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 |
|---|---|---|---|---|---|---|---|---|---|
| 8436 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ | 1.1723 | 1.2973 | 0.9036 | [X:[1.6599], M:[1.0202, 0.8501, 0.8501], q:[0.4899, 0.4899], qb:[], phi:[0.17]] | [X:[[0, 2]], M:[[0, -6], [2, -11], [-2, 1]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_2$, $ M_3$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1^2q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ M_2\phi_1^4$, $ M_3\phi_1^4$, $ X_1$, $ M_2^2$, $ M_2M_3$, $ M_1\phi_1^4$, $ M_3^2$, $ \phi_1^5q_1q_2$, $ M_1M_2$, $ M_1M_3$ | $M_2\phi_1q_1q_2$, $ M_3\phi_1q_1q_2$, $ \phi_1^6q_1q_2$ | -1 | t^2.04 + 2*t^2.55 + t^3.06 + t^3.45 + t^3.96 + t^4.08 + 3*t^4.47 + 2*t^4.59 + t^4.98 + 4*t^5.1 + t^5.49 + 2*t^5.61 - t^6. + 2*t^6.12 + 3*t^6.51 + 2*t^6.63 + t^6.9 + 5*t^7.02 + 4*t^7.14 + t^7.41 + 3*t^7.53 + 6*t^7.65 + 3*t^7.92 + t^8.04 + 5*t^8.16 + t^8.43 - 3*t^8.55 + 4*t^8.67 + 6*t^8.94 + t^8.04/y^2 - t^8.55/y^2 - t^3.51/y - t^4.53/y - t^5.55/y - (2*t^6.06)/y - (2*t^6.57)/y - t^6.96/y - (2*t^7.08)/y - t^7.98/y + t^8.49/y - (3*t^8.61)/y - t^3.51*y - t^4.53*y - t^5.55*y - 2*t^6.06*y - 2*t^6.57*y - t^6.96*y - 2*t^7.08*y - t^7.98*y + t^8.49*y - 3*t^8.61*y + t^8.04*y^2 - t^8.55*y^2 | t^2.04/g2^4 + (g1^2*t^2.55)/g2^11 + (g2*t^2.55)/g1^2 + t^3.06/g2^6 + g2^5*t^3.45 + g2^4*t^3.96 + t^4.08/g2^8 + (g1^2*t^4.47)/g2^3 + g2^3*t^4.47 + (g2^9*t^4.47)/g1^2 + (g1^2*t^4.59)/g2^15 + t^4.59/(g1^2*g2^3) + g2^2*t^4.98 + (g1^4*t^5.1)/g2^22 + (2*t^5.1)/g2^10 + (g2^2*t^5.1)/g1^4 + g2*t^5.49 + (g1^2*t^5.61)/g2^17 + t^5.61/(g1^2*g2^5) - t^6. + (2*t^6.12)/g2^12 + (g1^2*t^6.51)/g2^7 + t^6.51/g2 + (g2^5*t^6.51)/g1^2 + (g1^2*t^6.63)/g2^19 + t^6.63/(g1^2*g2^7) + g2^10*t^6.9 + (g1^4*t^7.02)/g2^14 + (3*t^7.02)/g2^2 + (g2^10*t^7.02)/g1^4 + (g1^4*t^7.14)/g2^26 + (2*t^7.14)/g2^14 + t^7.14/(g1^4*g2^2) + g2^9*t^7.41 + (g1^2*t^7.53)/g2^9 + t^7.53/g2^3 + (g2^3*t^7.53)/g1^2 + (g1^6*t^7.65)/g2^33 + (2*g1^2*t^7.65)/g2^21 + (2*t^7.65)/(g1^2*g2^9) + (g2^3*t^7.65)/g1^6 + g1^2*g2^2*t^7.92 + g2^8*t^7.92 + (g2^14*t^7.92)/g1^2 + t^8.04/g2^4 + (g1^4*t^8.16)/g2^28 + (3*t^8.16)/g2^16 + t^8.16/(g1^4*g2^4) + g2^7*t^8.43 - (g1^2*t^8.55)/g2^11 - t^8.55/g2^5 - (g2*t^8.55)/g1^2 + (2*g1^2*t^8.67)/g2^23 + (2*t^8.67)/(g1^2*g2^11) + g1^2*t^8.94 + (g1^4*t^8.94)/g2^6 + 2*g2^6*t^8.94 + (g2^12*t^8.94)/g1^2 + (g2^18*t^8.94)/g1^4 + t^8.04/(g2^4*y^2) - t^8.55/(g2^5*y^2) - t^3.51/(g2*y) - t^4.53/(g2^3*y) - t^5.55/(g2^5*y) - t^6.06/(g1^2*y) - (g1^2*t^6.06)/(g2^12*y) - (2*t^6.57)/(g2^7*y) - (g2^4*t^6.96)/y - (g1^2*t^7.08)/(g2^14*y) - t^7.08/(g1^2*g2^2*y) + (g1^2*t^7.59)/(g2^15*y) - (2*t^7.59)/(g2^9*y) + t^7.59/(g1^2*g2^3*y) - (g2^2*t^7.98)/y - (g1^2*t^8.1)/(g2^16*y) + (2*t^8.1)/(g2^10*y) - t^8.1/(g1^2*g2^4*y) + (g2*t^8.49)/y - (g1^4*t^8.61)/(g2^23*y) + (g1^2*t^8.61)/(g2^17*y) - (3*t^8.61)/(g2^11*y) + t^8.61/(g1^2*g2^5*y) - (g2*t^8.61)/(g1^4*y) - (t^3.51*y)/g2 - (t^4.53*y)/g2^3 - (t^5.55*y)/g2^5 - (t^6.06*y)/g1^2 - (g1^2*t^6.06*y)/g2^12 - (2*t^6.57*y)/g2^7 - g2^4*t^6.96*y - (g1^2*t^7.08*y)/g2^14 - (t^7.08*y)/(g1^2*g2^2) + (g1^2*t^7.59*y)/g2^15 - (2*t^7.59*y)/g2^9 + (t^7.59*y)/(g1^2*g2^3) - g2^2*t^7.98*y - (g1^2*t^8.1*y)/g2^16 + (2*t^8.1*y)/g2^10 - (t^8.1*y)/(g1^2*g2^4) + g2*t^8.49*y - (g1^4*t^8.61*y)/g2^23 + (g1^2*t^8.61*y)/g2^17 - (3*t^8.61*y)/g2^11 + (t^8.61*y)/(g1^2*g2^5) - (g2*t^8.61*y)/g1^4 + (t^8.04*y^2)/g2^4 - (t^8.55*y^2)/g2^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8597 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ | 1.1008 | 1.2258 | 0.898 | [X:[1.5882], M:[1.2353, 1.1765, 0.8824], q:[0.3088, 0.4559], qb:[], phi:[0.2059]] | t^2.47 + t^2.65 + t^2.91 + 2*t^3.53 + 2*t^3.71 + t^4.15 + t^4.59 + t^4.76 + t^4.94 + t^5.12 + t^5.29 + t^5.38 + t^5.82 - t^3.62/y - t^4.85/y - t^3.62*y - t^4.85*y | detail | {a: 20361/18496, c: 22673/18496, X1: 27/17, M1: 21/17, M2: 20/17, M3: 15/17, q1: 21/68, q2: 31/68, phi1: 7/34} |
| 8598 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2^2$ | 1.1578 | 1.2828 | 0.9026 | [X:[1.6356], M:[1.0933, 1.0, 0.8222], q:[0.4089, 0.4978], qb:[], phi:[0.1822]] | t^2.19 + t^2.47 + t^3. + t^3.27 + t^3.28 + t^3.81 + t^4.09 + t^4.36 + t^4.37 + t^4.63 + t^4.65 + t^4.91 + t^4.93 + t^5.19 + t^5.45 + 2*t^5.47 + t^5.75 - 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 | |
| 8605 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_1q_2$ + $ \phi_1^4X_2$ | 1.1654 | 1.28 | 0.9104 | [X:[1.6684, 1.3367], M:[0.9949, 0.8291, 0.8291, 0.8291], q:[0.5026, 0.5026], qb:[], phi:[0.1658]] | 3*t^2.49 + t^2.98 + 2*t^4.01 + 3*t^4.51 + 6*t^4.97 + t^5.01 + 3*t^5.47 + t^5.97 - 4*t^6. - t^3.5/y - t^4.49/y - (3*t^5.98)/y - t^3.5*y - t^4.49*y - 3*t^5.98*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8219 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ | 1.1618 | 1.2816 | 0.9065 | [X:[1.649], M:[1.0529, 0.8372], q:[0.4937, 0.4535], qb:[], phi:[0.1755]] | t^2.11 + t^2.51 + t^3.16 + t^3.25 + t^3.37 + t^3.89 + t^4.21 + t^4.3 + t^4.42 + t^4.54 + t^4.62 + t^4.95 + t^5.02 + t^5.26 + t^5.35 + t^5.47 + t^5.67 + t^5.76 - t^6. - t^3.53/y - t^4.58/y - t^5.63/y - t^3.53*y - t^4.58*y - t^5.63*y | detail |