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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[4]], M:[[-28], [8], [8]], q:[[15], [-3]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1q_2$, $ M_1$, $ \phi_1q_1q_2$, $ M_2$, $ M_3$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ q_1^2q_2^2$, $ X_1$, $ M_1q_1q_2$, $ \phi_1q_1^2q_2^2$, $ M_1^2$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ \phi_1^2q_1^2q_2^2$ | $\phi_1^3q_1q_2^3$ | -1 | 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. + 2*t^6.24 + 3*t^6.38 + t^6.48 + 2*t^6.77 + 6*t^7.01 + 3*t^7.25 + 2*t^7.39 + t^7.49 + 2*t^7.63 + t^7.73 + 6*t^8.01 + t^8.21 + t^8.26 + 3*t^8.5 + 5*t^8.64 - t^8.74 - 4*t^8.88 + 2*t^8.98 + t^8.5/y^2 - t^8.88/y^2 - t^3.62/y - t^4.87/y - t^5.88/y - t^6.36/y - t^6.5/y - (3*t^7.13)/y - t^7.61/y - t^7.75/y + t^7.99/y - (2*t^8.38)/y + (2*t^8.76)/y - t^3.62*y - t^4.87*y - t^5.88*y - t^6.36*y - t^6.5*y - 3*t^7.13*y - t^7.61*y - t^7.75*y + t^7.99*y - 2*t^8.38*y + 2*t^8.76*y + t^8.5*y^2 - t^8.88*y^2 | g1^12*t^2.26 + t^2.74/g1^28 + g1^10*t^2.88 + 3*g1^8*t^3.5 + t^3.74/g1^12 + g1^6*t^4.13 + 2*g1^24*t^4.51 + g1^4*t^4.75 + t^4.99/g1^16 + g1^22*t^5.13 + t^5.48/g1^56 + 4*g1^20*t^5.76 - t^6. + (2*t^6.24)/g1^20 + 3*g1^18*t^6.38 + t^6.48/g1^40 + 2*g1^36*t^6.77 + 6*g1^16*t^7.01 + (3*t^7.25)/g1^4 + 2*g1^34*t^7.39 + t^7.49/g1^24 + 2*g1^14*t^7.63 + t^7.73/g1^44 + 6*g1^32*t^8.01 + t^8.21/g1^84 + g1^12*t^8.26 + (3*t^8.5)/g1^8 + 5*g1^30*t^8.64 - t^8.74/g1^28 - 4*g1^10*t^8.88 + (2*t^8.98)/g1^48 + t^8.5/(g1^8*y^2) - (g1^10*t^8.88)/y^2 - t^3.62/(g1^2*y) - t^4.87/(g1^6*y) - (g1^10*t^5.88)/y - t^6.36/(g1^30*y) - (g1^8*t^6.5)/y - (3*g1^6*t^7.13)/y - t^7.61/(g1^34*y) - (g1^4*t^7.75)/y + t^7.99/(g1^16*y) - (2*g1^2*t^8.38)/y + (2*g1^20*t^8.76)/y - (t^3.62*y)/g1^2 - (t^4.87*y)/g1^6 - g1^10*t^5.88*y - (t^6.36*y)/g1^30 - g1^8*t^6.5*y - 3*g1^6*t^7.13*y - (t^7.61*y)/g1^34 - g1^4*t^7.75*y + (t^7.99*y)/g1^16 - 2*g1^2*t^8.38*y + 2*g1^20*t^8.76*y + (t^8.5*y^2)/g1^8 - g1^10*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 8799 | $\phi_1^2X_1$ + $ 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]] | 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. - t^3.63/y - t^4.88/y - (2*t^5.87)/y - t^3.63*y - t^4.88*y - 2*t^5.87*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8471 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ | 1.1194 | 1.2595 | 0.8888 | [X:[1.5861], M:[0.8976, 1.1721], q:[0.4477, 0.3105], qb:[], phi:[0.207]] | t^2.27 + t^2.48 + t^2.69 + t^2.9 + 2*t^3.52 + t^3.73 + t^4.14 + 2*t^4.55 + 2*t^4.76 + 2*t^4.97 + t^5.17 + t^5.18 + t^5.38 + t^5.39 + 3*t^5.79 + t^6. - t^3.62/y - t^4.86/y - t^5.9/y - t^3.62*y - t^4.86*y - t^5.9*y | detail |