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 |
|---|---|---|---|---|---|---|---|---|---|
| 8190 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ | 1.1501 | 1.263 | 0.9106 | [X:[1.6387], M:[1.084], q:[0.458, 0.458], qb:[], phi:[0.1807]] | [X:[[0, 2]], M:[[0, -6]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ X_1$, $ M_1\phi_1^4$, $ \phi_1^5q_2^2$, $ \phi_1^5q_1q_2$, $ \phi_1^5q_1^2$ | $\phi_1^6q_1q_2$ | -3 | t^2.17 + t^3.25 + 3*t^3.29 + t^3.83 + t^4.34 + 3*t^4.37 + t^4.92 + t^5.42 + 3*t^5.46 - 3*t^6. + 2*t^6.5 + 3*t^6.54 + 6*t^6.58 - t^7.08 + 3*t^7.12 + t^7.59 + 3*t^7.63 + 9*t^7.66 - t^8.17 + 3*t^8.21 + 2*t^8.67 + 2*t^8.71 + 11*t^8.75 + t^8.17/y^2 - t^8.71/y^2 - t^3.54/y - t^4.63/y - t^5.71/y - (2*t^6.79)/y - (3*t^6.83)/y - (2*t^7.88)/y - (3*t^7.92)/y + t^8.42/y + (3*t^8.46)/y - (2*t^8.96)/y - t^3.54*y - t^4.63*y - t^5.71*y - 2*t^6.79*y - 3*t^6.83*y - 2*t^7.88*y - 3*t^7.92*y + t^8.42*y + 3*t^8.46*y - 2*t^8.96*y + t^8.17*y^2 - t^8.71*y^2 | t^2.17/g2^4 + t^3.25/g2^6 + (g1^2*t^3.29)/g2 + g2^5*t^3.29 + (g2^11*t^3.29)/g1^2 + g2^4*t^3.83 + t^4.34/g2^8 + (g1^2*t^4.37)/g2^3 + g2^3*t^4.37 + (g2^9*t^4.37)/g1^2 + g2^2*t^4.92 + t^5.42/g2^10 + (g1^2*t^5.46)/g2^5 + g2*t^5.46 + (g2^7*t^5.46)/g1^2 - t^6. - (g1^2*t^6.)/g2^6 - (g2^6*t^6.)/g1^2 + (2*t^6.5)/g2^12 + (g1^2*t^6.54)/g2^7 + t^6.54/g2 + (g2^5*t^6.54)/g1^2 + (g1^4*t^6.58)/g2^2 + g1^2*g2^4*t^6.58 + 2*g2^10*t^6.58 + (g2^16*t^6.58)/g1^2 + (g2^22*t^6.58)/g1^4 - (g1^2*t^7.08)/g2^8 + t^7.08/g2^2 - (g2^4*t^7.08)/g1^2 + g1^2*g2^3*t^7.12 + g2^9*t^7.12 + (g2^15*t^7.12)/g1^2 + t^7.59/g2^14 + (g1^2*t^7.63)/g2^9 + t^7.63/g2^3 + (g2^3*t^7.63)/g1^2 + (g1^4*t^7.66)/g2^4 + 2*g1^2*g2^2*t^7.66 + 3*g2^8*t^7.66 + (2*g2^14*t^7.66)/g1^2 + (g2^20*t^7.66)/g1^4 - (g1^2*t^8.17)/g2^10 + t^8.17/g2^4 - (g2^2*t^8.17)/g1^2 + g1^2*g2*t^8.21 + g2^7*t^8.21 + (g2^13*t^8.21)/g1^2 + (2*t^8.67)/g2^16 + (g1^2*t^8.71)/g2^11 + (g2*t^8.71)/g1^2 + 2*g1^2*t^8.75 + (2*g1^4*t^8.75)/g2^6 + 3*g2^6*t^8.75 + (2*g2^12*t^8.75)/g1^2 + (2*g2^18*t^8.75)/g1^4 + t^8.17/(g2^4*y^2) - t^8.71/(g2^5*y^2) - t^3.54/(g2*y) - t^4.63/(g2^3*y) - t^5.71/(g2^5*y) - (2*t^6.79)/(g2^7*y) - (g1^2*t^6.83)/(g2^2*y) - (g2^4*t^6.83)/y - (g2^10*t^6.83)/(g1^2*y) - (2*t^7.88)/(g2^9*y) - (g1^2*t^7.92)/(g2^4*y) - (g2^2*t^7.92)/y - (g2^8*t^7.92)/(g1^2*y) + t^8.42/(g2^10*y) + (g1^2*t^8.46)/(g2^5*y) + (g2*t^8.46)/y + (g2^7*t^8.46)/(g1^2*y) - (2*t^8.96)/(g2^11*y) - (t^3.54*y)/g2 - (t^4.63*y)/g2^3 - (t^5.71*y)/g2^5 - (2*t^6.79*y)/g2^7 - (g1^2*t^6.83*y)/g2^2 - g2^4*t^6.83*y - (g2^10*t^6.83*y)/g1^2 - (2*t^7.88*y)/g2^9 - (g1^2*t^7.92*y)/g2^4 - g2^2*t^7.92*y - (g2^8*t^7.92*y)/g1^2 + (t^8.42*y)/g2^10 + (g1^2*t^8.46*y)/g2^5 + g2*t^8.46*y + (g2^7*t^8.46*y)/g1^2 - (2*t^8.96*y)/g2^11 + (t^8.17*y^2)/g2^4 - (t^8.71*y^2)/g2^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8223 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_1\phi_1^4$ | 1.137 | 1.262 | 0.901 | [X:[1.6], M:[1.2], q:[0.4, 0.4], qb:[], phi:[0.2]] | t^2.4 + 3*t^3. + 2*t^3.6 + 3*t^4.2 + 2*t^4.8 + 3*t^5.4 + 4*t^6. - t^3.6/y - t^4.8/y - t^6./y - t^3.6*y - t^4.8*y - t^6.*y | detail | {a: 1137/1000, c: 631/500, X1: 8/5, M1: 6/5, q1: 2/5, q2: 2/5, phi1: 1/5} |
| 8220 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ | 1.1602 | 1.2773 | 0.9083 | [X:[1.6501], M:[1.0497, 0.8747], q:[0.4752, 0.4752], qb:[], phi:[0.1749]] | t^2.1 + t^2.62 + t^3.15 + 2*t^3.38 + t^3.9 + t^4.2 + 3*t^4.43 + t^4.72 + t^4.95 + 2*t^5.25 + 2*t^5.48 + t^5.77 - t^6. - t^3.52/y - t^4.57/y - t^5.62/y - t^3.52*y - t^4.57*y - t^5.62*y | detail | |
| 8219 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ | 1.1618 | 1.2816 | 0.9065 | [X:[1.649], M:[1.0529, 0.8372], q:[0.4937, 0.4535], qb:[], phi:[0.1755]] | t^2.11 + t^2.51 + t^3.16 + t^3.25 + t^3.37 + t^3.89 + t^4.21 + t^4.3 + t^4.42 + t^4.54 + t^4.62 + t^4.95 + t^5.02 + t^5.26 + t^5.35 + t^5.47 + t^5.67 + t^5.76 - t^6. - t^3.53/y - t^4.58/y - t^5.63/y - t^3.53*y - t^4.58*y - t^5.63*y | detail | |
| 8222 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1^2q_1q_2$ | 1.1702 | 1.2999 | 0.9002 | [X:[1.6416], M:[1.0751, 0.7168], q:[0.4624, 0.4624], qb:[], phi:[0.1792]] | 2*t^2.15 + t^3.23 + 3*t^3.31 + 3*t^4.3 + 3*t^4.39 + t^4.92 + 2*t^5.38 + 6*t^5.46 - 4*t^6. - t^3.54/y - t^4.61/y - (2*t^5.69)/y - t^3.54*y - t^4.61*y - 2*t^5.69*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |