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 |
|---|---|---|---|---|---|---|---|---|---|
| 2894 | 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_3M_5$ + $ M_3M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7q_2\tilde{q}_1$ | 0.6343 | 0.7843 | 0.8087 | [X:[1.6105], M:[0.3895, 1.2211, 1.1684, 0.7262, 0.8316, 0.8316, 0.7684], q:[0.8264, 0.7842], qb:[0.4474, 0.3842], phi:[0.3895]] | [X:[[0, 1]], M:[[0, -1], [0, 2], [0, -3], [0, -7], [0, 3], [0, 3], [2, 0]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_5$, $ M_6$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_4M_5$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_7$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1\tilde{q}_2^2$, $ M_7\phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_2M_7$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_6\phi_1\tilde{q}_2^2$ | . | -3 | t^2.18 + t^2.31 + 2*t^2.49 + t^3.47 + t^3.63 + 2*t^3.66 + t^3.85 + t^4.36 + t^4.48 + t^4.61 + 2*t^4.67 + 2*t^4.8 + t^4.83 + 3*t^4.99 + t^5.65 + t^5.78 + t^5.84 + t^5.94 + 3*t^5.97 - 3*t^6. + 2*t^6.13 + 4*t^6.16 - t^6.19 + 2*t^6.35 + t^6.54 + t^6.66 + t^6.79 + 2*t^6.85 + t^6.92 + t^6.95 + t^6.98 + 3*t^7.11 + t^7.14 - t^7.2 + t^7.26 + 4*t^7.29 + 2*t^7.33 - 2*t^7.36 + 4*t^7.48 + t^7.52 + t^7.71 + t^7.83 + t^7.96 + t^8.02 + t^8.08 + 2*t^8.15 - 3*t^8.18 + t^8.24 + 3*t^8.27 - 3*t^8.31 + t^8.34 - t^8.37 + 2*t^8.43 + 5*t^8.46 - 7*t^8.49 - t^8.53 + 3*t^8.62 + 5*t^8.65 - 2*t^8.68 + t^8.71 + 4*t^8.84 + t^8.97 - t^4.17/y - t^6.35/y - t^6.47/y - t^6.66/y + t^7.48/y + (3*t^7.67)/y + (2*t^7.8)/y + t^7.86/y + (2*t^7.99)/y - t^8.53/y + t^8.81/y + t^8.84/y + t^8.94/y + (3*t^8.97)/y - t^4.17*y - t^6.35*y - t^6.47*y - t^6.66*y + t^7.48*y + 3*t^7.67*y + 2*t^7.8*y + t^7.86*y + 2*t^7.99*y - t^8.53*y + t^8.81*y + t^8.84*y + t^8.94*y + 3*t^8.97*y | t^2.18/g2^7 + g1^2*t^2.31 + 2*g2^3*t^2.49 + (g1^2*t^3.47)/g2 + g1^2*g2^4*t^3.63 + 2*g2^2*t^3.66 + (g2^5*t^3.85)/g1^2 + t^4.36/g2^14 + (g1^2*t^4.48)/g2^7 + g1^4*t^4.61 + (2*t^4.67)/g2^4 + 2*g1^2*g2^3*t^4.8 + g2*t^4.83 + 3*g2^6*t^4.99 + (g1^2*t^5.65)/g2^8 + (g1^4*t^5.78)/g2 + t^5.84/g2^5 + g1^4*g2^4*t^5.94 + 3*g1^2*g2^2*t^5.97 - 3*t^6. + 2*g1^2*g2^7*t^6.13 + 4*g2^5*t^6.16 - (g2^3*t^6.19)/g1^2 + (2*g2^8*t^6.35)/g1^2 + t^6.54/g2^21 + (g1^2*t^6.66)/g2^14 + (g1^4*t^6.79)/g2^7 + (2*t^6.85)/g2^11 + g1^6*t^6.92 + (g1^4*t^6.95)/g2^2 + (g1^2*t^6.98)/g2^4 + 3*g1^4*g2^3*t^7.11 + g1^2*g2*t^7.14 - t^7.2/(g1^2*g2^3) + g1^4*g2^8*t^7.26 + 4*g1^2*g2^6*t^7.29 + 2*g2^4*t^7.33 - (2*g2^2*t^7.36)/g1^2 + 4*g2^9*t^7.48 + (g2^7*t^7.52)/g1^2 + (g2^10*t^7.71)/g1^4 + (g1^2*t^7.83)/g2^15 + (g1^4*t^7.96)/g2^8 + t^8.02/g2^12 + (g1^6*t^8.08)/g2 + (2*g1^2*t^8.15)/g2^5 - (3*t^8.18)/g2^7 + g1^6*g2^4*t^8.24 + 3*g1^4*g2^2*t^8.27 - 3*g1^2*t^8.31 + t^8.34/g2^2 - t^8.37/(g1^2*g2^4) + 2*g1^4*g2^7*t^8.43 + 5*g1^2*g2^5*t^8.46 - 7*g2^3*t^8.49 - (g2*t^8.53)/g1^2 + 3*g1^2*g2^10*t^8.62 + 5*g2^8*t^8.65 - (2*g2^6*t^8.68)/g1^2 + t^8.71/g2^28 + (g1^2*t^8.84)/g2^21 + (3*g2^11*t^8.84)/g1^2 + (g1^4*t^8.97)/g2^14 - t^4.17/(g2*y) - t^6.35/(g2^8*y) - (g1^2*t^6.47)/(g2*y) - (g2^2*t^6.66)/y + (g1^2*t^7.48)/(g2^7*y) + (3*t^7.67)/(g2^4*y) + (2*g1^2*g2^3*t^7.8)/y + t^7.86/(g1^2*g2*y) + (2*g2^6*t^7.99)/y - t^8.53/(g2^15*y) + (g1^2*t^8.81)/(g2^3*y) + t^8.84/(g2^5*y) + (g1^4*g2^4*t^8.94)/y + (3*g1^2*g2^2*t^8.97)/y - (t^4.17*y)/g2 - (t^6.35*y)/g2^8 - (g1^2*t^6.47*y)/g2 - g2^2*t^6.66*y + (g1^2*t^7.48*y)/g2^7 + (3*t^7.67*y)/g2^4 + 2*g1^2*g2^3*t^7.8*y + (t^7.86*y)/(g1^2*g2) + 2*g2^6*t^7.99*y - (t^8.53*y)/g2^15 + (g1^2*t^8.81*y)/g2^3 + (t^8.84*y)/g2^5 + g1^4*g2^4*t^8.94*y + 3*g1^2*g2^2*t^8.97*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 |
|---|---|---|---|---|---|---|---|---|
| 3469 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_3M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6331 | 0.7809 | 0.8108 | [X:[1.6104], M:[0.3896, 1.2208, 1.1688, 0.7272, 0.8312, 0.8312, 0.8052], q:[0.8442, 0.7662], qb:[0.4286, 0.4026], phi:[0.3896]] | t^2.18 + t^2.42 + 2*t^2.49 + t^3.58 + 2*t^3.66 + 2*t^3.74 + t^4.36 + t^4.6 + 2*t^4.68 + 2*t^4.83 + 2*t^4.91 + 3*t^4.99 + t^5.77 + t^5.84 - 2*t^6. - t^4.17/y - t^4.17*y | detail | |
| 3471 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_3M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7q_2\tilde{q}_1$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6547 | 0.8239 | 0.7947 | [X:[1.6119], M:[0.3881, 1.2238, 1.1643, 0.7166, 0.8357, 0.8357, 0.7587, 0.6991], q:[0.827, 0.7849], qb:[0.4564, 0.3793], phi:[0.3881]] | t^2.1 + t^2.15 + t^2.28 + 2*t^2.51 + t^3.44 + t^3.62 + 2*t^3.67 + t^4.19 + t^4.25 + t^4.3 + t^4.37 + t^4.43 + t^4.55 + 2*t^4.6 + 2*t^4.66 + 2*t^4.78 + t^4.84 + 3*t^5.01 + t^5.54 + t^5.59 + 2*t^5.72 + 2*t^5.77 + t^5.82 + t^5.89 + 3*t^5.95 - 3*t^6. - t^4.16/y - t^4.16*y | detail | |
| 3470 | $M_1q_1q_2$ + $ 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_3M_5$ + $ M_3M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7q_2\tilde{q}_1$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.6493 | 0.8094 | 0.8023 | [X:[1.6099], M:[0.3901, 1.2197, 1.1704, 0.7309, 0.8296, 0.8296, 0.8049, 0.8049], q:[0.842, 0.7679], qb:[0.4272, 0.4025], phi:[0.3901]] | t^2.19 + 2*t^2.41 + 2*t^2.49 + 2*t^3.66 + 2*t^3.73 + t^4.39 + 2*t^4.61 + 2*t^4.68 + 4*t^4.83 + 4*t^4.9 + 3*t^4.98 + t^5.85 - 3*t^6. - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1879 | 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_3M_5$ + $ M_3M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.617 | 0.7524 | 0.82 | [X:[1.6109], M:[0.3891, 1.2218, 1.1673, 0.7236, 0.8327, 0.8327], q:[0.8464, 0.7645], qb:[0.43, 0.4027], phi:[0.3891]] | t^2.17 + 2*t^2.5 + 2*t^3.58 + 2*t^3.67 + 2*t^3.75 + t^4.34 + 2*t^4.67 + t^4.83 + 3*t^5. + 2*t^5.75 + t^5.84 - 3*t^6. - t^4.17/y - t^4.17*y | detail |