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 |
|---|---|---|---|---|---|---|---|---|---|
| 8184 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ | 1.1587 | 1.2795 | 0.9056 | [X:[1.6334], M:[], q:[0.4582, 0.4421], qb:[], phi:[0.1833]] | [X:[[4]], M:[], q:[[-5], [17]], 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_1^3q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^4q_1q_2$, $ X_1$, $ \phi_1^5q_2^2$, $ q_1^2q_2^2$, $ \phi_1^5q_1q_2$, $ \phi_1^5q_1^2$, $ \phi_1q_1q_2^3$ | $\phi_1^6q_1q_2$ | 0 | 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^6.05+t^6.41+t^6.45+3*t^6.5+t^6.55+2*t^6.6+2*t^7.+t^7.05+3*t^7.1-t^7.15+t^7.5+2*t^7.55+5*t^7.6+2*t^7.65+t^7.7+3*t^8.1+t^8.15+2*t^8.2-t^8.25+3*t^8.6+2*t^8.65+3*t^8.7+3*t^8.8+t^8.2/y^2-t^8.75/y^2-t^3.55/y-t^4.65/y-t^5.75/y-t^6.25/y-t^6.75/y-t^6.8/y-(2*t^6.85)/y-t^7.35/y-t^7.85/y-(2*t^7.95)/y+t^8.4/y+t^8.5/y+t^8.9/y-t^8.95/y-t^3.55*y-t^4.65*y-t^5.75*y-t^6.25*y-t^6.75*y-t^6.8*y-2*t^6.85*y-t^7.35*y-t^7.85*y-2*t^7.95*y+t^8.4*y+t^8.5*y+t^8.9*y-t^8.95*y+t^8.2*y^2-t^8.75*y^2 | t^2.2/g1^8+g1^12*t^2.7+g1^32*t^3.2+g1^10*t^3.25+t^3.3/g1^12+g1^8*t^3.8+g1^28*t^4.3+g1^6*t^4.35+(2*t^4.4)/g1^16+2*g1^4*t^4.9+2*g1^24*t^5.4+g1^2*t^5.45+t^5.5/g1^20+g1^44*t^5.9-t^6.05/g1^22+g1^64*t^6.41+g1^42*t^6.45+3*g1^20*t^6.5+t^6.55/g1^2+(2*t^6.6)/g1^24+2*g1^40*t^7.+g1^18*t^7.05+(3*t^7.1)/g1^4-t^7.15/g1^26+g1^60*t^7.5+2*g1^38*t^7.55+5*g1^16*t^7.6+(2*t^7.65)/g1^6+t^7.7/g1^28+3*g1^36*t^8.1+g1^14*t^8.15+(2*t^8.2)/g1^8-t^8.25/g1^30+3*g1^56*t^8.6+2*g1^34*t^8.65+3*g1^12*t^8.7+(3*t^8.8)/g1^32+t^8.2/(g1^8*y^2)-t^8.75/(g1^10*y^2)-t^3.55/(g1^2*y)-t^4.65/(g1^6*y)-t^5.75/(g1^10*y)-(g1^10*t^6.25)/y-(g1^30*t^6.75)/y-(g1^8*t^6.8)/y-(2*t^6.85)/(g1^14*y)-(g1^6*t^7.35)/y-(g1^26*t^7.85)/y-(2*t^7.95)/(g1^18*y)+(g1^24*t^8.4)/y+t^8.5/(g1^20*y)+(g1^44*t^8.9)/y-(g1^22*t^8.95)/y-(t^3.55*y)/g1^2-(t^4.65*y)/g1^6-(t^5.75*y)/g1^10-g1^10*t^6.25*y-g1^30*t^6.75*y-g1^8*t^6.8*y-(2*t^6.85*y)/g1^14-g1^6*t^7.35*y-g1^26*t^7.85*y-(2*t^7.95*y)/g1^18+g1^24*t^8.4*y+(t^8.5*y)/g1^20+g1^44*t^8.9*y-g1^22*t^8.95*y+(t^8.2*y^2)/g1^8-(t^8.75*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 |
|---|---|---|---|---|---|---|---|---|
| 8197 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ | 1.1667 | 1.2917 | 0.9032 | [X:[1.6363], M:[0.9092], q:[0.4546, 0.4544], qb:[], phi:[0.1818]] | t^2.18+2*t^2.73+2*t^3.27+t^3.82+4*t^4.36+3*t^4.91+3*t^5.45+2*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 | |
| 8199 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1^2$ | 1.1682 | 1.2974 | 0.9004 | [X:[1.6302], M:[0.8905], q:[0.4623, 0.4283], qb:[], phi:[0.1849]] | t^2.22+2*t^2.67+t^3.12+t^3.23+t^3.78+t^4.23+t^4.34+2*t^4.44+3*t^4.89+4*t^5.34+t^5.45+2*t^5.8+t^5.9-t^6.-t^3.55/y-t^4.66/y-t^5.77/y-t^3.55*y-t^4.66*y-t^5.77*y | detail | |
| 8196 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ | 1.168 | 1.293 | 0.9033 | [X:[1.6419], M:[0.8647], q:[0.4476, 0.4781], qb:[], phi:[0.179]] | t^2.15+t^2.59+t^2.78+t^3.22+t^3.31+t^3.85+2*t^4.3+t^4.39+t^4.48+t^4.74+2*t^4.93+t^5.19+2*t^5.37+t^5.46+t^5.55+t^5.82-t^3.54/y-t^4.61/y-t^5.69/y-t^3.54*y-t^4.61*y-t^5.69*y | detail | |
| 8201 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ | 1.1784 | 1.3155 | 0.8958 | [X:[1.6343], M:[0.7314], q:[0.4571, 0.4458], qb:[], phi:[0.1828]] | 2*t^2.19+t^2.71+t^3.22+t^3.26+t^3.29+t^4.32+t^4.35+4*t^4.39+3*t^4.9+3*t^5.42+2*t^5.45+2*t^5.49+t^5.93-t^6.-t^3.55/y-t^4.65/y-(2*t^5.74)/y-t^3.55*y-t^4.65*y-2*t^5.74*y | detail | |
| 8202 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^4$ | 1.1391 | 1.2437 | 0.9158 | [X:[1.6325], M:[1.2651], q:[0.4593, 0.4383], qb:[], phi:[0.1837]] | t^2.69+t^3.18+t^3.24+t^3.31+2*t^3.8+t^4.28+t^4.35+t^4.41+t^4.9+t^5.39+t^5.87-t^6.-t^3.55/y-t^4.65/y-t^3.55*y-t^4.65*y | detail | |
| 8200 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ \phi_1q_2^2$ + $ \phi_1^4X_2$ | 0.7632 | 0.7944 | 0.9607 | [X:[1.75, 1.5], M:[], q:[0.3125, 0.9375], qb:[], phi:[0.125]] | t^2.25+t^3.+t^3.75+2*t^4.5+t^5.25+t^6.-t^3.38/y-t^4.12/y-t^5.62/y-t^3.38*y-t^4.12*y-t^5.62*y | detail | {a: 1563/2048, c: 1627/2048, X1: 7/4, X2: 3/2, q1: 5/16, q2: 15/16, phi1: 1/8} |
| 8198 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ \phi_1^5q_1^2$ | 1.113 | 1.2505 | 0.89 | [X:[1.6], M:[], q:[0.5, 0.3], qb:[], phi:[0.2]] | 3*t^2.4+t^3.+3*t^3.6+t^4.2+8*t^4.8+2*t^5.4+7*t^6.-t^3.6/y-t^4.8/y-(3*t^6.)/y-t^3.6*y-t^4.8*y-3*t^6.*y | detail | {a: 1113/1000, c: 2501/2000, X1: 8/5, q1: 1/2, q2: 3/10, phi1: 1/5} |
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 |