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 |