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 |
|---|---|---|---|---|---|---|---|---|---|
| 8201 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \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]] | [X:[[4]], M:[[-8]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^4$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ M_1^2$, $ M_1\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ M_1q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ q_1^2q_2^2$, $ M_1\phi_1q_1q_2$, $ \phi_1^5q_1q_2$, $ M_1\phi_1q_1^2$, $ \phi_1^5q_1^2$, $ \phi_1q_1q_2^3$ | . | -1 | 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^6.03+t^6.45+t^6.48+3*t^6.51+2*t^6.55+6*t^6.58+t^7.03+5*t^7.1-t^7.13+t^7.54+2*t^7.58+7*t^7.61+4*t^7.65+3*t^7.68+3*t^8.13-t^8.19-2*t^8.23+4*t^8.64+3*t^8.67+4*t^8.71+9*t^8.78+t^8.19/y^2-(2*t^8.74)/y^2-t^3.55/y-t^4.65/y-(2*t^5.74)/y-t^6.26/y-t^6.77/y-t^6.81/y-(3*t^6.84)/y+t^7.39/y-t^7.87/y+t^7.9/y-(4*t^7.94)/y+(2*t^8.42)/y+t^8.45/y+(2*t^8.49)/y+t^8.93/y-(2*t^8.97)/y-t^3.55*y-t^4.65*y-2*t^5.74*y-t^6.26*y-t^6.77*y-t^6.81*y-3*t^6.84*y+t^7.39*y-t^7.87*y+t^7.9*y-4*t^7.94*y+2*t^8.42*y+t^8.45*y+2*t^8.49*y+t^8.93*y-2*t^8.97*y+t^8.19*y^2-2*t^8.74*y^2 | (2*t^2.19)/g1^8+g1^12*t^2.71+g1^32*t^3.22+g1^10*t^3.26+t^3.29/g1^12+g1^28*t^4.32+g1^6*t^4.35+(4*t^4.39)/g1^16+3*g1^4*t^4.9+3*g1^24*t^5.42+2*g1^2*t^5.45+(2*t^5.49)/g1^20+g1^44*t^5.93-t^6.-t^6.03/g1^22+g1^64*t^6.45+g1^42*t^6.48+3*g1^20*t^6.51+(2*t^6.55)/g1^2+(6*t^6.58)/g1^24+g1^40*t^7.03+(5*t^7.1)/g1^4-t^7.13/g1^26+g1^60*t^7.54+2*g1^38*t^7.58+7*g1^16*t^7.61+(4*t^7.65)/g1^6+(3*t^7.68)/g1^28+3*g1^36*t^8.13-t^8.19/g1^8-(2*t^8.23)/g1^30+4*g1^56*t^8.64+3*g1^34*t^8.67+4*g1^12*t^8.71+(9*t^8.78)/g1^32+t^8.19/(g1^8*y^2)-(2*t^8.74)/(g1^10*y^2)-t^3.55/(g1^2*y)-t^4.65/(g1^6*y)-(2*t^5.74)/(g1^10*y)-(g1^10*t^6.26)/y-(g1^30*t^6.77)/y-(g1^8*t^6.81)/y-(3*t^6.84)/(g1^14*y)+t^7.39/(g1^16*y)-(g1^26*t^7.87)/y+(g1^4*t^7.9)/y-(4*t^7.94)/(g1^18*y)+(2*g1^24*t^8.42)/y+(g1^2*t^8.45)/y+(2*t^8.49)/(g1^20*y)+(g1^44*t^8.93)/y-(2*g1^22*t^8.97)/y-(t^3.55*y)/g1^2-(t^4.65*y)/g1^6-(2*t^5.74*y)/g1^10-g1^10*t^6.26*y-g1^30*t^6.77*y-g1^8*t^6.81*y-(3*t^6.84*y)/g1^14+(t^7.39*y)/g1^16-g1^26*t^7.87*y+g1^4*t^7.9*y-(4*t^7.94*y)/g1^18+2*g1^24*t^8.42*y+g1^2*t^8.45*y+(2*t^8.49*y)/g1^20+g1^44*t^8.93*y-2*g1^22*t^8.97*y+(t^8.19*y^2)/g1^8-(2*t^8.74*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 |
|---|---|---|---|---|---|---|---|---|
| 8353 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ + $ M_1\phi_1q_1^2$ | 1.1295 | 1.2795 | 0.8828 | [X:[1.6], M:[0.8], q:[0.5, 0.3], qb:[], phi:[0.2]] | 4*t^2.4+t^3.+2*t^3.6+t^4.2+12*t^4.8+3*t^5.4+6*t^6.-t^3.6/y-t^4.8/y-(4*t^6.)/y-t^3.6*y-t^4.8*y-4*t^6.*y | detail | {a: 2259/2000, c: 2559/2000, X1: 8/5, M1: 4/5, q1: 1/2, q2: 3/10, phi1: 1/5} |
| 8370 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ + $ M_2\phi_1q_1q_2$ | 1.1866 | 1.3285 | 0.8932 | [X:[1.6371], M:[0.7257, 0.9072], q:[0.4536, 0.4578], qb:[], phi:[0.1814]] | 2*t^2.18+t^2.72+t^2.73+t^3.27+t^3.29+4*t^4.35+t^4.37+t^4.38+2*t^4.9+3*t^4.91+3*t^5.44+t^5.46+3*t^5.47-t^6.-t^3.54/y-t^4.63/y-(2*t^5.72)/y-t^3.54*y-t^4.63*y-2*t^5.72*y | detail | |
| 8373 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ + $ M_2\phi_1q_1^2$ | 1.1877 | 1.3327 | 0.8912 | [X:[1.6311], M:[0.7378, 0.8933], q:[0.4611, 0.4321], qb:[], phi:[0.1845]] | 2*t^2.21+2*t^2.68+t^3.15+t^3.23+t^4.25+t^4.34+4*t^4.43+5*t^4.89+5*t^5.36+2*t^5.45+2*t^5.83+t^5.91-2*t^6.-t^3.55/y-t^4.66/y-(2*t^5.77)/y-t^3.55*y-t^4.66*y-2*t^5.77*y | detail | |
| 8367 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ + $ M_2\phi_1q_2^2$ | 1.1882 | 1.331 | 0.8927 | [X:[1.6425], M:[0.715, 0.86], q:[0.4469, 0.4806], qb:[], phi:[0.1788]] | 2*t^2.15+t^2.58+t^2.78+t^3.22+t^3.32+4*t^4.29+t^4.39+t^4.49+2*t^4.73+3*t^4.93+t^5.16+3*t^5.36+2*t^5.46+t^5.56+t^5.8-t^6.-t^3.54/y-t^4.61/y-(2*t^5.68)/y-t^3.54*y-t^4.61*y-2*t^5.68*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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 |