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 |
|---|---|---|---|---|---|---|---|---|---|
| 1256 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_3M_4$ + $ M_4M_6$ | 0.5764 | 0.7192 | 0.8014 | [X:[], M:[0.6935, 0.6935, 1.0613, 0.9387, 1.3065, 1.0613], q:[0.9798, 0.6121], qb:[0.3266, 0.4492], phi:[0.4081]] | [X:[], M:[[-20], [-20], [4], [-4], [20], [4]], q:[[15], [-9]], qb:[[5], [13]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_3$, $ M_6$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5$, $ M_1^2$, $ q_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ M_1M_3$, $ M_1M_6$, $ M_1q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.08 + t^2.33 + t^2.45 + 3*t^3.18 + t^3.55 + t^3.92 + t^4.16 + t^4.29 + t^4.41 + t^4.53 + t^4.65 + 2*t^4.78 + t^4.9 + 2*t^5.26 + 3*t^5.51 + 2*t^5.63 + t^5.88 - t^6. + t^6.24 + t^6.25 + 5*t^6.37 + 2*t^6.61 + 2*t^6.74 + 2*t^6.98 + 3*t^7.1 + 3*t^7.35 + 2*t^7.47 - t^7.59 + t^7.71 + 4*t^7.84 + 2*t^7.96 + 2*t^8.21 + t^8.32 - 2*t^8.33 + t^8.45 + 2*t^8.57 + t^8.69 + 4*t^8.7 + t^8.94 - t^4.22/y - t^6.3/y - t^6.67/y + t^7.04/y + t^7.53/y + (2*t^7.78)/y + t^8.14/y + (3*t^8.26)/y - t^8.39/y + (3*t^8.51)/y + (4*t^8.63)/y - t^8.75/y + t^8.88/y - t^4.22*y - t^6.3*y - t^6.67*y + t^7.04*y + t^7.53*y + 2*t^7.78*y + t^8.14*y + 3*t^8.26*y - t^8.39*y + 3*t^8.51*y + 4*t^8.63*y - t^8.75*y + t^8.88*y | t^2.08/g1^20 + g1^18*t^2.33 + t^2.45/g1^12 + 3*g1^4*t^3.18 + g1^12*t^3.55 + g1^20*t^3.92 + t^4.16/g1^40 + g1^28*t^4.29 + t^4.41/g1^2 + t^4.53/g1^32 + g1^36*t^4.65 + 2*g1^6*t^4.78 + t^4.9/g1^24 + (2*t^5.26)/g1^16 + 3*g1^22*t^5.51 + (2*t^5.63)/g1^8 + g1^30*t^5.88 - t^6. + t^6.24/g1^60 + g1^38*t^6.25 + 5*g1^8*t^6.37 + t^6.61/g1^52 + g1^46*t^6.61 + 2*g1^16*t^6.74 + t^6.98/g1^44 + g1^54*t^6.98 + 3*g1^24*t^7.1 + (3*t^7.35)/g1^36 + 2*g1^32*t^7.47 - g1^2*t^7.59 + t^7.71/g1^28 + 4*g1^40*t^7.84 + 2*g1^10*t^7.96 + 2*g1^48*t^8.21 + t^8.32/g1^80 - 2*g1^18*t^8.33 + t^8.45/g1^12 + 2*g1^56*t^8.57 + t^8.69/g1^72 + 4*g1^26*t^8.7 + g1^64*t^8.94 - t^4.22/(g1^6*y) - t^6.3/(g1^26*y) - t^6.67/(g1^18*y) + t^7.04/(g1^10*y) + t^7.53/(g1^32*y) + (2*g1^6*t^7.78)/y + (g1^14*t^8.14)/y + (3*t^8.26)/(g1^16*y) - t^8.39/(g1^46*y) + (3*g1^22*t^8.51)/y + (4*t^8.63)/(g1^8*y) - t^8.75/(g1^38*y) + (g1^30*t^8.88)/y - (t^4.22*y)/g1^6 - (t^6.3*y)/g1^26 - (t^6.67*y)/g1^18 + (t^7.04*y)/g1^10 + (t^7.53*y)/g1^32 + 2*g1^6*t^7.78*y + g1^14*t^8.14*y + (3*t^8.26*y)/g1^16 - (t^8.39*y)/g1^46 + 3*g1^22*t^8.51*y + (4*t^8.63*y)/g1^8 - (t^8.75*y)/g1^38 + g1^30*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 2291 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_3M_4$ + $ M_4M_6$ + $ M_5M_7$ | 0.5971 | 0.7592 | 0.7865 | [X:[], M:[0.6878, 0.6878, 1.0624, 0.9376, 1.3122, 1.0624, 0.6878], q:[0.9841, 0.6095], qb:[0.328, 0.4529], phi:[0.4063]] | 2*t^2.06 + t^2.34 + t^2.44 + 3*t^3.19 + t^3.56 + 3*t^4.13 + t^4.31 + 2*t^4.41 + 2*t^4.5 + t^4.69 + 2*t^4.78 + t^4.88 + 5*t^5.25 + 3*t^5.53 + 3*t^5.63 + 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 |
|---|---|---|---|---|---|---|---|---|---|
| 772 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_5$ + $ M_1M_5$ + $ M_3M_4$ | 0.5822 | 0.7285 | 0.7991 | [X:[], M:[0.6846, 0.6846, 1.0631, 0.9369, 1.3154], q:[0.9866, 0.608], qb:[0.3289, 0.455], phi:[0.4054]] | t^2.05 + t^2.35 + t^2.43 + t^2.81 + 2*t^3.19 + t^3.57 + t^3.95 + t^4.11 + t^4.32 + t^4.41 + t^4.49 + t^4.7 + 2*t^4.78 + 2*t^4.86 + t^5.16 + 2*t^5.24 + 2*t^5.54 + 2*t^5.62 + t^5.92 + t^6. - t^4.22/y - t^4.22*y | detail |