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 |
|---|---|---|---|---|---|---|---|---|---|
| 45440 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ M_4q_2^2$ + $ M_5\phi_1^2q_2$ | 1.7618 | 1.8746 | 0.9398 | [X:[1.3983], M:[0.7966, 0.7966, 0.7966, 1.0085, 0.9025], q:[0.6017, 0.4958], qb:[], phi:[0.3008]] | [X:[[2]], M:[[4], [4], [4], [-10], [-3]], q:[[-2], [5]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_3$, $ M_5$, $ M_4$, $ q_1q_2$, $ \phi_1q_1q_2$, $ X_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_2M_3$, $ M_3^2$, $ \phi_1^2q_2^2$, $ M_1M_5$, $ M_2M_5$, $ M_3M_5$, $ \phi_1^2q_1q_2$, $ M_1M_4$, $ M_2M_4$, $ M_3M_4$, $ M_5^2$, $ \phi_1^2q_1^2$, $ M_1q_1q_2$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ M_4M_5$ | $M_5q_1q_2$, $ \phi_1^3q_1q_2$ | -1 | 3*t^2.39 + t^2.71 + t^3.03 + t^3.29 + 2*t^4.19 + 7*t^4.78 + 4*t^5.1 + 5*t^5.42 + 2*t^5.68 + t^5.73 - t^6. + t^6.05 - t^6.32 + 6*t^6.58 + t^6.9 + 13*t^7.17 + t^7.22 + 11*t^7.49 + 13*t^7.81 + 4*t^8.07 + 5*t^8.12 - 3*t^8.39 + 5*t^8.44 - 5*t^8.71 + t^8.76 + 12*t^8.97 - t^3.9/y - t^5.39/y - (2*t^5.71)/y - (3*t^6.29)/y - t^6.61/y - t^6.93/y - t^7.19/y - (4*t^8.1)/y + t^8.42/y - (4*t^8.68)/y - t^8.73/y - t^3.9*y - t^5.39*y - 2*t^5.71*y - 3*t^6.29*y - t^6.61*y - t^6.93*y - t^7.19*y - 4*t^8.1*y + t^8.42*y - 4*t^8.68*y - t^8.73*y | 3*g1^4*t^2.39 + t^2.71/g1^3 + t^3.03/g1^10 + g1^3*t^3.29 + 2*g1^2*t^4.19 + 7*g1^8*t^4.78 + 4*g1*t^5.1 + (5*t^5.42)/g1^6 + 2*g1^7*t^5.68 + t^5.73/g1^13 - t^6. + t^6.05/g1^20 - t^6.32/g1^7 + 6*g1^6*t^6.58 + t^6.9/g1 + 13*g1^12*t^7.17 + t^7.22/g1^8 + 11*g1^5*t^7.49 + (13*t^7.81)/g1^2 + 4*g1^11*t^8.07 + (5*t^8.12)/g1^9 - 3*g1^4*t^8.39 + (5*t^8.44)/g1^16 - (5*t^8.71)/g1^3 + t^8.76/g1^23 + 12*g1^10*t^8.97 - t^3.9/(g1*y) - (g1^4*t^5.39)/y - (2*t^5.71)/(g1^3*y) - (3*g1^3*t^6.29)/y - t^6.61/(g1^4*y) - t^6.93/(g1^11*y) - (g1^2*t^7.19)/y - (4*g1*t^8.1)/y + t^8.42/(g1^6*y) - (4*g1^7*t^8.68)/y - t^8.73/(g1^13*y) - (t^3.9*y)/g1 - g1^4*t^5.39*y - (2*t^5.71*y)/g1^3 - 3*g1^3*t^6.29*y - (t^6.61*y)/g1^4 - (t^6.93*y)/g1^11 - g1^2*t^7.19*y - 4*g1*t^8.1*y + (t^8.42*y)/g1^6 - 4*g1^7*t^8.68*y - (t^8.73*y)/g1^13 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45545 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ M_4q_2^2$ + $ M_5\phi_1^2q_2$ + $ M_2q_1q_2$ | 1.7449 | 1.852 | 0.9421 | [X:[1.4286], M:[0.8571, 0.8571, 0.8571, 0.8571, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[0.2857]] | 5*t^2.57 + t^3.43 + 2*t^4.29 + 18*t^5.14 - t^3.86/y - (3*t^5.57)/y - t^3.86*y - 3*t^5.57*y | detail | {a: 171/98, c: 363/196, X1: 10/7, M1: 6/7, M2: 6/7, M3: 6/7, M4: 6/7, M5: 6/7, q1: 4/7, q2: 4/7, phi1: 2/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45382 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ M_2\phi_1^4$ + $ M_3q_1^2$ + $ M_4q_2^2$ | 1.7532 | 1.8609 | 0.9421 | [X:[1.3947], M:[0.7894, 0.7894, 0.7894, 1.0264], q:[0.6053, 0.4868], qb:[], phi:[0.3026]] | 3*t^2.37 + t^3.08 + 2*t^3.28 + 2*t^4.18 + 7*t^4.74 + t^5.09 + 4*t^5.45 + 5*t^5.64 - 2*t^6. - t^3.91/y - t^5.37/y - (2*t^5.72)/y - t^3.91*y - t^5.37*y - 2*t^5.72*y | detail |