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 |
|---|---|---|---|---|---|---|---|---|---|
| 8799 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1^4$ + $ M_4\phi_1^3q_2^2$ | 1.1239 | 1.2704 | 0.8847 | [X:[1.582], M:[0.9259, 1.164, 1.164, 0.746], q:[0.4326, 0.3135], qb:[], phi:[0.209]] | [X:[[4]], M:[[-28], [8], [8], [12]], q:[[15], [-3]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_1q_2$, $ M_1$, $ \phi_1q_1q_2$, $ M_2$, $ M_3$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1q_2$, $ M_4^2$, $ \phi_1^3q_1^2$, $ M_4q_1q_2$, $ q_1^2q_2^2$, $ X_1$, $ M_1M_4$, $ M_1q_1q_2$, $ M_4\phi_1q_1q_2$, $ \phi_1q_1^2q_2^2$, $ M_1^2$, $ M_2M_4$, $ M_3M_4$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ M_4\phi_1^2q_1q_2$, $ \phi_1^2q_1^2q_2^2$ | . | -2 | 2*t^2.24 + t^2.78 + t^2.87 + 3*t^3.49 + t^4.12 + 4*t^4.48 + t^4.75 + 2*t^5.02 + 2*t^5.1 + t^5.56 + 7*t^5.73 - 2*t^6. + 2*t^6.27 + 4*t^6.36 - t^6.63 + 6*t^6.71 + 7*t^6.98 + 2*t^7.25 + 4*t^7.34 + 2*t^7.61 + 2*t^7.79 - t^7.88 + 13*t^7.97 - 3*t^8.24 + t^8.33 + 4*t^8.51 + 9*t^8.6 - 2*t^8.78 - 8*t^8.87 + 9*t^8.95 + t^8.51/y^2 - (2*t^8.87)/y^2 - t^3.63/y - t^4.88/y - (2*t^5.87)/y - t^6.4/y - t^6.49/y - (4*t^7.12)/y + t^7.39/y + t^7.48/y - t^7.66/y - t^7.75/y + (2*t^8.02)/y - t^8.1/y - (2*t^8.37)/y + (4*t^8.73)/y - t^3.63*y - t^4.88*y - 2*t^5.87*y - t^6.4*y - t^6.49*y - 4*t^7.12*y + t^7.39*y + t^7.48*y - t^7.66*y - t^7.75*y + 2*t^8.02*y - t^8.1*y - 2*t^8.37*y + 4*t^8.73*y + t^8.51*y^2 - 2*t^8.87*y^2 | 2*g1^12*t^2.24 + t^2.78/g1^28 + g1^10*t^2.87 + 3*g1^8*t^3.49 + g1^6*t^4.12 + 4*g1^24*t^4.48 + g1^4*t^4.75 + (2*t^5.02)/g1^16 + 2*g1^22*t^5.1 + t^5.56/g1^56 + 7*g1^20*t^5.73 - 2*t^6. + (2*t^6.27)/g1^20 + 4*g1^18*t^6.36 - t^6.63/g1^2 + 6*g1^36*t^6.71 + 7*g1^16*t^6.98 + (2*t^7.25)/g1^4 + 4*g1^34*t^7.34 + 2*g1^14*t^7.61 + (2*t^7.79)/g1^44 - t^7.88/g1^6 + 13*g1^32*t^7.97 - 3*g1^12*t^8.24 + t^8.33/g1^84 + (4*t^8.51)/g1^8 + 9*g1^30*t^8.6 - (2*t^8.78)/g1^28 - 8*g1^10*t^8.87 + 9*g1^48*t^8.95 + t^8.51/(g1^8*y^2) - (2*g1^10*t^8.87)/y^2 - t^3.63/(g1^2*y) - t^4.88/(g1^6*y) - (2*g1^10*t^5.87)/y - t^6.4/(g1^30*y) - (g1^8*t^6.49)/y - (4*g1^6*t^7.12)/y + t^7.39/(g1^14*y) + (g1^24*t^7.48)/y - t^7.66/(g1^34*y) - (g1^4*t^7.75)/y + (2*t^8.02)/(g1^16*y) - (g1^22*t^8.1)/y - (2*g1^2*t^8.37)/y + (4*g1^20*t^8.73)/y - (t^3.63*y)/g1^2 - (t^4.88*y)/g1^6 - 2*g1^10*t^5.87*y - (t^6.4*y)/g1^30 - g1^8*t^6.49*y - 4*g1^6*t^7.12*y + (t^7.39*y)/g1^14 + g1^24*t^7.48*y - (t^7.66*y)/g1^34 - g1^4*t^7.75*y + (2*t^8.02*y)/g1^16 - g1^22*t^8.1*y - 2*g1^2*t^8.37*y + 4*g1^20*t^8.73*y + (t^8.51*y^2)/g1^8 - 2*g1^10*t^8.87*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8893 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1^4$ + $ M_4\phi_1^3q_2^2$ + $ M_1^2$ | 1.1202 | 1.272 | 0.8807 | [X:[1.5714], M:[1.0, 1.1429, 1.1429, 0.7143], q:[0.3929, 0.3214], qb:[], phi:[0.2143]] | 2*t^2.14 + t^2.79 + t^3. + 3*t^3.43 + t^4.07 + 4*t^4.29 + t^4.71 + 2*t^4.93 + 2*t^5.14 + 7*t^5.57 - t^6. - t^3.64/y - t^4.93/y - (2*t^5.79)/y - t^3.64*y - t^4.93*y - 2*t^5.79*y | detail | {a: 3513/3136, c: 3989/3136, X1: 11/7, M1: 1, M2: 8/7, M3: 8/7, M4: 5/7, q1: 11/28, q2: 9/28, phi1: 3/14} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8634 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1^4$ | 1.1048 | 1.2349 | 0.8947 | [X:[1.5839], M:[0.9128, 1.1678, 1.1678], q:[0.4396, 0.3121], qb:[], phi:[0.2081]] | t^2.26 + t^2.74 + t^2.88 + 3*t^3.5 + t^3.74 + t^4.13 + 2*t^4.51 + t^4.75 + t^4.99 + t^5.13 + t^5.48 + 4*t^5.76 - t^6. - t^3.62/y - t^4.87/y - t^5.88/y - t^3.62*y - t^4.87*y - t^5.88*y | detail |