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 |
|---|---|---|---|---|---|---|---|---|---|
| 8583 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_3^2$ | 1.1481 | 1.265 | 0.9076 | [X:[1.626], M:[1.2519, 0.8702, 1.0], q:[0.4714, 0.4065], qb:[], phi:[0.187]] | [X:[[4]], M:[[8], [-20], [0]], q:[[11], [1]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ q_1q_2$, $ M_3$, $ \phi_1q_1q_2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ X_1$, $ M_2^2$, $ M_2q_1q_2$, $ q_1^2q_2^2$, $ M_2M_3$, $ M_3q_1q_2$, $ \phi_1q_1^2q_2^2$ | . | -1 | t^2.61 + t^2.63 + t^3. + t^3.19 + 2*t^3.76 + t^4.12 + t^4.32 + t^4.51 + t^4.88 + t^5.22 + t^5.24 + t^5.27 + t^5.61 + t^5.63 + t^5.83 - t^6. + t^6.37 + 3*t^6.39 - t^6.56 + t^6.73 + 2*t^6.76 + 3*t^6.95 + t^7.12 + t^7.15 + t^7.32 + 5*t^7.51 - t^7.68 + t^7.71 + t^7.83 + t^7.85 + 2*t^7.88 + t^7.9 + 2*t^8.07 + t^8.22 + 3*t^8.24 + 2*t^8.27 + t^8.44 + t^8.46 - t^8.61 + t^8.63 + t^8.83 + t^8.98 + t^8.24/y^2 - t^3.56/y - t^4.68/y - t^6.17/y - t^6.19/y - t^6.56/y - t^6.76/y - t^7.29/y - (2*t^7.32)/y - t^7.68/y - t^7.88/y + t^8.24/y - t^8.44/y + t^8.61/y + t^8.63/y - t^8.78/y - t^3.56*y - t^4.68*y - t^6.17*y - t^6.19*y - t^6.56*y - t^6.76*y - t^7.29*y - 2*t^7.32*y - t^7.68*y - t^7.88*y + t^8.24*y - t^8.44*y + t^8.61*y + t^8.63*y - t^8.78*y + t^8.24*y^2 | t^2.61/g1^20 + g1^12*t^2.63 + t^3. + g1^10*t^3.19 + 2*g1^8*t^3.76 + t^4.12/g1^4 + g1^6*t^4.32 + g1^16*t^4.51 + g1^4*t^4.88 + t^5.22/g1^40 + t^5.24/g1^8 + g1^24*t^5.27 + t^5.61/g1^20 + g1^12*t^5.63 + g1^22*t^5.83 - t^6. + t^6.37/g1^12 + 3*g1^20*t^6.39 - t^6.56/g1^2 + t^6.73/g1^24 + 2*g1^8*t^6.76 + 3*g1^18*t^6.95 + t^7.12/g1^4 + g1^28*t^7.15 + g1^6*t^7.32 + 5*g1^16*t^7.51 - t^7.68/g1^6 + g1^26*t^7.71 + t^7.83/g1^60 + t^7.85/g1^28 + 2*g1^4*t^7.88 + g1^36*t^7.9 + 2*g1^14*t^8.07 + t^8.22/g1^40 + (3*t^8.24)/g1^8 + 2*g1^24*t^8.27 + g1^2*t^8.44 + g1^34*t^8.46 - t^8.61/g1^20 + g1^12*t^8.63 + g1^22*t^8.83 + t^8.98/g1^32 + t^8.24/(g1^8*y^2) - t^3.56/(g1^2*y) - t^4.68/(g1^6*y) - t^6.17/(g1^22*y) - (g1^10*t^6.19)/y - t^6.56/(g1^2*y) - (g1^8*t^6.76)/y - t^7.29/(g1^26*y) - (2*g1^6*t^7.32)/y - t^7.68/(g1^6*y) - (g1^4*t^7.88)/y + t^8.24/(g1^8*y) - (g1^2*t^8.44)/y + t^8.61/(g1^20*y) + (g1^12*t^8.63)/y - t^8.78/(g1^42*y) - (t^3.56*y)/g1^2 - (t^4.68*y)/g1^6 - (t^6.17*y)/g1^22 - g1^10*t^6.19*y - (t^6.56*y)/g1^2 - g1^8*t^6.76*y - (t^7.29*y)/g1^26 - 2*g1^6*t^7.32*y - (t^7.68*y)/g1^6 - g1^4*t^7.88*y + (t^8.24*y)/g1^8 - g1^2*t^8.44*y + (t^8.61*y)/g1^20 + g1^12*t^8.63*y - (t^8.78*y)/g1^42 + (t^8.24*y^2)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8757 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_3^2$ + $ M_4\phi_1q_1q_2$ | 1.1548 | 1.2748 | 0.9059 | [X:[1.6325], M:[1.2651, 0.8373, 1.0, 0.9187], q:[0.4895, 0.4081], qb:[], phi:[0.1837]] | t^2.51 + t^2.69 + t^2.76 + t^3. + 2*t^3.8 + t^4.1 + t^4.35 + t^4.59 + t^4.9 + t^5.02 + t^5.2 + t^5.27 + t^5.39 + t^5.45 + 2*t^5.51 + t^5.69 - t^6. - t^3.55/y - t^4.65/y - t^3.55*y - t^4.65*y | detail | |
| 8756 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_3^2$ + $ \phi_1q_1^2q_2^2$ | 1.1463 | 1.2599 | 0.9098 | [X:[1.6364], M:[1.2727, 0.8182, 1.0], q:[0.5, 0.4091], qb:[], phi:[0.1818]] | t^2.45 + t^2.73 + t^3. + t^3.27 + 2*t^3.82 + t^4.09 + t^4.36 + t^4.64 + 2*t^4.91 + t^5.18 + 2*t^5.45 + t^5.73 - t^3.55/y - t^4.64/y - t^6./y - t^3.55*y - t^4.64*y - t^6.*y | detail | {a: 24411/21296, c: 26831/21296, X1: 18/11, M1: 14/11, M2: 9/11, M3: 1, q1: 1/2, q2: 9/22, phi1: 2/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8429 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ | 1.1558 | 1.2669 | 0.9123 | [X:[1.6444], M:[1.2887, 0.8891, 0.8891], q:[0.4665, 0.4665], qb:[], phi:[0.1778]] | 2*t^2.67 + t^2.8 + t^3.33 + 2*t^3.87 + 3*t^4.4 + t^4.93 + 3*t^5.33 + 2*t^5.47 + t^5.6 - 2*t^6. - t^3.53/y - t^4.6/y - t^3.53*y - t^4.6*y | detail |