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 |
|---|---|---|---|---|---|---|---|---|---|
| 8476 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1^2$ | 1.1618 | 1.2914 | 0.8996 | [X:[1.623], M:[1.0, 0.9426], q:[0.4057, 0.4631], qb:[], phi:[0.1885]] | [X:[[4]], M:[[0], [-10]], q:[[1], [11]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ q_1q_2$, $ M_2$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^8$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_2\phi_1^4$, $ q_1^2q_2^2$, $ M_1\phi_1^4$, $ M_2q_1q_2$, $ M_1q_1q_2$, $ \phi_1^5q_2^2$, $ M_2^2$, $ \phi_1q_1q_2^3$ | $\phi_1^6q_1q_2$ | 0 | t^2.26 + t^2.61 + t^2.83 + t^3. + t^3.34 + t^3.74 + t^4.13 + t^4.3 + t^4.48 + t^4.52 + 2*t^4.87 + t^5.09 + t^5.21 + t^5.26 + t^5.43 + 2*t^5.61 + t^5.66 + t^5.95 + 2*t^6.34 + t^6.57 + t^6.69 + 2*t^6.74 + t^6.79 + t^6.91 + 2*t^7.08 + 3*t^7.13 + t^7.3 + t^7.35 + 4*t^7.48 + t^7.65 + t^7.7 + 2*t^7.82 + 2*t^7.87 + t^7.92 + t^8.04 + 3*t^8.21 + 3*t^8.26 + t^8.43 + t^8.48 + t^8.56 + 2*t^8.61 + t^8.78 - 2*t^8.83 + 4*t^8.95 + t^8.26/y^2 - t^8.83/y^2 - t^3.57/y - t^4.7/y - t^5.83/y - t^6.17/y - t^6.39/y - t^6.57/y - t^6.91/y - t^6.96/y - t^7.3/y - t^7.52/y - t^7.7/y + t^7.87/y - t^8.04/y + t^8.26/y + (2*t^8.61)/y - t^8.66/y - t^8.78/y + t^8.95/y - t^3.57*y - t^4.7*y - t^5.83*y - t^6.17*y - t^6.39*y - t^6.57*y - t^6.91*y - t^6.96*y - t^7.3*y - t^7.52*y - t^7.7*y + t^7.87*y - t^8.04*y + t^8.26*y + 2*t^8.61*y - t^8.66*y - t^8.78*y + t^8.95*y + t^8.26*y^2 - t^8.83*y^2 | t^2.26/g1^8 + g1^12*t^2.61 + t^2.83/g1^10 + t^3. + g1^20*t^3.34 + g1^8*t^3.74 + t^4.13/g1^4 + g1^6*t^4.3 + g1^16*t^4.48 + t^4.52/g1^16 + 2*g1^4*t^4.87 + t^5.09/g1^18 + g1^24*t^5.21 + t^5.26/g1^8 + g1^2*t^5.43 + 2*g1^12*t^5.61 + t^5.66/g1^20 + g1^32*t^5.95 + 2*g1^20*t^6.34 + t^6.57/g1^2 + g1^40*t^6.69 + 2*g1^8*t^6.74 + t^6.79/g1^24 + g1^18*t^6.91 + 2*g1^28*t^7.08 + (3*t^7.13)/g1^4 + g1^6*t^7.3 + t^7.35/g1^26 + 4*g1^16*t^7.48 + g1^26*t^7.65 + t^7.7/g1^6 + 2*g1^36*t^7.82 + 2*g1^4*t^7.87 + t^7.92/g1^28 + g1^14*t^8.04 + 3*g1^24*t^8.21 + (3*t^8.26)/g1^8 + g1^2*t^8.43 + t^8.48/g1^30 + g1^44*t^8.56 + 2*g1^12*t^8.61 + g1^22*t^8.78 - (2*t^8.83)/g1^10 + 4*g1^32*t^8.95 + t^8.26/(g1^8*y^2) - t^8.83/(g1^10*y^2) - t^3.57/(g1^2*y) - t^4.7/(g1^6*y) - t^5.83/(g1^10*y) - (g1^10*t^6.17)/y - t^6.39/(g1^12*y) - t^6.57/(g1^2*y) - (g1^18*t^6.91)/y - t^6.96/(g1^14*y) - (g1^6*t^7.3)/y - t^7.52/(g1^16*y) - t^7.7/(g1^6*y) + (g1^4*t^7.87)/y - (g1^14*t^8.04)/y + t^8.26/(g1^8*y) + (2*g1^12*t^8.61)/y - t^8.66/(g1^20*y) - (g1^22*t^8.78)/y + (g1^32*t^8.95)/y - (t^3.57*y)/g1^2 - (t^4.7*y)/g1^6 - (t^5.83*y)/g1^10 - g1^10*t^6.17*y - (t^6.39*y)/g1^12 - (t^6.57*y)/g1^2 - g1^18*t^6.91*y - (t^6.96*y)/g1^14 - g1^6*t^7.3*y - (t^7.52*y)/g1^16 - (t^7.7*y)/g1^6 + g1^4*t^7.87*y - g1^14*t^8.04*y + (t^8.26*y)/g1^8 + 2*g1^12*t^8.61*y - (t^8.66*y)/g1^20 - g1^22*t^8.78*y + g1^32*t^8.95*y + (t^8.26*y^2)/g1^8 - (t^8.83*y^2)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8642 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1^2$ + $ M_3\phi_1q_2^2$ | 1.1745 | 1.3109 | 0.8959 | [X:[1.6344], M:[1.0, 0.9139, 0.8279], q:[0.4086, 0.4947], qb:[], phi:[0.1828]] | t^2.19 + t^2.48 + t^2.71 + t^2.74 + t^3. + t^3.81 + t^4.1 + t^4.35 + t^4.39 + t^4.61 + t^4.68 + 2*t^4.9 + t^4.94 + t^4.97 + 2*t^5.19 + t^5.23 + t^5.42 + t^5.45 + 2*t^5.48 + t^5.71 - t^3.55/y - t^4.65/y - t^5.74/y - t^3.55*y - t^4.65*y - t^5.74*y | detail | |
| 8643 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1^2$ + $ M_3\phi_1^2q_1q_2$ | 1.1808 | 1.3252 | 0.891 | [X:[1.6256], M:[1.0, 0.936, 0.7488], q:[0.4064, 0.4704], qb:[], phi:[0.1872]] | 2*t^2.25 + t^2.63 + t^2.81 + t^3. + t^3.38 + t^4.12 + t^4.32 + 3*t^4.49 + t^4.51 + 3*t^4.88 + 2*t^5.05 + 2*t^5.25 + t^5.26 + t^5.44 + t^5.62 + 3*t^5.63 - t^6. - t^3.56/y - t^4.68/y - (2*t^5.81)/y - t^3.56*y - t^4.68*y - 2*t^5.81*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8228 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ | 1.1778 | 1.3093 | 0.8996 | [X:[1.6457], M:[0.8448, 0.8858], q:[0.489, 0.4481], qb:[], phi:[0.1772]] | t^2.13 + t^2.53 + t^2.66 + t^2.81 + t^3.22 + t^3.87 + t^4.25 + t^4.28 + t^4.41 + t^4.53 + t^4.66 + t^4.78 + 2*t^4.94 + t^5.07 + t^5.19 + t^5.31 + 2*t^5.35 + t^5.47 + t^5.62 + t^5.75 - t^6. - t^3.53/y - t^4.59/y - t^5.66/y - t^3.53*y - t^4.59*y - t^5.66*y | detail |