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 |
|---|---|---|---|---|---|---|---|---|---|
| 4207 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_2M_8$ + $ M_5M_6$ + $ M_7X_1$ + $ M_4X_2$ | 0.6026 | 0.7461 | 0.8076 | [X:[1.6046, 1.3764], M:[1.0799, 1.1483, 0.7529, 0.6236, 0.9506, 1.0494, 0.3954, 0.8517], q:[0.7871, 0.2624], qb:[0.6578, 0.5894], phi:[0.4259]] | [X:[[32], [10]], M:[[34], [-12], [20], [-10], [4], [-4], [-32], [12]], q:[[-3], [-1]], qb:[[-33], [13]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_8$, $ \phi_1^2$, $ M_5$, $ M_6$, $ M_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ X_2$, $ q_1\tilde{q}_1$, $ M_3^2$, $ M_3M_8$, $ M_3\phi_1^2$, $ X_1$, $ M_3M_5$, $ M_8^2$, $ M_8\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ M_3M_6$, $ M_5M_8$, $ M_5\phi_1^2$, $ M_1M_3$, $ M_5^2$, $ M_6M_8$, $ M_6\phi_1^2$, $ M_1M_8$, $ M_1\phi_1^2$ | . | -2 | t^2.26 + 2*t^2.56 + t^2.85 + t^3.15 + t^3.24 + t^3.83 + t^4.04 + t^4.13 + t^4.33 + t^4.52 + 2*t^4.81 + 4*t^5.11 + t^5.22 + 3*t^5.41 + t^5.5 + 2*t^5.7 + t^5.79 - 2*t^6. + t^6.09 - t^6.21 + 3*t^6.39 + t^6.48 + t^6.59 + 2*t^6.68 + t^6.78 + t^6.89 + 2*t^7.07 - t^7.28 + 5*t^7.37 - t^7.57 + 7*t^7.67 + t^7.76 + t^7.78 - t^7.87 + 5*t^7.96 + 2*t^8.05 + t^8.08 + t^8.26 + 2*t^8.35 + t^8.37 - 4*t^8.56 + 3*t^8.65 + t^8.74 - 2*t^8.76 - 4*t^8.85 + 5*t^8.94 - t^4.28/y - t^6.54/y - t^6.83/y + t^7.04/y - t^7.52/y + t^7.72/y + (2*t^7.81)/y + t^8.02/y + (2*t^8.11)/y + (3*t^8.41)/y + t^8.5/y + (2*t^8.7)/y + t^8.79/y - t^4.28*y - t^6.54*y - t^6.83*y + t^7.04*y - t^7.52*y + t^7.72*y + 2*t^7.81*y + t^8.02*y + 2*t^8.11*y + 3*t^8.41*y + t^8.5*y + 2*t^8.7*y + t^8.79*y | g1^20*t^2.26 + 2*g1^12*t^2.56 + g1^4*t^2.85 + t^3.15/g1^4 + g1^34*t^3.24 + g1^18*t^3.83 + t^4.04/g1^28 + g1^10*t^4.13 + t^4.33/g1^36 + g1^40*t^4.52 + 2*g1^32*t^4.81 + 4*g1^24*t^5.11 + t^5.22/g1^60 + 3*g1^16*t^5.41 + g1^54*t^5.5 + 2*g1^8*t^5.7 + g1^46*t^5.79 - 2*t^6. + g1^38*t^6.09 - t^6.21/g1^46 + 3*g1^30*t^6.39 + g1^68*t^6.48 + t^6.59/g1^16 + 2*g1^22*t^6.68 + g1^60*t^6.78 + t^6.89/g1^24 + 2*g1^52*t^7.07 - g1^6*t^7.28 + 5*g1^44*t^7.37 - t^7.57/g1^2 + 7*g1^36*t^7.67 + g1^74*t^7.76 + t^7.78/g1^48 - t^7.87/g1^10 + 5*g1^28*t^7.96 + 2*g1^66*t^8.05 + t^8.08/g1^56 + g1^20*t^8.26 + 2*g1^58*t^8.35 + t^8.37/g1^64 - 4*g1^12*t^8.56 + 3*g1^50*t^8.65 + g1^88*t^8.74 - (2*t^8.76)/g1^34 - 4*g1^4*t^8.85 + 5*g1^42*t^8.94 - (g1^6*t^4.28)/y - (g1^26*t^6.54)/y - (g1^18*t^6.83)/y + t^7.04/(g1^28*y) - (g1^40*t^7.52)/y + t^7.72/(g1^6*y) + (2*g1^32*t^7.81)/y + t^8.02/(g1^14*y) + (2*g1^24*t^8.11)/y + (3*g1^16*t^8.41)/y + (g1^54*t^8.5)/y + (2*g1^8*t^8.7)/y + (g1^46*t^8.79)/y - g1^6*t^4.28*y - g1^26*t^6.54*y - g1^18*t^6.83*y + (t^7.04*y)/g1^28 - g1^40*t^7.52*y + (t^7.72*y)/g1^6 + 2*g1^32*t^7.81*y + (t^8.02*y)/g1^14 + 2*g1^24*t^8.11*y + 3*g1^16*t^8.41*y + g1^54*t^8.5*y + 2*g1^8*t^8.7*y + g1^46*t^8.79*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5704 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_2M_8$ + $ M_5M_6$ + $ M_7X_1$ + $ M_4X_2$ + $ M_5M_9$ | 0.598 | 0.7382 | 0.8101 | [X:[1.6118, 1.3787], M:[1.0876, 1.1456, 0.7574, 0.6213, 0.9515, 1.0485, 0.3882, 0.8544, 1.0485], q:[0.7864, 0.2621], qb:[0.6503, 0.5923], phi:[0.4272]] | t^2.27 + 2*t^2.56 + 2*t^3.15 + t^3.26 + t^3.84 + t^4.02 + t^4.14 + t^4.31 + t^4.54 + 2*t^4.84 + 3*t^5.13 + t^5.18 + 2*t^5.42 + t^5.53 + 3*t^5.71 + t^5.83 - 3*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2207 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_2M_8$ | 0.7372 | 0.9444 | 0.7806 | [X:[], M:[0.9725, 1.1233, 0.9725, 0.7808, 0.7808, 0.685, 0.685, 0.8767], q:[0.7808, 0.4383], qb:[0.5891, 0.4383], phi:[0.4383]] | 2*t^2.05 + 2*t^2.34 + 2*t^2.63 + 2*t^2.92 + t^3.95 + 4*t^4.11 + 6*t^4.4 + 7*t^4.68 + t^4.85 + 8*t^4.97 + 7*t^5.26 + 2*t^5.55 + 3*t^5.84 - 3*t^6. - t^4.32/y - t^4.32*y | detail |