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 |
|---|---|---|---|---|---|---|---|---|---|
| 2702 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ | 0.5957 | 0.7565 | 0.7874 | [X:[], M:[1.011, 0.6969, 0.989, 0.719, 1.281, 0.989, 0.8761], q:[0.6405, 0.3485], qb:[0.3706, 0.9325], phi:[0.427]] | [X:[], M:[[14], [-22], [-14], [6], [-6], [-14], [24]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ \phi_1^2$, $ M_7$, $ M_3$, $ M_6$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_5$, $ M_2^2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2\phi_1^2$, $ M_2M_7$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_4M_7$, $ M_2M_3$, $ M_2M_6$, $ M_3M_4$, $ M_4M_6$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_3M_7$, $ M_6M_7$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_2M_5$, $ M_3M_6$, $ M_6^2$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | t^2.09 + t^2.16 + t^2.56 + t^2.63 + 2*t^2.97 + t^3.44 + t^3.5 + t^3.84 + t^4.18 + t^4.25 + t^4.31 + t^4.65 + 3*t^4.72 + t^4.79 + 2*t^5.06 + 3*t^5.12 + t^5.19 + t^5.26 + 2*t^5.53 + 3*t^5.6 + t^5.66 + 3*t^5.93 - t^6. + t^6.07 + t^6.13 + t^6.27 + t^6.34 + 2*t^6.4 + 2*t^6.47 + t^6.74 + 3*t^6.81 + t^6.94 + t^7.01 + 2*t^7.15 + 2*t^7.21 + 3*t^7.28 + 2*t^7.35 + t^7.41 + 2*t^7.62 + 6*t^7.69 + 2*t^7.75 + 2*t^7.82 + t^7.88 + 3*t^8.02 + t^8.09 - t^8.16 + 3*t^8.22 + t^8.29 + t^8.36 + t^8.43 + 2*t^8.5 + 2*t^8.56 - t^8.63 + t^8.69 + t^8.76 + t^8.83 + 5*t^8.9 - 4*t^8.97 - t^4.28/y - t^6.37/y - t^6.84/y - t^6.91/y + t^7.31/y + (2*t^7.65)/y + (3*t^7.72)/y + t^7.79/y + (2*t^8.06)/y + (2*t^8.12)/y + (2*t^8.19)/y - t^8.46/y + (3*t^8.53)/y + (4*t^8.6)/y + t^8.66/y + t^8.93/y - t^4.28*y - t^6.37*y - t^6.84*y - t^6.91*y + t^7.31*y + 2*t^7.65*y + 3*t^7.72*y + t^7.79*y + 2*t^8.06*y + 2*t^8.12*y + 2*t^8.19*y - t^8.46*y + 3*t^8.53*y + 4*t^8.6*y + t^8.66*y + t^8.93*y | t^2.09/g1^22 + g1^6*t^2.16 + t^2.56/g1^4 + g1^24*t^2.63 + (2*t^2.97)/g1^14 + g1^4*t^3.44 + g1^32*t^3.5 + t^3.84/g1^6 + t^4.18/g1^44 + t^4.25/g1^16 + g1^12*t^4.31 + t^4.65/g1^26 + 3*g1^2*t^4.72 + g1^30*t^4.79 + (2*t^5.06)/g1^36 + (3*t^5.12)/g1^8 + g1^20*t^5.19 + g1^48*t^5.26 + (2*t^5.53)/g1^18 + 3*g1^10*t^5.6 + g1^38*t^5.66 + (3*t^5.93)/g1^28 - t^6. + g1^28*t^6.07 + g1^56*t^6.13 + t^6.27/g1^66 + t^6.34/g1^38 + (2*t^6.4)/g1^10 + 2*g1^18*t^6.47 + t^6.74/g1^48 + (3*t^6.81)/g1^20 + g1^36*t^6.94 + g1^64*t^7.01 + (2*t^7.15)/g1^58 + (2*t^7.21)/g1^30 + (3*t^7.28)/g1^2 + 2*g1^26*t^7.35 + g1^54*t^7.41 + (2*t^7.62)/g1^40 + (6*t^7.69)/g1^12 + 2*g1^16*t^7.75 + 2*g1^44*t^7.82 + g1^72*t^7.88 + (3*t^8.02)/g1^50 + t^8.09/g1^22 - g1^6*t^8.16 + 3*g1^34*t^8.22 + g1^62*t^8.29 + t^8.36/g1^88 + t^8.43/g1^60 + (2*t^8.5)/g1^32 + (2*t^8.56)/g1^4 - g1^24*t^8.63 + g1^52*t^8.69 + g1^80*t^8.76 + t^8.83/g1^70 + (5*t^8.9)/g1^42 - (4*t^8.97)/g1^14 - t^4.28/(g1^2*y) - t^6.37/(g1^24*y) - t^6.84/(g1^6*y) - (g1^22*t^6.91)/y + (g1^12*t^7.31)/y + (2*t^7.65)/(g1^26*y) + (3*g1^2*t^7.72)/y + (g1^30*t^7.79)/y + (2*t^8.06)/(g1^36*y) + (2*t^8.12)/(g1^8*y) + (2*g1^20*t^8.19)/y - t^8.46/(g1^46*y) + (3*t^8.53)/(g1^18*y) + (4*g1^10*t^8.6)/y + (g1^38*t^8.66)/y + t^8.93/(g1^28*y) - (t^4.28*y)/g1^2 - (t^6.37*y)/g1^24 - (t^6.84*y)/g1^6 - g1^22*t^6.91*y + g1^12*t^7.31*y + (2*t^7.65*y)/g1^26 + 3*g1^2*t^7.72*y + g1^30*t^7.79*y + (2*t^8.06*y)/g1^36 + (2*t^8.12*y)/g1^8 + 2*g1^20*t^8.19*y - (t^8.46*y)/g1^46 + (3*t^8.53*y)/g1^18 + 4*g1^10*t^8.6*y + g1^38*t^8.66*y + (t^8.93*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4879 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_8$ | 0.6158 | 0.7942 | 0.7754 | [X:[], M:[1.0093, 0.6997, 0.9907, 0.7183, 1.2817, 0.9907, 0.8731, 0.7183], q:[0.6409, 0.3498], qb:[0.3684, 0.9319], phi:[0.4272]] | t^2.1 + 2*t^2.15 + t^2.56 + t^2.62 + 2*t^2.97 + t^3.44 + t^3.49 + t^4.2 + 2*t^4.25 + 3*t^4.31 + t^4.66 + 4*t^4.72 + 2*t^4.77 + 2*t^5.07 + 5*t^5.13 + t^5.18 + t^5.24 + 2*t^5.54 + 4*t^5.59 + 2*t^5.65 + 2*t^5.94 - 2*t^6. - t^4.28/y - t^4.28*y | detail | |
| 4877 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6085 | 0.7786 | 0.7816 | [X:[], M:[1.0144, 0.6917, 0.9856, 0.7204, 1.2796, 0.9856, 0.8818, 0.853], q:[0.6398, 0.3459], qb:[0.3746, 0.9337], phi:[0.4265]] | t^2.08 + t^2.16 + 2*t^2.56 + t^2.65 + 2*t^2.96 + t^3.53 + t^3.84 + t^4.15 + t^4.24 + t^4.32 + 2*t^4.63 + 4*t^4.72 + t^4.81 + 2*t^5.03 + 5*t^5.12 + 2*t^5.2 + t^5.29 + 3*t^5.52 + 2*t^5.6 + t^5.69 + 3*t^5.91 - 2*t^6. - t^4.28/y - t^4.28*y | detail | |
| 4878 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_2X_1$ | 0.5909 | 0.7443 | 0.7939 | [X:[1.3339], M:[1.0307, 0.6661, 0.9693, 0.7274, 1.2726, 0.9693, 0.9097, 0.787], q:[0.6363, 0.333], qb:[0.3944, 0.9395], phi:[0.4242]] | t^2.18 + t^2.36 + t^2.55 + t^2.73 + 2*t^2.91 + t^3.45 + t^3.82 + t^4. + t^4.36 + t^4.54 + t^4.72 + 2*t^4.73 + 2*t^4.91 + 4*t^5.09 + 3*t^5.27 + t^5.45 + t^5.46 + 2*t^5.64 + 3*t^5.82 - t^6. - t^4.27/y - t^4.27*y | detail | |
| 4876 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_8\phi_1^2$ | 0.5829 | 0.7346 | 0.7935 | [X:[], M:[1.0077, 0.7021, 0.9923, 0.7176, 1.2824, 0.9923, 0.8704, 1.1451], q:[0.6412, 0.3511], qb:[0.3665, 0.9313], phi:[0.4275]] | t^2.11 + t^2.15 + t^2.61 + 2*t^2.98 + 2*t^3.44 + t^3.48 + t^3.85 + t^4.21 + t^4.26 + t^4.31 + 2*t^4.72 + t^4.76 + 2*t^5.08 + 2*t^5.13 + t^5.22 + t^5.54 + 4*t^5.59 + t^5.63 + 3*t^5.95 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1569 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ | 0.7289 | 0.9135 | 0.7979 | [X:[], M:[1.0715, 0.8502, 0.9285, 0.9933, 1.0067, 0.9285, 0.6694], q:[0.5033, 0.4251], qb:[0.5682, 0.5816], phi:[0.4804]] | t^2.01 + t^2.55 + 2*t^2.79 + t^2.88 + t^2.98 + t^3.02 + t^3.25 + t^4.02 + t^4.23 + t^4.42 + 2*t^4.46 + t^4.56 + t^4.66 + t^4.7 + 2*t^4.79 + t^4.85 + 2*t^4.89 + t^4.93 + t^4.99 + t^5.03 + t^5.1 + t^5.26 + 2*t^5.34 + t^5.43 + 3*t^5.57 + 2*t^5.67 + t^5.77 + 2*t^5.81 + t^5.86 + t^5.9 - 3*t^6. - t^4.44/y - t^4.44*y | detail |