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 |
|---|---|---|---|---|---|---|---|---|---|
| 5161 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_6M_8$ + $ M_5M_7$ | 0.5958 | 0.7559 | 0.7882 | [X:[], M:[0.8779, 1.1463, 0.8294, 0.7195, 0.9879, 1.2805, 1.0121, 0.7195], q:[0.8416, 0.2805], qb:[0.439, 0.7316], phi:[0.4268]] | [X:[], M:[[12], [2], [-16], [3], [-7], [-3], [7], [3]], q:[[-9], [-3]], qb:[[6], [10]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_8$, $ M_3$, $ M_1$, $ M_5$, $ M_7$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_4$, $ M_3M_8$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_1M_3$, $ M_4M_5$, $ M_5M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_7$, $ M_7M_8$, $ M_1^2$, $ M_3M_5$, $ M_2M_4$, $ M_1M_5$, $ M_2M_8$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_8\phi_1q_2\tilde{q}_1$, $ M_1M_7$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_5^2$ | . | -2 | 2*t^2.16 + t^2.49 + t^2.63 + t^2.96 + t^3.04 + 2*t^3.44 + t^3.91 + 3*t^4.32 + 2*t^4.65 + t^4.72 + 2*t^4.79 + t^4.98 + 3*t^5.12 + 2*t^5.19 + t^5.27 + t^5.45 + 4*t^5.6 + t^5.67 + 2*t^5.93 - 2*t^6. + 4*t^6.07 + t^6.4 + 4*t^6.48 + t^6.55 + t^6.81 + 2*t^6.88 + 3*t^6.95 + 2*t^7.14 + 2*t^7.28 + 4*t^7.35 + 2*t^7.43 + t^7.46 + 3*t^7.61 - t^7.68 + 6*t^7.76 + 3*t^7.83 + t^7.9 + t^7.94 + 3*t^8.09 - 4*t^8.16 + 6*t^8.23 + t^8.3 + 2*t^8.42 - 3*t^8.49 + 2*t^8.56 + 2*t^8.63 + 4*t^8.71 + t^8.89 - 3*t^8.96 - t^4.28/y - t^6.44/y - t^6.77/y - t^6.91/y + t^7.32/y + (3*t^7.65)/y + (3*t^7.79)/y + (4*t^8.12)/y + (2*t^8.19)/y + t^8.45/y + t^8.52/y + (4*t^8.6)/y + t^8.67/y + t^8.93/y - t^4.28*y - t^6.44*y - t^6.77*y - t^6.91*y + t^7.32*y + 3*t^7.65*y + 3*t^7.79*y + 4*t^8.12*y + 2*t^8.19*y + t^8.45*y + t^8.52*y + 4*t^8.6*y + t^8.67*y + t^8.93*y | 2*g1^3*t^2.16 + t^2.49/g1^16 + g1^12*t^2.63 + t^2.96/g1^7 + g1^7*t^3.04 + 2*g1^2*t^3.44 + g1^11*t^3.91 + 3*g1^6*t^4.32 + (2*t^4.65)/g1^13 + g1*t^4.72 + 2*g1^15*t^4.79 + t^4.98/g1^32 + (3*t^5.12)/g1^4 + 2*g1^10*t^5.19 + g1^24*t^5.27 + t^5.45/g1^23 + 4*g1^5*t^5.6 + g1^19*t^5.67 + (2*t^5.93)/g1^14 - 2*t^6. + 4*g1^14*t^6.07 + t^6.4/g1^5 + 4*g1^9*t^6.48 + g1^23*t^6.55 + t^6.81/g1^10 + 2*g1^4*t^6.88 + 3*g1^18*t^6.95 + (2*t^7.14)/g1^29 + (2*t^7.28)/g1 + 4*g1^13*t^7.35 + 2*g1^27*t^7.43 + t^7.46/g1^48 + (3*t^7.61)/g1^20 - t^7.68/g1^6 + 6*g1^8*t^7.76 + 3*g1^22*t^7.83 + g1^36*t^7.9 + t^7.94/g1^39 + (3*t^8.09)/g1^11 - 4*g1^3*t^8.16 + 6*g1^17*t^8.23 + g1^31*t^8.3 + (2*t^8.42)/g1^30 - (3*t^8.49)/g1^16 + (2*t^8.56)/g1^2 + 2*g1^12*t^8.63 + 4*g1^26*t^8.71 + t^8.89/g1^21 - (3*t^8.96)/g1^7 - t^4.28/(g1*y) - (g1^2*t^6.44)/y - t^6.77/(g1^17*y) - (g1^11*t^6.91)/y + (g1^6*t^7.32)/y + (3*t^7.65)/(g1^13*y) + (3*g1^15*t^7.79)/y + (4*t^8.12)/(g1^4*y) + (2*g1^10*t^8.19)/y + t^8.45/(g1^23*y) + t^8.52/(g1^9*y) + (4*g1^5*t^8.6)/y + (g1^19*t^8.67)/y + t^8.93/(g1^14*y) - (t^4.28*y)/g1 - g1^2*t^6.44*y - (t^6.77*y)/g1^17 - g1^11*t^6.91*y + g1^6*t^7.32*y + (3*t^7.65*y)/g1^13 + 3*g1^15*t^7.79*y + (4*t^8.12*y)/g1^4 + 2*g1^10*t^8.19*y + (t^8.45*y)/g1^23 + (t^8.52*y)/g1^9 + 4*g1^5*t^8.6*y + g1^19*t^8.67*y + (t^8.93*y)/g1^14 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6726 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_6M_8$ + $ M_5M_7$ + $ M_3^2$ | 0.5773 | 0.7414 | 0.7787 | [X:[], M:[0.75, 1.125, 1.0, 0.6875, 1.0625, 1.3125, 0.9375, 0.6875], q:[0.9375, 0.3125], qb:[0.375, 0.625], phi:[0.4375]] | 2*t^2.06 + t^2.25 + t^2.81 + t^3. + t^3.19 + 2*t^3.38 + t^3.56 + 3*t^4.12 + 2*t^4.31 + t^4.5 + t^4.69 + 2*t^4.88 + 3*t^5.06 + 3*t^5.25 + 4*t^5.44 + 4*t^5.62 + t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 9459/16384, c: 12147/16384, M1: 3/4, M2: 9/8, M3: 1, M4: 11/16, M5: 17/16, M6: 21/16, M7: 15/16, M8: 11/16, q1: 15/16, q2: 5/16, qb1: 3/8, qb2: 5/8, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3482 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_6M_8$ | 0.6727 | 0.8545 | 0.7872 | [X:[], M:[0.7831, 1.2306, 0.7556, 0.8459, 0.6928, 1.1541, 0.7066, 0.8459], q:[0.7625, 0.4544], qb:[0.3916, 0.8528], phi:[0.3847]] | t^2.08 + t^2.12 + t^2.27 + t^2.35 + 2*t^2.54 + t^3.5 + 2*t^3.69 + t^4.16 + t^4.2 + t^4.24 + t^4.35 + t^4.39 + t^4.43 + t^4.47 + t^4.53 + 3*t^4.62 + 2*t^4.66 + t^4.7 + 2*t^4.8 + t^4.85 + 2*t^4.89 + 3*t^5.08 + t^5.58 + t^5.62 + 2*t^5.77 + t^5.81 + t^5.85 + t^5.96 - 3*t^6. - t^4.15/y - t^4.15*y | detail |