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 |
|---|---|---|---|---|---|---|---|---|---|
| 8823 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ M_1M_3$ + $ M_4\phi_1^3q_1^2$ | 1.1413 | 1.3017 | 0.8767 | [X:[1.5803], M:[1.1605, 1.0493, 0.8395, 0.7408], q:[0.3148, 0.426], qb:[], phi:[0.2099]] | [X:[[4]], M:[[8], [-10], [-8], [12]], q:[[-3], [15]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_1q_2$, $ M_3$, $ \phi_1^4$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1q_2$, $ M_4^2$, $ M_4q_1q_2$, $ \phi_1^3q_2^2$, $ q_1^2q_2^2$, $ M_3M_4$, $ M_4\phi_1^4$, $ M_3q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_3^2$, $ M_3\phi_1^4$, $ \phi_1^8$, $ M_2M_4$, $ M_2q_1q_2$, $ M_4\phi_1q_2^2$, $ \phi_1q_1q_2^3$, $ M_2M_3$, $ M_2\phi_1^4$, $ M_4\phi_1^2q_1q_2$, $ M_3\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ \phi_1^2q_1^2q_2^2$ | $M_3\phi_1^2q_1q_2$, $ \phi_1^6q_1q_2$ | 0 | 2*t^2.22 + 2*t^2.52 + t^3.15 + t^3.19 + t^3.48 + t^4.11 + 4*t^4.44 + 5*t^4.74 + 3*t^5.04 + 2*t^5.37 + 2*t^5.41 + t^5.67 + 4*t^5.7 + 2*t^6.33 + t^6.37 + 2*t^6.63 + 7*t^6.67 - t^6.93 + 9*t^6.96 + 7*t^7.26 + t^7.3 + 3*t^7.56 + 3*t^7.59 + 4*t^7.63 + 2*t^7.89 + 8*t^7.93 + t^8.18 + 2*t^8.22 - t^8.52 + 4*t^8.56 + 2*t^8.59 - t^8.81 - t^8.85 + 13*t^8.89 + t^8.52/y^2 - (2*t^8.85)/y^2 - t^3.63/y - t^4.89/y - (2*t^5.85)/y - (2*t^6.15)/y - t^6.78/y - t^6.82/y - (2*t^7.11)/y - t^7.41/y + t^7.44/y + (4*t^7.74)/y - (4*t^8.07)/y - (2*t^8.37)/y + (2*t^8.41)/y + (4*t^8.7)/y - t^3.63*y - t^4.89*y - 2*t^5.85*y - 2*t^6.15*y - t^6.78*y - t^6.82*y - 2*t^7.11*y - t^7.41*y + t^7.44*y + 4*t^7.74*y - 4*t^8.07*y - 2*t^8.37*y + 2*t^8.41*y + 4*t^8.7*y + t^8.52*y^2 - 2*t^8.85*y^2 | 2*g1^12*t^2.22 + (2*t^2.52)/g1^8 + t^3.15/g1^10 + g1^28*t^3.19 + g1^8*t^3.48 + g1^6*t^4.11 + 4*g1^24*t^4.44 + 5*g1^4*t^4.74 + (3*t^5.04)/g1^16 + 2*g1^2*t^5.37 + 2*g1^40*t^5.41 + t^5.67/g1^18 + 4*g1^20*t^5.7 + 2*g1^18*t^6.33 + g1^56*t^6.37 + (2*t^6.63)/g1^2 + 7*g1^36*t^6.67 - t^6.93/g1^22 + 9*g1^16*t^6.96 + (7*t^7.26)/g1^4 + g1^34*t^7.3 + (3*t^7.56)/g1^24 + 3*g1^14*t^7.59 + 4*g1^52*t^7.63 + (2*t^7.89)/g1^6 + 8*g1^32*t^7.93 + t^8.18/g1^26 + 2*g1^12*t^8.22 - t^8.52/g1^8 + 4*g1^30*t^8.56 + 2*g1^68*t^8.59 - t^8.81/g1^28 - g1^10*t^8.85 + 13*g1^48*t^8.89 + t^8.52/(g1^8*y^2) - (2*g1^10*t^8.85)/y^2 - t^3.63/(g1^2*y) - t^4.89/(g1^6*y) - (2*g1^10*t^5.85)/y - (2*t^6.15)/(g1^10*y) - t^6.78/(g1^12*y) - (g1^26*t^6.82)/y - (2*g1^6*t^7.11)/y - t^7.41/(g1^14*y) + (g1^24*t^7.44)/y + (4*g1^4*t^7.74)/y - (4*g1^22*t^8.07)/y - (2*g1^2*t^8.37)/y + (2*g1^40*t^8.41)/y + (4*g1^20*t^8.7)/y - (t^3.63*y)/g1^2 - (t^4.89*y)/g1^6 - 2*g1^10*t^5.85*y - (2*t^6.15*y)/g1^10 - (t^6.78*y)/g1^12 - g1^26*t^6.82*y - 2*g1^6*t^7.11*y - (t^7.41*y)/g1^14 + g1^24*t^7.44*y + 4*g1^4*t^7.74*y - 4*g1^22*t^8.07*y - 2*g1^2*t^8.37*y + 2*g1^40*t^8.41*y + 4*g1^20*t^8.7*y + (t^8.52*y^2)/g1^8 - 2*g1^10*t^8.85*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8912 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ M_1M_3$ + $ M_4\phi_1^3q_1^2$ + $ M_5\phi_1^2q_1q_2$ | 1.1553 | 1.3249 | 0.872 | [X:[1.5825], M:[1.1651, 1.0437, 0.8349, 0.7476, 0.8349], q:[0.3131, 0.4345], qb:[], phi:[0.2087]] | 2*t^2.24 + 3*t^2.5 + t^3.13 + t^3.23 + t^4.12 + 4*t^4.49 + 7*t^4.75 + 6*t^5.01 + 2*t^5.37 + 2*t^5.48 + 2*t^5.64 + 3*t^5.74 - 2*t^6. - t^3.63/y - t^4.88/y - (2*t^5.87)/y - t^3.63*y - t^4.88*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8646 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1\phi_1^4$ + $ M_1M_3$ | 1.122 | 1.2656 | 0.8865 | [X:[1.5822], M:[1.1643, 1.0446, 0.8357], q:[0.3134, 0.4331], qb:[], phi:[0.2089]] | t^2.24 + 2*t^2.51 + t^3.13 + t^3.23 + t^3.49 + t^3.76 + t^4.12 + 2*t^4.48 + 3*t^4.75 + 3*t^5.01 + t^5.37 + t^5.46 + t^5.64 + 3*t^5.73 + t^6. - t^3.63/y - t^4.88/y - t^5.87/y - t^3.63*y - t^4.88*y - t^5.87*y | detail |