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 |
|---|---|---|---|---|---|---|---|---|---|
| 8185 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ | 1.128 | 1.2465 | 0.9049 | [X:[1.6379], M:[], q:[0.5474, 0.3663], qb:[], phi:[0.1811]] | [X:[[4]], M:[], q:[[5], [7]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^8$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^4q_1q_2$, $ \phi_1^5q_2^2$, $ X_1$, $ q_1^2q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1^2q_2^4$ | $\phi_1^7q_2^2$ | 0 | t^2.17 + 2*t^2.74 + t^3.28 + 3*t^3.83 + t^4.35 + t^4.37 + 4*t^4.91 + 3*t^5.48 + 2*t^6.03 + t^6.52 - 2*t^6.54 + 7*t^6.57 + t^7.09 + 5*t^7.11 - 2*t^7.63 + 12*t^7.65 + 4*t^8.2 + 4*t^8.22 + t^8.69 - 2*t^8.72 + 3*t^8.74 + 3*t^8.77 + t^8.17/y^2 - t^8.72/y^2 - t^3.54/y - t^4.63/y - t^5.72/y - (2*t^6.28)/y - t^6.8/y - t^6.83/y - (3*t^7.37)/y - t^7.89/y + t^7.91/y - (2*t^8.46)/y + t^8.48/y - t^8.97/y - t^3.54*y - t^4.63*y - t^5.72*y - 2*t^6.28*y - t^6.8*y - t^6.83*y - 3*t^7.37*y - t^7.89*y + t^7.91*y - 2*t^8.46*y + t^8.48*y - t^8.97*y + t^8.17*y^2 - t^8.72*y^2 | t^2.17/g1^8 + 2*g1^12*t^2.74 + g1^10*t^3.28 + 3*g1^8*t^3.83 + t^4.35/g1^16 + g1^6*t^4.37 + 4*g1^4*t^4.91 + 3*g1^24*t^5.48 + 2*g1^22*t^6.03 + t^6.52/g1^24 - (2*t^6.54)/g1^2 + 7*g1^20*t^6.57 + t^7.09/g1^4 + 5*g1^18*t^7.11 - (2*t^7.63)/g1^6 + 12*g1^16*t^7.65 + 4*g1^14*t^8.2 + 4*g1^36*t^8.22 + t^8.69/g1^32 - (2*t^8.72)/g1^10 + 3*g1^12*t^8.74 + 3*g1^34*t^8.77 + t^8.17/(g1^8*y^2) - t^8.72/(g1^10*y^2) - t^3.54/(g1^2*y) - t^4.63/(g1^6*y) - t^5.72/(g1^10*y) - (2*g1^10*t^6.28)/y - t^6.8/(g1^14*y) - (g1^8*t^6.83)/y - (3*g1^6*t^7.37)/y - t^7.89/(g1^18*y) + (g1^4*t^7.91)/y - (2*g1^2*t^8.46)/y + (g1^24*t^8.48)/y - t^8.97/(g1^22*y) - (t^3.54*y)/g1^2 - (t^4.63*y)/g1^6 - (t^5.72*y)/g1^10 - 2*g1^10*t^6.28*y - (t^6.8*y)/g1^14 - g1^8*t^6.83*y - 3*g1^6*t^7.37*y - (t^7.89*y)/g1^18 + g1^4*t^7.91*y - 2*g1^2*t^8.46*y + g1^24*t^8.48*y - (t^8.97*y)/g1^22 + (t^8.17*y^2)/g1^8 - (t^8.72*y^2)/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 |
|---|---|---|---|---|---|---|---|---|
| 8205 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1q_1q_2$ | 1.1377 | 1.2587 | 0.9039 | [X:[1.6481], M:[0.8798], q:[0.5601, 0.3841], qb:[], phi:[0.176]] | t^2.11 + t^2.64 + 2*t^2.83 + 3*t^3.89 + t^4.22 + t^4.42 + t^4.75 + 4*t^4.94 + t^5.28 + t^5.47 + 3*t^5.67 - t^3.53/y - t^4.58/y - t^5.64/y - t^3.53*y - t^4.58*y - t^5.64*y | detail | |
| 8195 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1^3q_2^2$ | 1.148 | 1.2828 | 0.8949 | [X:[1.6406], M:[0.7189], q:[0.5507, 0.371], qb:[], phi:[0.1797]] | 2*t^2.16 + 2*t^2.77 + t^3.3 + 2*t^3.84 + 3*t^4.31 + t^4.38 + 6*t^4.92 + t^5.46 + 3*t^5.53 + t^6. - t^3.54/y - t^4.62/y - (2*t^5.7)/y - t^3.54*y - t^4.62*y - 2*t^5.7*y | detail | |
| 8203 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ | 1.1219 | 1.2307 | 0.9116 | [X:[1.6518], M:[1.0447], q:[0.5647, 0.3906], qb:[], phi:[0.1741]] | t^2.09 + t^2.87 + t^3.13 + t^3.39 + 3*t^3.91 + t^4.18 + t^4.43 + 3*t^4.96 + t^5.22 + t^5.73 + t^6. - t^3.52/y - t^4.57/y - t^5.61/y - t^3.52*y - t^4.57*y - t^5.61*y | detail | |
| 8212 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ \phi_1^8$ + $ q_1q_2X_2$ + $ \phi_1q_2^2X_3$ | 0.8906 | 1.0156 | 0.8769 | [X:[1.5, 1.5, 1.5], M:[], q:[0.375, 0.125], qb:[], phi:[0.25]] | t^2.25 + 4*t^3. + t^3.75 + 5*t^4.5 + 3*t^5.25 + 6*t^6. - t^3.75/y - t^5.25/y - t^6./y - t^3.75*y - t^5.25*y - t^6.*y | detail | {a: 57/64, c: 65/64, X1: 3/2, X2: 3/2, X3: 3/2, q1: 3/8, q2: 1/8, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8183 | Sp2adj1nf1 | $\phi_1^2X_1$ | 1.1597 | 1.2847 | 0.9027 | [X:[1.6249], M:[], q:[0.4374, 0.4374], qb:[], phi:[0.1875]] | t^2.25 + t^2.62 + 3*t^3.19 + t^3.75 + 3*t^4.31 + t^4.5 + 2*t^4.87 + t^5.25 + 3*t^5.44 + 3*t^5.81 - 3*t^6. - t^3.56/y - t^4.69/y - t^5.81/y - t^3.56*y - t^4.69*y - t^5.81*y | detail |