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 |
|---|---|---|---|---|---|---|---|---|---|
| 8651 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_3\phi_1q_2^2$ | 1.1634 | 1.3004 | 0.8947 | [X:[1.6163], M:[1.0408, 0.9592, 0.8775], q:[0.3837, 0.4654], qb:[], phi:[0.1918]] | [X:[[2]], M:[[5], [-5], [-15]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ q_1q_2$, $ M_3$, $ M_2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^8$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_3\phi_1^4$, $ q_1^2q_2^2$, $ M_2\phi_1^4$, $ M_3q_1q_2$, $ M_3^2$, $ M_1\phi_1^4$, $ M_2q_1q_2$, $ M_2M_3$, $ M_1q_1q_2$, $ M_2^2$, $ M_1M_3$ | $\phi_1^6q_1q_2$ | 0 | t^2.3 + t^2.55 + t^2.63 + t^2.88 + t^3.12 + t^3.7 + t^4.03 + t^4.27 + t^4.52 + t^4.6 + 2*t^4.85 + t^4.93 + t^5.09 + 2*t^5.18 + t^5.26 + 2*t^5.42 + t^5.51 + t^5.67 + t^5.75 + t^6.25 + t^6.33 + 2*t^6.58 + t^6.66 + 2*t^6.82 + 2*t^6.91 + t^7.07 + 4*t^7.15 + t^7.24 + 3*t^7.4 + 2*t^7.48 + t^7.57 + 2*t^7.64 + 3*t^7.73 + 2*t^7.81 + t^7.9 + 2*t^7.97 + 3*t^8.06 + t^8.14 + t^8.22 + 3*t^8.3 + t^8.39 + t^8.55 + 2*t^8.79 - t^8.88 + t^8.96 + t^8.3/y^2 - t^8.88/y^2 - t^3.58/y - t^4.73/y - t^5.88/y - t^6.12/y - t^6.21/y - t^6.45/y - t^6.7/y - t^7.03/y - t^7.27/y - t^7.36/y - t^7.6/y + t^7.93/y + t^8.18/y + t^8.42/y - t^8.75/y - t^8.84/y - t^3.58*y - t^4.73*y - t^5.88*y - t^6.12*y - t^6.21*y - t^6.45*y - t^6.7*y - t^7.03*y - t^7.27*y - t^7.36*y - t^7.6*y + t^7.93*y + t^8.18*y + t^8.42*y - t^8.75*y - t^8.84*y + t^8.3*y^2 - t^8.88*y^2 | t^2.3/g1^4 + g1^6*t^2.55 + t^2.63/g1^15 + t^2.88/g1^5 + g1^5*t^3.12 + g1^4*t^3.7 + t^4.03/g1^7 + g1^3*t^4.27 + g1^13*t^4.52 + t^4.6/g1^8 + 2*g1^2*t^4.85 + t^4.93/g1^19 + g1^12*t^5.09 + (2*t^5.18)/g1^9 + t^5.26/g1^30 + 2*g1*t^5.42 + t^5.51/g1^20 + g1^11*t^5.67 + t^5.75/g1^10 + g1^10*t^6.25 + t^6.33/g1^11 + (2*t^6.58)/g1 + t^6.66/g1^22 + 2*g1^9*t^6.82 + (2*t^6.91)/g1^12 + g1^19*t^7.07 + (4*t^7.15)/g1^2 + t^7.24/g1^23 + 3*g1^8*t^7.4 + (2*t^7.48)/g1^13 + t^7.57/g1^34 + 2*g1^18*t^7.64 + (3*t^7.73)/g1^3 + (2*t^7.81)/g1^24 + t^7.9/g1^45 + 2*g1^7*t^7.97 + (3*t^8.06)/g1^14 + t^8.14/g1^35 + g1^17*t^8.22 + (3*t^8.3)/g1^4 + t^8.39/g1^25 + g1^6*t^8.55 + 2*g1^16*t^8.79 - t^8.88/g1^5 + t^8.96/g1^26 + t^8.3/(g1^4*y^2) - t^8.88/(g1^5*y^2) - t^3.58/(g1*y) - t^4.73/(g1^3*y) - t^5.88/(g1^5*y) - (g1^5*t^6.12)/y - t^6.21/(g1^16*y) - t^6.45/(g1^6*y) - (g1^4*t^6.7)/y - t^7.03/(g1^7*y) - (g1^3*t^7.27)/y - t^7.36/(g1^18*y) - t^7.6/(g1^8*y) + t^7.93/(g1^19*y) + t^8.18/(g1^9*y) + (g1*t^8.42)/y - t^8.75/(g1^10*y) - t^8.84/(g1^31*y) - (t^3.58*y)/g1 - (t^4.73*y)/g1^3 - (t^5.88*y)/g1^5 - g1^5*t^6.12*y - (t^6.21*y)/g1^16 - (t^6.45*y)/g1^6 - g1^4*t^6.7*y - (t^7.03*y)/g1^7 - g1^3*t^7.27*y - (t^7.36*y)/g1^18 - (t^7.6*y)/g1^8 + (t^7.93*y)/g1^19 + (t^8.18*y)/g1^9 + g1*t^8.42*y - (t^8.75*y)/g1^10 - (t^8.84*y)/g1^31 + (t^8.3*y^2)/g1^4 - (t^8.88*y^2)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8826 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_3\phi_1q_2^2$ + $ M_2M_4$ | 1.16 | 1.295 | 0.8957 | [X:[1.6133], M:[1.0332, 0.9668, 0.9005, 1.0332], q:[0.3867, 0.4531], qb:[], phi:[0.1934]] | t^2.32 + t^2.52 + t^2.7 + 2*t^3.1 + t^3.68 + t^4.06 + t^4.26 + t^4.46 + t^4.64 + 2*t^4.84 + t^5.02 + t^5.04 + t^5.22 + t^5.4 + 2*t^5.42 + 2*t^5.62 + t^5.8 - t^6. - t^3.58/y - t^4.74/y - t^5.9/y - t^3.58*y - t^4.74*y - t^5.9*y | detail | |
| 8827 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1^2q_1q_2$ | 1.1818 | 1.3334 | 0.8863 | [X:[1.6176], M:[1.0439, 0.9561, 0.8682, 0.7648], q:[0.3824, 0.4703], qb:[], phi:[0.1912]] | 2*t^2.29 + t^2.56 + t^2.6 + t^2.87 + t^3.13 + t^4.02 + t^4.28 + t^4.54 + 3*t^4.59 + 3*t^4.85 + 2*t^4.9 + t^5.12 + 3*t^5.16 + t^5.21 + 3*t^5.43 + t^5.47 + t^5.69 + t^5.74 - t^6. - t^3.57/y - t^4.72/y - (2*t^5.87)/y - t^3.57*y - t^4.72*y - 2*t^5.87*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8477 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ | 1.1553 | 1.2892 | 0.8961 | [X:[1.6072], M:[1.0179, 0.9821], q:[0.3928, 0.4286], qb:[], phi:[0.1964]] | t^2.36 + t^2.46 + t^2.95 + t^3.05 + t^3.16 + t^3.64 + t^4.12 + t^4.23 + t^4.34 + t^4.71 + 2*t^4.82 + t^4.93 + t^5.3 + 2*t^5.41 + 2*t^5.52 + t^5.63 - t^3.59/y - t^4.77/y - t^5.95/y - t^3.59*y - t^4.77*y - t^5.95*y | detail |