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 |
|---|---|---|---|---|---|---|---|---|---|
| 4048 | 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$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_6M_7$ + $ M_8q_1q_2$ | 0.6954 | 0.8675 | 0.8016 | [X:[], M:[0.9859, 1.1303, 0.9278, 0.6954, 0.8697, 0.7535, 1.2465, 0.8116], q:[0.7826, 0.4058], qb:[0.6083, 0.4639], phi:[0.4349]] | [X:[], M:[[32], [-12], [22], [-18], [12], [-8], [8], [2]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_8$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_7$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_8^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_5M_8$, $ M_8\phi_1^2$, $ M_5^2$, $ M_3M_8$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_1M_8$, $ M_3\phi_1^2$, $ M_3^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_4M_7$, $ M_4q_1\tilde{q}_2$, $ M_1^2$ | . | -3 | t^2.09 + t^2.43 + 2*t^2.61 + t^2.78 + t^2.96 + 2*t^3.74 + t^4.09 + 2*t^4.17 + t^4.35 + 2*t^4.52 + 2*t^4.7 + 2*t^4.87 + t^4.95 + 3*t^5.04 + 4*t^5.22 + 2*t^5.39 + 2*t^5.57 + t^5.74 + t^5.83 + t^5.92 - 3*t^6. + t^6.17 + 2*t^6.26 + 3*t^6.35 + 2*t^6.52 + 2*t^6.61 + 3*t^6.7 + 3*t^6.78 + 4*t^6.96 + t^7.04 + t^7.05 + 3*t^7.13 + 4*t^7.3 + t^7.39 + 5*t^7.48 + t^7.56 + 5*t^7.65 - t^7.74 + 8*t^7.83 + t^7.91 + 4*t^8. - 3*t^8.09 + 4*t^8.18 + 5*t^8.35 - 3*t^8.43 + 2*t^8.52 - 4*t^8.61 + 4*t^8.69 + t^8.7 - t^8.78 + 2*t^8.87 + 2*t^8.96 - t^4.3/y - t^6.39/y - t^6.74/y - t^6.91/y - t^7.09/y - t^7.26/y + t^7.35/y + (2*t^7.52)/y + (3*t^7.7)/y + (2*t^7.87)/y + (3*t^8.04)/y + (3*t^8.22)/y + (3*t^8.39)/y - t^8.48/y + (2*t^8.57)/y + t^8.74/y + t^8.83/y - t^4.3*y - t^6.39*y - t^6.74*y - t^6.91*y - t^7.09*y - t^7.26*y + t^7.35*y + 2*t^7.52*y + 3*t^7.7*y + 2*t^7.87*y + 3*t^8.04*y + 3*t^8.22*y + 3*t^8.39*y - t^8.48*y + 2*t^8.57*y + t^8.74*y + t^8.83*y | t^2.09/g1^18 + g1^2*t^2.43 + 2*g1^12*t^2.61 + g1^22*t^2.78 + g1^32*t^2.96 + 2*g1^8*t^3.74 + g1^28*t^4.09 + (2*t^4.17)/g1^36 + t^4.35/g1^26 + (2*t^4.52)/g1^16 + (2*t^4.7)/g1^6 + 2*g1^4*t^4.87 + t^4.95/g1^60 + 3*g1^14*t^5.04 + 4*g1^24*t^5.22 + 2*g1^34*t^5.39 + 2*g1^44*t^5.57 + g1^54*t^5.74 + t^5.83/g1^10 + g1^64*t^5.92 - 3*t^6. + g1^10*t^6.17 + (2*t^6.26)/g1^54 + 3*g1^20*t^6.35 + 2*g1^30*t^6.52 + (2*t^6.61)/g1^34 + 3*g1^40*t^6.7 + (3*t^6.78)/g1^24 + (4*t^6.96)/g1^14 + t^7.04/g1^78 + g1^60*t^7.05 + (3*t^7.13)/g1^4 + 4*g1^6*t^7.3 + t^7.39/g1^58 + 5*g1^16*t^7.48 + t^7.56/g1^48 + 5*g1^26*t^7.65 - t^7.74/g1^38 + 8*g1^36*t^7.83 + t^7.91/g1^28 + 4*g1^46*t^8. - (3*t^8.09)/g1^18 + 4*g1^56*t^8.18 + (2*t^8.35)/g1^72 + 3*g1^66*t^8.35 - 3*g1^2*t^8.43 + 2*g1^76*t^8.52 - 4*g1^12*t^8.61 + (4*t^8.69)/g1^52 + g1^86*t^8.7 - g1^22*t^8.78 + t^8.87/g1^42 + g1^96*t^8.87 + 2*g1^32*t^8.96 - (g1^6*t^4.3)/y - t^6.39/(g1^12*y) - (g1^8*t^6.74)/y - (g1^18*t^6.91)/y - (g1^28*t^7.09)/y - (g1^38*t^7.26)/y + t^7.35/(g1^26*y) + (2*t^7.52)/(g1^16*y) + (3*t^7.7)/(g1^6*y) + (2*g1^4*t^7.87)/y + (3*g1^14*t^8.04)/y + (3*g1^24*t^8.22)/y + (3*g1^34*t^8.39)/y - t^8.48/(g1^30*y) + (2*g1^44*t^8.57)/y + (g1^54*t^8.74)/y + t^8.83/(g1^10*y) - g1^6*t^4.3*y - (t^6.39*y)/g1^12 - g1^8*t^6.74*y - g1^18*t^6.91*y - g1^28*t^7.09*y - g1^38*t^7.26*y + (t^7.35*y)/g1^26 + (2*t^7.52*y)/g1^16 + (3*t^7.7*y)/g1^6 + 2*g1^4*t^7.87*y + 3*g1^14*t^8.04*y + 3*g1^24*t^8.22*y + 3*g1^34*t^8.39*y - (t^8.48*y)/g1^30 + 2*g1^44*t^8.57*y + g1^54*t^8.74*y + (t^8.83*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5608 | $\phi_1q_1^2$ + $ 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$ + $ M_6q_1\tilde{q}_2$ + $ M_6M_7$ + $ M_8q_1q_2$ + $ M_3M_9$ | 0.6897 | 0.8582 | 0.8037 | [X:[], M:[1.0174, 1.1185, 0.9495, 0.6777, 0.8815, 0.7456, 1.2544, 0.8136, 1.0505], q:[0.7796, 0.4068], qb:[0.5758, 0.4747], phi:[0.4408]] | t^2.03 + t^2.44 + 2*t^2.64 + t^3.05 + t^3.15 + 2*t^3.76 + 2*t^4.07 + t^4.17 + t^4.27 + 2*t^4.47 + 2*t^4.68 + t^4.78 + t^4.88 + 3*t^5.09 + t^5.18 + 3*t^5.29 + t^5.59 + t^5.7 + 3*t^5.8 - 3*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1651 | 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$ + $ M_6\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_6M_7$ | 0.6796 | 0.8399 | 0.8092 | [X:[], M:[0.9879, 1.1295, 0.9292, 0.6943, 0.8705, 0.753, 1.247], q:[0.7824, 0.4059], qb:[0.6062, 0.4646], phi:[0.4352]] | t^2.08 + 2*t^2.61 + t^2.79 + t^2.96 + t^3.56 + 2*t^3.74 + t^4.09 + 2*t^4.17 + t^4.34 + t^4.52 + 2*t^4.69 + t^4.87 + t^4.94 + t^5.05 + 3*t^5.22 + t^5.4 + 2*t^5.58 + t^5.65 + t^5.75 + t^5.82 + t^5.93 - 3*t^6. - t^4.31/y - t^4.31*y | detail |