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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[0, 2]], M:[], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ 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_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^8$, $ \phi_1^4q_1q_2$, $ X_1$, $ q_1^2q_2^2$, $ \phi_1^5q_2^2$, $ \phi_1^5q_1q_2$, $ \phi_1^5q_1^2$, $ \phi_1q_1q_2^3$, $ \phi_1q_1^2q_2^2$, $ \phi_1q_1^3q_2$ | $\phi_1^6q_1q_2$ | -3 | 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.+7*t^6.37+t^6.75+6*t^6.94-t^7.13+11*t^7.5+t^7.87+6*t^8.06-2*t^8.25+3*t^8.44+8*t^8.62-t^8.81+t^8.25/y^2-t^8.81/y^2-t^3.56/y-t^4.69/y-t^5.81/y-t^6.19/y-(3*t^6.75)/y-t^6.94/y-t^7.31/y-(2*t^7.87)/y-t^8.06/y+(2*t^8.44)/y+(2*t^8.81)/y-t^3.56*y-t^4.69*y-t^5.81*y-t^6.19*y-3*t^6.75*y-t^6.94*y-t^7.31*y-2*t^7.87*y-t^8.06*y+2*t^8.44*y+2*t^8.81*y+t^8.25*y^2-t^8.81*y^2 | t^2.25/g2^4+g2^6*t^2.62+(g1^2*t^3.19)/g2+g2^5*t^3.19+(g2^11*t^3.19)/g1^2+g2^4*t^3.75+(g1^2*t^4.31)/g2^3+g2^3*t^4.31+(g2^9*t^4.31)/g1^2+t^4.5/g2^8+2*g2^2*t^4.87+g2^12*t^5.25+(g1^2*t^5.44)/g2^5+g2*t^5.44+(g2^7*t^5.44)/g1^2+g1^2*g2^5*t^5.81+g2^11*t^5.81+(g2^17*t^5.81)/g1^2-t^6.-(g1^2*t^6.)/g2^6-(g2^6*t^6.)/g1^2+(g1^4*t^6.37)/g2^2+g1^2*g2^4*t^6.37+3*g2^10*t^6.37+(g2^16*t^6.37)/g1^2+(g2^22*t^6.37)/g1^4+t^6.75/g2^12+2*g1^2*g2^3*t^6.94+2*g2^9*t^6.94+(2*g2^15*t^6.94)/g1^2-(g1^2*t^7.13)/g2^8+t^7.13/g2^2-(g2^4*t^7.13)/g1^2+(g1^4*t^7.5)/g2^4+2*g1^2*g2^2*t^7.5+5*g2^8*t^7.5+(2*g2^14*t^7.5)/g1^2+(g2^20*t^7.5)/g1^4+g2^18*t^7.87+2*g1^2*g2*t^8.06+2*g2^7*t^8.06+(2*g2^13*t^8.06)/g1^2-(g1^2*t^8.25)/g2^10-(g2^2*t^8.25)/g1^2+g1^2*g2^11*t^8.44+g2^17*t^8.44+(g2^23*t^8.44)/g1^2+g1^2*t^8.62+(2*g1^4*t^8.62)/g2^6+2*g2^6*t^8.62+(g2^12*t^8.62)/g1^2+(2*g2^18*t^8.62)/g1^4-t^8.81/g2^5+t^8.25/(g2^4*y^2)-t^8.81/(g2^5*y^2)-t^3.56/(g2*y)-t^4.69/(g2^3*y)-t^5.81/(g2^5*y)-(g2^5*t^6.19)/y-(g1^2*t^6.75)/(g2^2*y)-(g2^4*t^6.75)/y-(g2^10*t^6.75)/(g1^2*y)-t^6.94/(g2^7*y)-(g2^3*t^7.31)/y-(g1^2*t^7.87)/(g2^4*y)-(g2^8*t^7.87)/(g1^2*y)-t^8.06/(g2^9*y)+(g1^2*t^8.44)/(g2^5*y)+(g2^7*t^8.44)/(g1^2*y)+(g1^2*g2^5*t^8.81)/y+(g2^17*t^8.81)/(g1^2*y)-(t^3.56*y)/g2-(t^4.69*y)/g2^3-(t^5.81*y)/g2^5-g2^5*t^6.19*y-(g1^2*t^6.75*y)/g2^2-g2^4*t^6.75*y-(g2^10*t^6.75*y)/g1^2-(t^6.94*y)/g2^7-g2^3*t^7.31*y-(g1^2*t^7.87*y)/g2^4-(g2^8*t^7.87*y)/g1^2-(t^8.06*y)/g2^9+(g1^2*t^8.44*y)/g2^5+(g2^7*t^8.44*y)/g1^2+g1^2*g2^5*t^8.81*y+(g2^17*t^8.81*y)/g1^2+(t^8.25*y^2)/g2^4-(t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 8192 | $\phi_1^2X_1$ + $ M_1\phi_1q_1q_2$ | 1.1667 | 1.2918 | 0.9032 | [X:[1.6362], M:[0.9095], q:[0.4543, 0.4543], qb:[], phi:[0.1819]] | t^2.18+2*t^2.73+2*t^3.27+t^3.82+3*t^4.36+t^4.37+3*t^4.91+4*t^5.45+t^5.46+t^6.-t^3.55/y-t^4.64/y-t^5.73/y-t^3.55*y-t^4.64*y-t^5.73*y | detail | |
| 8191 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ | 1.1686 | 1.2966 | 0.9013 | [X:[1.6354], M:[0.8685], q:[0.4746, 0.4317], qb:[], phi:[0.1823]] | t^2.19+t^2.61+t^2.72+t^3.14+t^3.27+t^3.81+t^4.23+t^4.36+t^4.37+t^4.49+t^4.79+2*t^4.91+t^5.21+2*t^5.32+t^5.44+t^5.45+t^5.74+t^5.86+t^5.98-t^6.-t^3.55/y-t^4.64/y-t^5.73/y-t^3.55*y-t^4.64*y-t^5.73*y | detail | |
| 8193 | $\phi_1^2X_1$ + $ M_1\phi_1^2q_1q_2$ | 1.1788 | 1.318 | 0.8944 | [X:[1.6288], M:[0.7424], q:[0.4432, 0.4432], qb:[], phi:[0.1856]] | 2*t^2.23+t^2.66+3*t^3.22+3*t^4.33+3*t^4.45+3*t^4.89+t^5.32+6*t^5.44+3*t^5.88-4*t^6.-t^3.56/y-t^4.67/y-(2*t^5.78)/y-t^3.56*y-t^4.67*y-2*t^5.78*y | detail | |
| 8188 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ | 1.1408 | 1.2531 | 0.9104 | [X:[1.6203], M:[1.2406], q:[0.4305, 0.4305], qb:[], phi:[0.1898]] | t^2.58+3*t^3.15+2*t^3.72+3*t^4.29+t^4.86+t^5.17+3*t^5.74-4*t^6.-t^3.57/y-t^4.71/y-t^3.57*y-t^4.71*y | detail | |
| 8190 | $\phi_1^2X_1$ + $ 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]] | 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.-t^3.54/y-t^4.63/y-t^5.71/y-t^3.54*y-t^4.63*y-t^5.71*y | detail | |
| 8187 | $\phi_1^2X_1$ + $ \phi_1q_1^2q_2^2$ | 1.1584 | 1.2777 | 0.9066 | [X:[1.6364], M:[], q:[0.4545, 0.4545], qb:[], phi:[0.1818]] | t^2.18+t^2.73+3*t^3.27+t^3.82+4*t^4.36+2*t^4.91+4*t^5.45-t^3.55/y-t^4.64/y-t^5.73/y-t^3.55*y-t^4.64*y-t^5.73*y | detail | {a: 24669/21296, c: 13605/10648, X1: 18/11, q1: 5/11, q2: 5/11, phi1: 2/11} |
| 8194 | $\phi_1^2X_1$ + $ \phi_1q_1^2$ + $ \phi_1^4X_2$ | 0.7825 | 0.7915 | 0.9886 | [X:[1.7856, 1.5712], M:[], q:[0.9464, 0.4104], qb:[], phi:[0.1072]] | t^2.78+t^3.43+t^4.07+t^4.71+t^5.57-t^6.-t^3.32/y-t^3.96/y-t^3.32*y-t^3.96*y | detail | |
| 8184 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ | 1.1587 | 1.2795 | 0.9056 | [X:[1.6334], M:[], q:[0.4582, 0.4421], qb:[], phi:[0.1833]] | t^2.2+t^2.7+t^3.2+t^3.25+t^3.3+t^3.8+t^4.3+t^4.35+2*t^4.4+2*t^4.9+2*t^5.4+t^5.45+t^5.5+t^5.9-t^3.55/y-t^4.65/y-t^5.75/y-t^3.55*y-t^4.65*y-t^5.75*y | detail | |
| 8185 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ | 1.128 | 1.2465 | 0.9049 | [X:[1.6379], M:[], q:[0.5474, 0.3663], qb:[], phi:[0.1811]] | 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-t^3.54/y-t^4.63/y-t^5.72/y-t^3.54*y-t^4.63*y-t^5.72*y | detail | |
| 8189 | $\phi_1^2X_1$ + $ \phi_1^8$ + $ q_1q_2X_2$ | 0.9814 | 1.1377 | 0.8627 | [X:[1.5, 1.5], M:[], q:[0.25, 0.25], qb:[], phi:[0.25]] | 3*t^2.25+2*t^3.+3*t^3.75+8*t^4.5+6*t^5.25+7*t^6.-t^3.75/y-t^5.25/y-(3*t^6.)/y-t^3.75*y-t^5.25*y-3*t^6.*y | detail | {a: 1005/1024, c: 1165/1024, X1: 3/2, X2: 3/2, q1: 1/4, q2: 1/4, phi1: 1/4} |
| 8186 | $\phi_1^2X_1$ + $ q_1^2q_2^2$ + $ \phi_1^4X_2$ | 1.1224 | 1.2057 | 0.9309 | [X:[1.6667, 1.3333], M:[], q:[0.5, 0.5], qb:[], phi:[0.1667]] | t^3.+3*t^3.5+2*t^4.+3*t^4.5+t^5.-3*t^6.-t^3.5/y-t^4.5/y-t^3.5*y-t^4.5*y | detail | {a: 431/384, c: 463/384, X1: 5/3, X2: 4/3, q1: 1/2, q2: 1/2, phi1: 1/6} |
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 |
|---|