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 |
|---|---|---|---|---|---|---|---|---|---|
| 8782 | 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$ + $ 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]] | [X:[[2], [4]], M:[[-6], [5], [-15], [-5]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_2$, $ M_1$, $ \phi_1^2q_1q_2$, $ X_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_1$, $ M_3^2$, $ M_3M_4$, $ M_2M_3$, $ M_4^2$ | . | -1 | 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^6.03 + 2*t^6.3 + 2*t^6.57 + t^6.6 + t^6.84 + 2*t^6.87 + 4*t^7.15 + 3*t^7.42 + t^7.45 + t^7.69 + 2*t^7.72 + t^7.78 + 2*t^7.99 + t^8.02 + t^8.05 + t^8.26 + 3*t^8.29 + t^8.32 + 2*t^8.56 - t^8.59 + t^8.62 + t^8.83 - t^8.86 + 2*t^8.89 + t^8.29/y^2 - t^3.57/y - t^4.72/y - t^6.17/y - t^6.44/y - t^6.71/y - t^7.01/y - t^7.28/y - t^7.31/y - t^7.58/y - t^7.85/y - t^8.16/y - t^8.43/y + t^8.46/y + t^8.73/y - t^8.76/y - t^3.57*y - t^4.72*y - t^6.17*y - t^6.44*y - t^6.71*y - t^7.01*y - t^7.28*y - t^7.31*y - t^7.58*y - t^7.85*y - t^8.16*y - t^8.43*y + t^8.46*y + t^8.73*y - t^8.76*y + t^8.29*y^2 | t^2.59/g1^15 + t^2.86/g1^5 + g1^5*t^3.14 + t^3.44/g1^6 + 2*g1^4*t^3.71 + t^4.01/g1^7 + g1^3*t^4.28 + g1^13*t^4.55 + g1^2*t^4.85 + t^5.19/g1^30 + t^5.46/g1^20 + t^5.73/g1^10 - t^6. + t^6.03/g1^21 + (2*t^6.3)/g1^11 + (2*t^6.57)/g1 + t^6.6/g1^22 + g1^9*t^6.84 + (2*t^6.87)/g1^12 + (4*t^7.15)/g1^2 + 3*g1^8*t^7.42 + t^7.45/g1^13 + g1^18*t^7.69 + (2*t^7.72)/g1^3 + t^7.78/g1^45 + 2*g1^7*t^7.99 + t^8.02/g1^14 + t^8.05/g1^35 + g1^17*t^8.26 + (3*t^8.29)/g1^4 + t^8.32/g1^25 + 2*g1^6*t^8.56 - t^8.59/g1^15 + t^8.62/g1^36 + g1^16*t^8.83 - t^8.86/g1^5 + (2*t^8.89)/g1^26 + t^8.29/(g1^4*y^2) - t^3.57/(g1*y) - t^4.72/(g1^3*y) - t^6.17/(g1^16*y) - t^6.44/(g1^6*y) - (g1^4*t^6.71)/y - t^7.01/(g1^7*y) - (g1^3*t^7.28)/y - t^7.31/(g1^18*y) - t^7.58/(g1^8*y) - (g1^2*t^7.85)/y - t^8.16/(g1^9*y) - (g1*t^8.43)/y + t^8.46/(g1^20*y) + t^8.73/(g1^10*y) - t^8.76/(g1^31*y) - (t^3.57*y)/g1 - (t^4.72*y)/g1^3 - (t^6.17*y)/g1^16 - (t^6.44*y)/g1^6 - g1^4*t^6.71*y - (t^7.01*y)/g1^7 - g1^3*t^7.28*y - (t^7.31*y)/g1^18 - (t^7.58*y)/g1^8 - g1^2*t^7.85*y - (t^8.16*y)/g1^9 - g1*t^8.43*y + (t^8.46*y)/g1^20 + (t^8.73*y)/g1^10 - (t^8.76*y)/g1^31 + (t^8.29*y^2)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8889 | $\phi_1^2X_1$ + $ 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$ + $ M_2M_5$ | 1.1367 | 1.2531 | 0.907 | [X:[1.6212, 1.2425], M:[1.1363, 1.0531, 0.8408, 0.9469, 0.9469], q:[0.3788, 0.4849], qb:[], phi:[0.1894]] | t^2.52 + 2*t^2.84 + t^3.41 + 2*t^3.73 + t^3.98 + t^4.3 + t^4.61 + t^4.86 + t^5.04 + 2*t^5.36 + 2*t^5.68 + t^5.93 - 2*t^6. - t^3.57/y - t^4.7/y - t^3.57*y - t^4.7*y | detail | |
| 8888 | $\phi_1^2X_1$ + $ 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$ + $ M_4M_5$ | 1.1282 | 1.2389 | 0.9107 | [X:[1.6149, 1.2298], M:[1.1553, 1.0372, 0.8883, 0.9628, 1.0372], q:[0.3851, 0.4596], qb:[], phi:[0.1926]] | t^2.66 + 2*t^3.11 + t^3.47 + 2*t^3.69 + t^4.04 + t^4.27 + t^4.49 + t^4.84 + t^5.33 + t^5.78 - 2*t^6. - t^3.58/y - t^4.73/y - t^3.58*y - t^4.73*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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 |