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 |
|---|---|---|---|---|---|---|---|---|---|
| 8609 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1q_1^2$ + $ M_2M_3$ | 1.138 | 1.2596 | 0.9035 | [X:[1.6055], M:[1.211, 0.9862, 1.0138], q:[0.3945, 0.4221], qb:[], phi:[0.1972]] | [X:[[2]], M:[[4], [-5], [5]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1q_2$, $ M_2$, $ M_3$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_1$, $ q_1^2q_2^2$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ \phi_1q_1q_2^3$ | . | -1 | t^2.45 + t^2.96 + t^3.04 + t^3.12 + 2*t^3.63 + t^4.14 + t^4.22 + t^4.31 + t^4.82 + t^4.9 + t^5.41 + t^5.49 + t^5.57 - t^6. + 3*t^6.08 + t^6.17 + t^6.25 - t^6.51 + 2*t^6.59 + 2*t^6.67 + 3*t^6.76 + t^7.18 + 5*t^7.27 + 3*t^7.35 + t^7.43 - t^7.69 + t^7.78 + 2*t^7.86 + 3*t^7.94 + t^8.02 + t^8.28 + 2*t^8.37 + t^8.45 + 4*t^8.53 + 2*t^8.62 + t^8.7 - 2*t^8.96 + t^8.37/y^2 - t^3.59/y - t^4.78/y - t^6.04/y - t^6.55/y - t^6.63/y - t^6.72/y - (2*t^7.22)/y - t^7.73/y - t^7.82/y - t^7.9/y + t^8.57/y - t^3.59*y - t^4.78*y - t^6.04*y - t^6.55*y - t^6.63*y - t^6.72*y - 2*t^7.22*y - t^7.73*y - t^7.82*y - t^7.9*y + t^8.57*y + t^8.37*y^2 | g1^6*t^2.45 + t^2.96/g1^5 + g1^5*t^3.04 + g1^15*t^3.12 + 2*g1^4*t^3.63 + t^4.14/g1^7 + g1^3*t^4.22 + g1^13*t^4.31 + g1^2*t^4.82 + g1^12*t^4.9 + g1*t^5.41 + g1^11*t^5.49 + g1^21*t^5.57 - t^6. + 3*g1^10*t^6.08 + g1^20*t^6.17 + g1^30*t^6.25 - t^6.51/g1^11 + (2*t^6.59)/g1 + 2*g1^9*t^6.67 + 3*g1^19*t^6.76 + t^7.18/g1^2 + 5*g1^8*t^7.27 + 3*g1^18*t^7.35 + g1^28*t^7.43 - t^7.69/g1^13 + t^7.78/g1^3 + 2*g1^7*t^7.86 + 3*g1^17*t^7.94 + g1^27*t^8.02 + t^8.28/g1^14 + (2*t^8.37)/g1^4 + g1^6*t^8.45 + 4*g1^16*t^8.53 + 2*g1^26*t^8.62 + g1^36*t^8.7 - (2*t^8.96)/g1^5 + t^8.37/(g1^4*y^2) - t^3.59/(g1*y) - t^4.78/(g1^3*y) - (g1^5*t^6.04)/y - t^6.55/(g1^6*y) - (g1^4*t^6.63)/y - (g1^14*t^6.72)/y - (2*g1^3*t^7.22)/y - t^7.73/(g1^8*y) - (g1^2*t^7.82)/y - (g1^12*t^7.9)/y + (g1^21*t^8.57)/y - (t^3.59*y)/g1 - (t^4.78*y)/g1^3 - g1^5*t^6.04*y - (t^6.55*y)/g1^6 - g1^4*t^6.63*y - g1^14*t^6.72*y - 2*g1^3*t^7.22*y - (t^7.73*y)/g1^8 - g1^2*t^7.82*y - g1^12*t^7.9*y + g1^21*t^8.57*y + (t^8.37*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 |
|---|---|---|---|---|---|---|---|---|
| 8781 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1q_1^2$ + $ M_2M_3$ + $ M_3M_4$ | 1.1397 | 1.2605 | 0.9042 | [X:[1.609], M:[1.218, 0.9775, 1.0225, 0.9775], q:[0.391, 0.4361], qb:[], phi:[0.1955]] | t^2.48 + 2*t^2.93 + t^3.2 + 2*t^3.65 + t^4.11 + t^4.24 + t^4.38 + t^4.83 + t^4.96 + 2*t^5.41 + t^5.68 + 2*t^5.86 - 2*t^6. - t^3.59/y - t^4.76/y - t^3.59*y - t^4.76*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8427 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1q_1^2$ | 1.1575 | 1.2715 | 0.9103 | [X:[1.6434], M:[1.2868, 0.8915, 0.8501], q:[0.4858, 0.4444], qb:[], phi:[0.1783]] | t^2.55 + t^2.67 + t^2.79 + t^3.2 + 2*t^3.86 + t^4.27 + t^4.4 + t^4.52 + t^4.93 + t^5.1 + t^5.22 + t^5.34 + t^5.35 + t^5.47 + t^5.58 + t^5.75 + t^5.99 - 2*t^6. - t^3.53/y - t^4.6/y - t^3.53*y - t^4.6*y | detail |