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 |
|---|---|---|---|---|---|---|---|---|---|
| 45297 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_3q_1^2$ + $ M_4\phi_1^2q_1$ | 1.7931 | 1.8979 | 0.9448 | [X:[1.3229], M:[1.0468, 0.8463, 0.9844, 0.8151], q:[0.5078, 0.4766], qb:[], phi:[0.3385]] | [X:[[4]], M:[[-18], [-5], [6], [7]], q:[[-3], [9]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_3$, $ q_1q_2$, $ M_1$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1^4$, $ M_4^2$, $ \phi_1^2q_2^2$, $ M_2M_4$, $ \phi_1^2q_1q_2$, $ M_2^2$, $ \phi_1^2q_1^2$, $ M_3M_4$, $ M_4q_1q_2$, $ M_2M_3$, $ M_2q_1q_2$, $ M_1M_4$, $ M_1M_2$, $ M_3^2$, $ M_3q_1q_2$ | $\phi_1^3q_1q_2$ | -1 | t^2.45 + t^2.54 + 2*t^2.95 + t^3.14 + 2*t^3.97 + t^4.06 + 2*t^4.89 + 2*t^4.98 + 2*t^5.08 + 2*t^5.4 + 2*t^5.49 + t^5.59 + t^5.68 + 2*t^5.91 - t^6. + t^6.09 + t^6.28 + 2*t^6.41 + 2*t^6.51 + 3*t^6.92 + t^7.02 + t^7.11 + t^7.2 + 2*t^7.34 + 3*t^7.43 + 3*t^7.52 + 2*t^7.62 + 4*t^7.84 + 5*t^7.94 + 7*t^8.03 + 2*t^8.12 + 2*t^8.22 + 2*t^8.35 - t^8.54 + t^8.63 + t^8.73 + t^8.82 + 5*t^8.86 + t^8.95 - t^4.02/y - t^5.45/y - t^5.54/y - t^6.05/y - t^6.46/y - t^6.55/y - (2*t^6.97)/y - t^7.16/y - t^7.89/y - (2*t^7.98)/y - (2*t^8.08)/y - t^4.02*y - t^5.45*y - t^5.54*y - t^6.05*y - t^6.46*y - t^6.55*y - 2*t^6.97*y - t^7.16*y - t^7.89*y - 2*t^7.98*y - 2*t^8.08*y | g1^7*t^2.45 + t^2.54/g1^5 + 2*g1^6*t^2.95 + t^3.14/g1^18 + 2*g1^4*t^3.97 + t^4.06/g1^8 + 2*g1^14*t^4.89 + 2*g1^2*t^4.98 + (2*t^5.08)/g1^10 + 2*g1^13*t^5.4 + 2*g1*t^5.49 + t^5.59/g1^11 + t^5.68/g1^23 + 2*g1^12*t^5.91 - t^6. + t^6.09/g1^12 + t^6.28/g1^36 + 2*g1^11*t^6.41 + (2*t^6.51)/g1 + 3*g1^10*t^6.92 + t^7.02/g1^2 + t^7.11/g1^14 + t^7.2/g1^26 + 2*g1^21*t^7.34 + 3*g1^9*t^7.43 + (3*t^7.52)/g1^3 + (2*t^7.62)/g1^15 + 4*g1^20*t^7.84 + 5*g1^8*t^7.94 + (7*t^8.03)/g1^4 + (2*t^8.12)/g1^16 + (2*t^8.22)/g1^28 + 2*g1^19*t^8.35 - t^8.54/g1^5 + t^8.63/g1^17 + t^8.73/g1^29 + t^8.82/g1^41 + 5*g1^18*t^8.86 + g1^6*t^8.95 - t^4.02/(g1^2*y) - (g1^7*t^5.45)/y - t^5.54/(g1^5*y) - t^6.05/(g1^6*y) - (g1^5*t^6.46)/y - t^6.55/(g1^7*y) - (2*g1^4*t^6.97)/y - t^7.16/(g1^20*y) - (g1^14*t^7.89)/y - (2*g1^2*t^7.98)/y - (2*t^8.08)/(g1^10*y) - (t^4.02*y)/g1^2 - g1^7*t^5.45*y - (t^5.54*y)/g1^5 - (t^6.05*y)/g1^6 - g1^5*t^6.46*y - (t^6.55*y)/g1^7 - 2*g1^4*t^6.97*y - (t^7.16*y)/g1^20 - g1^14*t^7.89*y - 2*g1^2*t^7.98*y - (2*t^8.08*y)/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 |
|---|---|---|---|---|---|---|---|---|
| 45504 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_3q_1^2$ + $ M_4\phi_1^2q_1$ + $ M_1M_2$ | 1.7886 | 1.8945 | 0.9441 | [X:[1.3043], M:[1.1304, 0.8696, 0.9565, 0.7826], q:[0.5217, 0.4348], qb:[], phi:[0.3478]] | t^2.35 + t^2.61 + 2*t^2.87 + t^3.39 + 2*t^3.91 + t^4.17 + 2*t^4.7 + 2*t^4.96 + 4*t^5.22 + 2*t^5.48 + 3*t^5.74 - t^4.04/y - t^5.35/y - t^5.61/y - t^4.04*y - t^5.35*y - t^5.61*y | detail | {a: 348183/194672, c: 184407/97336, X1: 30/23, M1: 26/23, M2: 20/23, M3: 22/23, M4: 18/23, q1: 12/23, q2: 10/23, phi1: 8/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45252 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_3q_1^2$ | 1.7778 | 1.8713 | 0.9501 | [X:[1.3273], M:[1.0271, 0.8409, 0.991], q:[0.5045, 0.4864], qb:[], phi:[0.3363]] | t^2.52 + 2*t^2.97 + t^3.08 + t^3.53 + 2*t^3.98 + t^4.04 + t^4.94 + t^4.99 + 2*t^5.05 + 2*t^5.5 + t^5.6 + 2*t^5.95 - t^6. - t^4.01/y - t^5.47/y - t^5.52/y - t^4.01*y - t^5.47*y - t^5.52*y | detail |