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 |
|---|---|---|---|---|---|---|---|---|---|
| 411 | 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_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ | 0.6814 | 0.8416 | 0.8096 | [X:[], M:[0.9657, 1.1263, 0.9657, 0.6895, 0.8737], q:[0.7816, 0.4368], qb:[0.5974, 0.4368], phi:[0.4368]] | [X:[], M:[[-7, 1], [4, 0], [-11, -1], [6, 0], [-4, 0]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_1M_4$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_4q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_1M_3$, $ M_3^2$, $ M_1^2$ | $M_4\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_2^2$ | -3 | t^2.07 + 2*t^2.62 + 2*t^2.9 + 2*t^3.66 + 2*t^3.93 + 2*t^4.14 + 2*t^4.41 + 2*t^4.69 + t^4.9 + 2*t^4.97 + 3*t^5.24 + 2*t^5.52 + 2*t^5.72 + 3*t^5.79 - 3*t^6. + 2*t^6.21 + 2*t^6.28 + 7*t^6.55 + 2*t^6.76 + 2*t^6.83 + t^6.96 + 4*t^7.03 + 3*t^7.31 + t^7.52 + 4*t^7.59 + 2*t^7.79 + 9*t^7.86 - t^8.07 + 2*t^8.14 + 2*t^8.27 + 2*t^8.34 + 3*t^8.42 + 2*t^8.55 - 3*t^8.62 + 4*t^8.69 + 3*t^8.83 - 4*t^8.9 - t^4.31/y - t^6.38/y - t^6.93/y - (2*t^7.21)/y + (2*t^7.41)/y + (3*t^7.69)/y + (2*t^7.97)/y + (2*t^8.24)/y - t^8.45/y + (4*t^8.52)/y + (2*t^8.72)/y + t^8.79/y - t^4.31*y - t^6.38*y - t^6.93*y - 2*t^7.21*y + 2*t^7.41*y + 3*t^7.69*y + 2*t^7.97*y + 2*t^8.24*y - t^8.45*y + 4*t^8.52*y + 2*t^8.72*y + t^8.79*y | g1^6*t^2.07 + (2*t^2.62)/g1^4 + t^2.9/(g1^11*g2) + (g2*t^2.9)/g1^7 + t^3.66/(g1^3*g2) + g1*g2*t^3.66 + t^3.93/(g1^10*g2^2) + (g2^2*t^3.93)/g1^2 + 2*g1^12*t^4.14 + (g1^5*t^4.41)/g2 + g1^9*g2*t^4.41 + 2*g1^2*t^4.69 + g1^20*t^4.9 + t^4.97/(g1^5*g2) + (g2*t^4.97)/g1 + (3*t^5.24)/g1^8 + t^5.52/(g1^15*g2) + (g2*t^5.52)/g1^11 + (g1^3*t^5.72)/g2 + g1^7*g2*t^5.72 + t^5.79/g1^18 + t^5.79/(g1^22*g2^2) + (g2^2*t^5.79)/g1^14 - 3*t^6. + 2*g1^18*t^6.21 + t^6.28/(g1^7*g2) + (g2*t^6.28)/g1^3 + t^6.55/g1^10 + (3*t^6.55)/(g1^14*g2^2) + (3*g2^2*t^6.55)/g1^6 + 2*g1^8*t^6.76 + t^6.83/(g1^21*g2^3) + (g2^3*t^6.83)/g1^9 + g1^26*t^6.96 + (2*g1*t^7.03)/g2 + 2*g1^5*g2*t^7.03 + (3*t^7.31)/g1^2 + g1^16*t^7.52 + t^7.59/(g1^13*g2^3) + t^7.59/(g1^9*g2) + (g2*t^7.59)/g1^5 + (g2^3*t^7.59)/g1 + (g1^9*t^7.79)/g2 + g1^13*g2*t^7.79 + (5*t^7.86)/g1^12 + t^7.86/(g1^20*g2^4) + t^7.86/(g1^16*g2^2) + (g2^2*t^7.86)/g1^8 + (g2^4*t^7.86)/g1^4 - 3*g1^6*t^8.07 + (g1^2*t^8.07)/g2^2 + g1^10*g2^2*t^8.07 + t^8.14/(g1^19*g2) + (g2*t^8.14)/g1^15 + 2*g1^24*t^8.27 + t^8.34/(g1^5*g2^3) + g1^7*g2^3*t^8.34 + t^8.42/g1^22 + t^8.42/(g1^26*g2^2) + (g2^2*t^8.42)/g1^18 + (g1^17*t^8.55)/g2 + g1^21*g2*t^8.55 - (5*t^8.62)/g1^4 + t^8.62/(g1^8*g2^2) + g2^2*t^8.62 + t^8.69/(g1^33*g2^3) + t^8.69/(g1^29*g2) + (g2*t^8.69)/g1^25 + (g2^3*t^8.69)/g1^21 + g1^14*t^8.83 + (g1^10*t^8.83)/g2^2 + g1^18*g2^2*t^8.83 - (2*t^8.9)/(g1^11*g2) - (2*g2*t^8.9)/g1^7 - t^4.31/(g1^2*y) - (g1^4*t^6.38)/y - t^6.93/(g1^6*y) - t^7.21/(g1^13*g2*y) - (g2*t^7.21)/(g1^9*y) + (g1^5*t^7.41)/(g2*y) + (g1^9*g2*t^7.41)/y + (3*g1^2*t^7.69)/y + t^7.97/(g1^5*g2*y) + (g2*t^7.97)/(g1*y) + (2*t^8.24)/(g1^8*y) - (g1^10*t^8.45)/y + (2*t^8.52)/(g1^15*g2*y) + (2*g2*t^8.52)/(g1^11*y) + (g1^3*t^8.72)/(g2*y) + (g1^7*g2*t^8.72)/y + t^8.79/(g1^18*y) - (t^4.31*y)/g1^2 - g1^4*t^6.38*y - (t^6.93*y)/g1^6 - (t^7.21*y)/(g1^13*g2) - (g2*t^7.21*y)/g1^9 + (g1^5*t^7.41*y)/g2 + g1^9*g2*t^7.41*y + 3*g1^2*t^7.69*y + (t^7.97*y)/(g1^5*g2) + (g2*t^7.97*y)/g1 + (2*t^8.24*y)/g1^8 - g1^10*t^8.45*y + (2*t^8.52*y)/(g1^15*g2) + (2*g2*t^8.52*y)/g1^11 + (g1^3*t^8.72*y)/g2 + g1^7*g2*t^8.72*y + (t^8.79*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 661 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_4q_1q_2$ | 0.6695 | 0.8304 | 0.8062 | [X:[], M:[0.8506, 1.1494, 0.977, 0.7241, 0.8506], q:[0.7874, 0.4885], qb:[0.6609, 0.3621], phi:[0.4253]] | t^2.17 + 3*t^2.55 + t^2.93 + 2*t^3.45 + t^3.83 + t^4.21 + 3*t^4.34 + 4*t^4.72 + 6*t^5.1 + t^5.24 + 2*t^5.48 + t^5.62 + t^5.86 + 3*t^6. - t^4.28/y - t^4.28*y | detail | |
| 663 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ | 0.7021 | 0.8823 | 0.7958 | [X:[], M:[0.9637, 1.1255, 0.9715, 0.6883, 0.8745, 0.6805], q:[0.7814, 0.4411], qb:[0.5951, 0.4334], phi:[0.4372]] | t^2.04 + t^2.06 + 2*t^2.62 + t^2.89 + t^2.91 + t^3.64 + t^3.67 + t^3.91 + t^4.08 + t^4.11 + 2*t^4.13 + t^4.4 + t^4.42 + 2*t^4.66 + 2*t^4.69 + t^4.88 + t^4.93 + 2*t^4.96 + t^4.98 + 3*t^5.25 + t^5.51 + t^5.54 + t^5.69 + 2*t^5.71 + t^5.73 + t^5.78 + t^5.81 + t^5.83 + t^5.95 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
| 662 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6993 | 0.8739 | 0.8002 | [X:[], M:[0.9803, 1.1254, 0.9554, 0.6881, 0.8746, 0.7689], q:[0.7813, 0.4248], qb:[0.5948, 0.4498], phi:[0.4373]] | t^2.06 + t^2.31 + 2*t^2.62 + t^2.87 + t^2.94 + t^3.62 + t^3.86 + t^4.01 + 2*t^4.13 + 2*t^4.37 + t^4.45 + t^4.61 + 2*t^4.69 + t^4.88 + 3*t^4.93 + t^5.01 + t^5.17 + 4*t^5.25 + t^5.49 + t^5.56 + t^5.68 + t^5.73 + t^5.81 + t^5.88 + t^5.93 - 3*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 262 | 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_4\phi_1q_2\tilde{q}_2$ | 0.6704 | 0.8228 | 0.8147 | [X:[], M:[0.979, 1.1205, 0.979, 0.6807], q:[0.7801, 0.4398], qb:[0.5813, 0.4398], phi:[0.4398]] | t^2.04 + t^2.64 + 2*t^2.94 + t^3.36 + 2*t^3.66 + 2*t^3.96 + 2*t^4.08 + 2*t^4.38 + t^4.68 + t^4.81 + 2*t^4.98 + t^5.28 + t^5.4 + 2*t^5.7 + 3*t^5.87 - 2*t^6. - t^4.32/y - t^4.32*y | detail |