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 |