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 |
|---|---|---|---|---|---|---|---|---|---|
| 55356 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6409 | 0.8002 | 0.8009 | [X:[1.6151], M:[0.3849, 0.6942, 1.1547, 0.8453, 1.2302, 0.7631, 0.6875], q:[0.842, 0.7731], qb:[0.4638, 0.3815], phi:[0.3849]] | [X:[[0, 1]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [0, 2], [2, 0], [2, -5]], 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 |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_6$, $ M_4$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ q_1\tilde{q}_2$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ M_2M_7$, $ M_2^2$, $ M_6M_7$, $ M_2M_6$, $ M_6^2$, $ M_4M_7$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_7\phi_1\tilde{q}_2^2$, $ M_3M_7$, $ M_2\phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_7q_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_5M_7$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_5M_6$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$ | . | -2 | t^2.06 + t^2.08 + t^2.29 + t^2.54 + t^3.44 + t^3.46 + t^3.67 + 2*t^3.69 + t^4.13 + t^4.15 + t^4.17 + t^4.35 + t^4.37 + t^4.58 + t^4.6 + t^4.62 + t^4.83 + t^4.85 + t^5.07 + t^5.51 + 2*t^5.53 + t^5.55 + 2*t^5.73 + 3*t^5.75 + t^5.77 + t^5.96 + 2*t^5.98 - 2*t^6. - t^6.02 + t^6.19 + 2*t^6.21 + 2*t^6.23 + t^6.41 + t^6.43 + t^6.45 + t^6.64 + 2*t^6.66 + t^6.68 + t^6.7 + t^6.87 + 2*t^6.89 + 2*t^6.91 + t^6.93 + 2*t^7.11 + 3*t^7.13 - t^7.17 + t^7.34 + 2*t^7.36 - 2*t^7.4 + t^7.57 + 2*t^7.59 + 2*t^7.61 + 2*t^7.8 + 4*t^7.82 + 2*t^7.84 + t^7.86 + 2*t^8.02 + 3*t^8.04 - t^8.06 - 3*t^8.08 - t^8.1 + 2*t^8.25 + 4*t^8.27 + t^8.48 + 2*t^8.5 + 2*t^8.52 - 2*t^8.54 - 2*t^8.56 + t^8.7 + 2*t^8.72 + 3*t^8.74 + t^8.76 - t^8.78 + t^8.93 + 3*t^8.95 + 3*t^8.97 + 2*t^8.99 - t^4.15/y - t^6.22/y - t^6.24/y - t^6.44/y + t^7.15/y + t^7.35/y + t^7.37/y + t^7.6/y + t^7.62/y + t^7.83/y + t^7.87/y + t^8.07/y + t^8.09/y - t^8.28/y - t^8.3/y - t^8.32/y + t^8.53/y + t^8.55/y + t^8.73/y + (4*t^8.75)/y + (2*t^8.77)/y + t^8.96/y + (3*t^8.98)/y - t^4.15*y - t^6.22*y - t^6.24*y - t^6.44*y + t^7.15*y + t^7.35*y + t^7.37*y + t^7.6*y + t^7.62*y + t^7.83*y + t^7.87*y + t^8.07*y + t^8.09*y - t^8.28*y - t^8.3*y - t^8.32*y + t^8.53*y + t^8.55*y + t^8.73*y + 4*t^8.75*y + 2*t^8.77*y + t^8.96*y + 3*t^8.98*y | (g1^2*t^2.06)/g2^5 + t^2.08/g2^7 + g1^2*t^2.29 + g2^3*t^2.54 + (g1^2*t^3.44)/g2 + t^3.46/g2^3 + g1^2*g2^4*t^3.67 + 2*g2^2*t^3.69 + (g1^4*t^4.13)/g2^10 + (g1^2*t^4.15)/g2^12 + t^4.17/g2^14 + (g1^4*t^4.35)/g2^5 + (g1^2*t^4.37)/g2^7 + g1^4*t^4.58 + (g1^2*t^4.6)/g2^2 + t^4.62/g2^4 + g1^2*g2^3*t^4.83 + g2*t^4.85 + g2^6*t^5.07 + (g1^4*t^5.51)/g2^6 + (2*g1^2*t^5.53)/g2^8 + t^5.55/g2^10 + (2*g1^4*t^5.73)/g2 + (3*g1^2*t^5.75)/g2^3 + t^5.77/g2^5 + g1^4*g2^4*t^5.96 + 2*g1^2*g2^2*t^5.98 - 2*t^6. - t^6.02/(g1^2*g2^2) + (g1^6*t^6.19)/g2^15 + (g1^4*t^6.21)/g2^17 + g1^2*g2^7*t^6.21 + (g1^2*t^6.23)/g2^19 + g2^5*t^6.23 + t^6.25/g2^21 - (g2^3*t^6.25)/g1^2 + (g1^6*t^6.41)/g2^10 + (g1^4*t^6.43)/g2^12 + (g1^2*t^6.45)/g2^14 + (g1^6*t^6.64)/g2^5 + (2*g1^4*t^6.66)/g2^7 + (g1^2*t^6.68)/g2^9 + t^6.7/g2^11 + g1^6*t^6.87 + (2*g1^4*t^6.89)/g2^2 + (2*g1^2*t^6.91)/g2^4 + t^6.93/g2^6 + 2*g1^4*g2^3*t^7.11 + 3*g1^2*g2*t^7.13 - t^7.17/(g1^2*g2^3) + g1^4*g2^8*t^7.34 + 2*g1^2*g2^6*t^7.36 - (2*g2^2*t^7.4)/g1^2 + (g1^6*t^7.57)/g2^11 + (2*g1^4*t^7.59)/g2^13 + (2*g1^2*t^7.61)/g2^15 + t^7.63/g2^17 - (g2^7*t^7.63)/g1^2 + (2*g1^6*t^7.8)/g2^6 + (4*g1^4*t^7.82)/g2^8 + (2*g1^2*t^7.84)/g2^10 + t^7.86/g2^12 + (2*g1^6*t^8.02)/g2 + (3*g1^4*t^8.04)/g2^3 - (g1^2*t^8.06)/g2^5 - (3*t^8.08)/g2^7 - t^8.1/(g1^2*g2^9) + (g1^8*t^8.25)/g2^20 + g1^6*g2^4*t^8.25 + (g1^6*t^8.27)/g2^22 + 3*g1^4*g2^2*t^8.27 - g1^2*t^8.29 + (g1^4*t^8.29)/g2^24 + (g1^2*t^8.31)/g2^26 - t^8.31/g2^2 + t^8.33/g2^28 - t^8.33/(g1^2*g2^4) + (g1^8*t^8.48)/g2^15 + (g1^6*t^8.5)/g2^17 + g1^4*g2^7*t^8.5 + (g1^4*t^8.52)/g2^19 + g1^2*g2^5*t^8.52 + (g1^2*t^8.54)/g2^21 - 3*g2^3*t^8.54 - (2*g2*t^8.56)/g1^2 + (g1^8*t^8.7)/g2^10 + (2*g1^6*t^8.72)/g2^12 + (2*g1^4*t^8.74)/g2^14 + g1^2*g2^10*t^8.74 + (g1^2*t^8.76)/g2^16 + t^8.78/g2^18 - (2*g2^6*t^8.78)/g1^2 + (g1^8*t^8.93)/g2^5 + (3*g1^6*t^8.95)/g2^7 + (3*g1^4*t^8.97)/g2^9 + (2*g1^2*t^8.99)/g2^11 - t^4.15/(g2*y) - (g1^2*t^6.22)/(g2^6*y) - t^6.24/(g2^8*y) - (g1^2*t^6.44)/(g2*y) + (g1^2*t^7.15)/(g2^12*y) + (g1^4*t^7.35)/(g2^5*y) + (g1^2*t^7.37)/(g2^7*y) + (g1^2*t^7.6)/(g2^2*y) + t^7.62/(g2^4*y) + (g1^2*g2^3*t^7.83)/y + t^7.87/(g1^2*g2*y) + (g2^6*t^8.07)/y + (g2^4*t^8.09)/(g1^2*y) - (g1^4*t^8.28)/(g2^11*y) - (g1^2*t^8.3)/(g2^13*y) - t^8.32/(g2^15*y) + (g1^2*t^8.53)/(g2^8*y) + t^8.55/(g2^10*y) + (g1^4*t^8.73)/(g2*y) + (4*g1^2*t^8.75)/(g2^3*y) + (2*t^8.77)/(g2^5*y) + (g1^4*g2^4*t^8.96)/y + (3*g1^2*g2^2*t^8.98)/y - (t^4.15*y)/g2 - (g1^2*t^6.22*y)/g2^6 - (t^6.24*y)/g2^8 - (g1^2*t^6.44*y)/g2 + (g1^2*t^7.15*y)/g2^12 + (g1^4*t^7.35*y)/g2^5 + (g1^2*t^7.37*y)/g2^7 + (g1^2*t^7.6*y)/g2^2 + (t^7.62*y)/g2^4 + g1^2*g2^3*t^7.83*y + (t^7.87*y)/(g1^2*g2) + g2^6*t^8.07*y + (g2^4*t^8.09*y)/g1^2 - (g1^4*t^8.28*y)/g2^11 - (g1^2*t^8.3*y)/g2^13 - (t^8.32*y)/g2^15 + (g1^2*t^8.53*y)/g2^8 + (t^8.55*y)/g2^10 + (g1^4*t^8.73*y)/g2 + (4*g1^2*t^8.75*y)/g2^3 + (2*t^8.77*y)/g2^5 + g1^4*g2^4*t^8.96*y + 3*g1^2*g2^2*t^8.98*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46992 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6202 | 0.7596 | 0.8165 | [X:[1.6142], M:[0.3858, 0.7007, 1.1574, 0.8426, 1.2284, 0.7695], q:[0.8415, 0.7727], qb:[0.4578, 0.3848], phi:[0.3858]] | t^2.1 + t^2.31 + t^2.53 + 2*t^3.47 + t^3.68 + 2*t^3.69 + t^3.9 + t^4.2 + t^4.41 + t^4.62 + t^4.63 + 2*t^4.84 + t^5.06 + 2*t^5.57 + t^5.77 + t^5.78 + t^5.79 + 3*t^5.99 - 2*t^6. - t^4.16/y - t^4.16*y | detail |