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 |
|---|---|---|---|---|---|---|---|---|---|
| 8605 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ 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]] | [X:[[0, 2], [0, 4]], M:[[0, -6], [2, -11], [-2, 1], [0, -5]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_3$, $ M_1$, $ \phi_1^2q_1q_2$, $ X_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ M_2^2$, $ M_2M_4$, $ M_2M_3$, $ M_4^2$, $ M_3M_4$, $ M_3^2$, $ X_1$, $ M_1M_2$, $ M_1M_4$, $ M_1M_3$, $ M_1^2$ | . | -4 | 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. + 3*t^6.5 + 8*t^6.99 + 10*t^7.46 + 3*t^7.49 + 6*t^7.96 + 2*t^7.99 + 2*t^8.02 + 3*t^8.46 - 11*t^8.49 + 3*t^8.52 + t^8.95 - 4*t^8.98 + t^7.99/y^2 - (3*t^8.98)/y^2 - t^3.5/y - t^4.49/y - (3*t^5.98)/y - t^6.48/y - (3*t^6.98)/y - t^7.48/y - t^7.51/y + (3*t^7.97)/y - (3*t^8.47)/y - t^8.5/y - (3*t^8.97)/y - t^3.5*y - t^4.49*y - 3*t^5.98*y - t^6.48*y - 3*t^6.98*y - t^7.48*y - t^7.51*y + 3*t^7.97*y - 3*t^8.47*y - t^8.5*y - 3*t^8.97*y + t^7.99*y^2 - 3*t^8.98*y^2 | (g1^2*t^2.49)/g2^11 + t^2.49/g2^5 + (g2*t^2.49)/g1^2 + t^2.98/g2^6 + 2*g2^4*t^4.01 + (g1^2*t^4.51)/g2^3 + g2^3*t^4.51 + (g2^9*t^4.51)/g1^2 + (g1^4*t^4.97)/g2^22 + (g1^2*t^4.97)/g2^16 + (2*t^4.97)/g2^10 + t^4.97/(g1^2*g2^4) + (g2^2*t^4.97)/g1^4 + g2^2*t^5.01 + (g1^2*t^5.47)/g2^17 + t^5.47/g2^11 + t^5.47/(g1^2*g2^5) + t^5.97/g2^12 - 2*t^6. - (g1^2*t^6.)/g2^6 - (g2^6*t^6.)/g1^2 + (g1^2*t^6.5)/g2^7 + t^6.5/g2 + (g2^5*t^6.5)/g1^2 + (g1^4*t^6.99)/g2^14 + (g1^2*t^6.99)/g2^8 + (4*t^6.99)/g2^2 + (g2^4*t^6.99)/g1^2 + (g2^10*t^6.99)/g1^4 + (g1^6*t^7.46)/g2^33 + (g1^4*t^7.46)/g2^27 + (2*g1^2*t^7.46)/g2^21 + (2*t^7.46)/g2^15 + (2*t^7.46)/(g1^2*g2^9) + t^7.46/(g1^4*g2^3) + (g2^3*t^7.46)/g1^6 + (g1^2*t^7.49)/g2^9 + t^7.49/g2^3 + (g2^3*t^7.49)/g1^2 + (g1^4*t^7.96)/g2^28 + (g1^2*t^7.96)/g2^22 + (2*t^7.96)/g2^16 + t^7.96/(g1^2*g2^10) + t^7.96/(g1^4*g2^4) + (2*t^7.99)/g2^4 + 2*g2^8*t^8.02 + (g1^2*t^8.46)/g2^23 + t^8.46/g2^17 + t^8.46/(g1^2*g2^11) - (g1^4*t^8.49)/g2^17 - (3*g1^2*t^8.49)/g2^11 - (3*t^8.49)/g2^5 - (3*g2*t^8.49)/g1^2 - (g2^7*t^8.49)/g1^4 + g1^2*g2*t^8.52 + g2^7*t^8.52 + (g2^13*t^8.52)/g1^2 + t^8.95/g2^18 - (2*t^8.98)/g1^2 + (g1^4*t^8.98)/g2^18 - (2*g1^2*t^8.98)/g2^12 - (2*t^8.98)/g2^6 + (g2^6*t^8.98)/g1^4 + t^7.99/(g2^4*y^2) - t^8.98/(g1^2*y^2) - (g1^2*t^8.98)/(g2^12*y^2) - t^8.98/(g2^6*y^2) - t^3.5/(g2*y) - t^4.49/(g2^3*y) - t^5.98/(g1^2*y) - (g1^2*t^5.98)/(g2^12*y) - t^5.98/(g2^6*y) - t^6.48/(g2^7*y) - (g1^2*t^6.98)/(g2^14*y) - t^6.98/(g2^8*y) - t^6.98/(g1^2*g2^2*y) - t^7.48/(g2^9*y) - (g2^3*t^7.51)/y + (g1^2*t^7.97)/(g2^16*y) + t^7.97/(g2^10*y) + t^7.97/(g1^2*g2^4*y) - (g1^4*t^8.47)/(g2^23*y) - t^8.47/(g2^11*y) - (g2*t^8.47)/(g1^4*y) - (g2*t^8.5)/y - (g1^2*t^8.97)/(g2^18*y) - t^8.97/(g2^12*y) - t^8.97/(g1^2*g2^6*y) - (t^3.5*y)/g2 - (t^4.49*y)/g2^3 - (t^5.98*y)/g1^2 - (g1^2*t^5.98*y)/g2^12 - (t^5.98*y)/g2^6 - (t^6.48*y)/g2^7 - (g1^2*t^6.98*y)/g2^14 - (t^6.98*y)/g2^8 - (t^6.98*y)/(g1^2*g2^2) - (t^7.48*y)/g2^9 - g2^3*t^7.51*y + (g1^2*t^7.97*y)/g2^16 + (t^7.97*y)/g2^10 + (t^7.97*y)/(g1^2*g2^4) - (g1^4*t^8.47*y)/g2^23 - (t^8.47*y)/g2^11 - (g2*t^8.47*y)/g1^4 - g2*t^8.5*y - (g1^2*t^8.97*y)/g2^18 - (t^8.97*y)/g2^12 - (t^8.97*y)/(g1^2*g2^6) + (t^7.99*y^2)/g2^4 - (t^8.98*y^2)/g1^2 - (g1^2*t^8.98*y^2)/g2^12 - (t^8.98*y^2)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8782 | $\phi_1^2X_1$ + $ 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$ + $ M_2M_4$ | 1.1321 | 1.2451 | 0.9092 | [X:[1.6181, 1.2362], M:[1.1457, 1.0453, 0.8642, 0.9547], q:[0.3819, 0.4724], qb:[], phi:[0.1909]] | t^2.59 + t^2.86 + t^3.14 + t^3.44 + 2*t^3.71 + t^4.01 + t^4.28 + t^4.55 + t^4.85 + t^5.19 + t^5.46 + t^5.73 - t^6. - t^3.57/y - t^4.72/y - t^3.57*y - t^4.72*y | detail | |
| 8780 | $\phi_1^2X_1$ + $ 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$ + $ M_2^2$ | 1.1465 | 1.2603 | 0.9097 | [X:[1.6401, 1.2802], M:[1.0796, 1.0, 0.7994, 0.8997], q:[0.41, 0.5103], qb:[], phi:[0.1799]] | t^2.4 + t^2.7 + t^3. + t^3.24 + 2*t^3.84 + t^4.08 + t^4.38 + t^4.68 + t^4.8 + t^4.92 + t^5.1 + 2*t^5.4 + t^5.64 + t^5.94 - t^6. - t^3.54/y - t^4.62/y - t^5.94/y - t^3.54*y - t^4.62*y - t^5.94*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^3.51/y - t^4.53/y - t^5.55/y - t^3.51*y - t^4.53*y - t^5.55*y | detail |