, 0.3823, 0.853, 0.696], q:[0.4608, 0.7548], qb:[0.3922, 0.8629], phi:[0.3823]] | t^2.09 + t^2.23 + t^2.35 + t^2.56 + t^3.44 + t^3.5 + 2*t^3.71 + t^3.97 + t^4.18 + t^4.32 + t^4.44 + t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.79 + t^4.85 + t^4.91 + t^5.12 + t^5.53 + t^5.59 + t^5.68 + 2*t^5.79 + t^5.85 + t^5.94 - 2*t^6. - t^4.15/y - t^4.15*y | detail |