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 |
|---|---|---|---|---|---|---|---|---|---|
| 3480 | 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_7^2$ | 0.595 | 0.7426 | 0.8012 | [X:[], M:[0.9523, 1.1809, 0.6859, 0.7714, 0.8668, 1.2286, 1.0], q:[0.7525, 0.2952], qb:[0.4761, 0.8379], phi:[0.4095]] | [X:[], M:[[10], [4], [-18], [6], [-14], [-6], [0]], q:[[-11], [1]], qb:[[5], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_5$, $ M_1$, $ M_7$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_5$, $ q_1\tilde{q}_2$, $ M_1M_3$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_7$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_4M_7$, $ M_2M_3$, $ M_5M_7$, $ M_1^2$, $ M_3M_6$, $ \phi_1q_1^2$, $ M_2M_4$, $ M_1M_7$, $ M_4\phi_1q_2\tilde{q}_1$ | . | -1 | t^2.06 + t^2.31 + t^2.6 + t^2.86 + t^3. + 2*t^3.54 + t^3.69 + t^4.09 + t^4.12 + t^4.37 + t^4.63 + t^4.66 + t^4.77 + 2*t^4.91 + t^5.06 + t^5.17 + t^5.2 + t^5.31 + 2*t^5.6 + t^5.71 + t^5.74 + 2*t^5.86 - t^6. + 2*t^6.14 + t^6.17 + t^6.29 + 2*t^6.4 + t^6.43 + t^6.54 + t^6.69 + t^6.72 + t^6.94 + 2*t^6.97 + t^7.09 + t^7.12 + t^7.23 + t^7.26 + 2*t^7.37 + t^7.52 + 2*t^7.63 + 2*t^7.66 + t^7.77 + 2*t^7.8 + t^7.91 + t^8.03 - t^8.06 + 2*t^8.17 + 2*t^8.2 + t^8.23 - t^8.31 + t^8.34 + 2*t^8.46 + t^8.49 + t^8.57 - t^8.6 + t^8.71 + 2*t^8.74 + t^8.77 - 2*t^8.86 + t^8.89 - t^4.23/y - t^6.29/y - t^6.83/y - t^7.09/y + (2*t^7.37)/y + t^7.63/y + t^7.66/y + (2*t^7.91)/y + t^8.06/y + (2*t^8.17)/y + t^8.31/y - t^8.34/y + t^8.46/y + (3*t^8.6)/y + t^8.74/y + (3*t^8.86)/y - t^8.89/y - t^4.23*y - t^6.29*y - t^6.83*y - t^7.09*y + 2*t^7.37*y + t^7.63*y + t^7.66*y + 2*t^7.91*y + t^8.06*y + 2*t^8.17*y + t^8.31*y - t^8.34*y + t^8.46*y + 3*t^8.6*y + t^8.74*y + 3*t^8.86*y - t^8.89*y | t^2.06/g1^18 + g1^6*t^2.31 + t^2.6/g1^14 + g1^10*t^2.86 + t^3. + 2*g1^4*t^3.54 + t^3.69/g1^6 + g1^8*t^4.09 + t^4.12/g1^36 + t^4.37/g1^12 + g1^12*t^4.63 + t^4.66/g1^32 + g1^2*t^4.77 + (2*t^4.91)/g1^8 + t^5.06/g1^18 + g1^16*t^5.17 + t^5.2/g1^28 + g1^6*t^5.31 + (2*t^5.6)/g1^14 + g1^20*t^5.71 + t^5.74/g1^24 + 2*g1^10*t^5.86 - t^6. + (2*t^6.14)/g1^10 + t^6.17/g1^54 + t^6.29/g1^20 + 2*g1^14*t^6.4 + t^6.43/g1^30 + g1^4*t^6.54 + t^6.69/g1^6 + t^6.72/g1^50 + g1^18*t^6.94 + (2*t^6.97)/g1^26 + g1^8*t^7.09 + t^7.12/g1^36 + t^7.23/g1^2 + t^7.26/g1^46 + (2*t^7.37)/g1^12 + t^7.52/g1^22 + 2*g1^12*t^7.63 + (2*t^7.66)/g1^32 + g1^2*t^7.77 + (2*t^7.8)/g1^42 + t^7.91/g1^8 + g1^26*t^8.03 - t^8.06/g1^18 + 2*g1^16*t^8.17 + (2*t^8.2)/g1^28 + t^8.23/g1^72 - g1^6*t^8.31 + t^8.34/g1^38 + (2*t^8.46)/g1^4 + t^8.49/g1^48 + g1^30*t^8.57 - t^8.6/g1^14 + g1^20*t^8.71 + (2*t^8.74)/g1^24 + t^8.77/g1^68 - 2*g1^10*t^8.86 + t^8.89/g1^34 - t^4.23/(g1^2*y) - t^6.29/(g1^20*y) - t^6.83/(g1^16*y) - (g1^8*t^7.09)/y + (2*t^7.37)/(g1^12*y) + (g1^12*t^7.63)/y + t^7.66/(g1^32*y) + (2*t^7.91)/(g1^8*y) + t^8.06/(g1^18*y) + (2*g1^16*t^8.17)/y + (g1^6*t^8.31)/y - t^8.34/(g1^38*y) + t^8.46/(g1^4*y) + (3*t^8.6)/(g1^14*y) + t^8.74/(g1^24*y) + (3*g1^10*t^8.86)/y - t^8.89/(g1^34*y) - (t^4.23*y)/g1^2 - (t^6.29*y)/g1^20 - (t^6.83*y)/g1^16 - g1^8*t^7.09*y + (2*t^7.37*y)/g1^12 + g1^12*t^7.63*y + (t^7.66*y)/g1^32 + (2*t^7.91*y)/g1^8 + (t^8.06*y)/g1^18 + 2*g1^16*t^8.17*y + g1^6*t^8.31*y - (t^8.34*y)/g1^38 + (t^8.46*y)/g1^4 + (3*t^8.6*y)/g1^14 + (t^8.74*y)/g1^24 + 3*g1^10*t^8.86*y - (t^8.89*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5146 | $M_1q_1q_2$ + $ 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_7^2$ + $ M_3M_5$ | 0.5533 | 0.6939 | 0.7973 | [X:[], M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 1.0], q:[0.9062, 0.2812], qb:[0.4062, 0.6562], phi:[0.4375]] | t^2.06 + t^2.44 + t^2.81 + t^3. + t^3.19 + 2*t^3.38 + t^3.75 + t^3.94 + t^4.12 + t^4.5 + t^4.69 + 2*t^4.88 + t^5.06 + 2*t^5.25 + 2*t^5.44 + t^5.62 + 3*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 36261/65536, c: 45477/65536, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 1, q1: 29/32, q2: 9/32, qb1: 13/32, qb2: 21/32, phi1: 7/16} |
| 5140 | $M_1q_1q_2$ + $ 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_7^2$ + $ M_6M_8$ | 0.6132 | 0.775 | 0.7912 | [X:[], M:[0.9461, 1.1784, 0.697, 0.7677, 0.8755, 1.2323, 1.0, 0.7677], q:[0.7593, 0.2946], qb:[0.473, 0.8299], phi:[0.4108]] | t^2.09 + 2*t^2.3 + t^2.63 + t^2.84 + t^3. + 2*t^3.54 + t^4.07 + t^4.18 + 2*t^4.39 + 3*t^4.61 + t^4.72 + t^4.77 + 3*t^4.93 + t^5.09 + 2*t^5.14 + t^5.25 + 2*t^5.3 + 2*t^5.63 + t^5.68 + 4*t^5.84 - 2*t^6. - t^4.23/y - t^4.23*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2900 | 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$ | 0.6596 | 0.8332 | 0.7916 | [X:[], M:[0.7847, 1.2363, 0.7427, 0.8544, 0.673, 1.1456, 0.6939], q:[0.7532, 0.4621], qb:[0.3923, 0.8649], phi:[0.3819]] | t^2.02 + t^2.08 + t^2.23 + t^2.35 + t^2.56 + t^3.44 + t^3.5 + 2*t^3.71 + t^4.04 + t^4.1 + t^4.16 + t^4.25 + t^4.31 + t^4.37 + t^4.44 + t^4.46 + 2*t^4.58 + t^4.65 + t^4.71 + t^4.79 + t^4.85 + t^4.92 + t^5.13 + t^5.46 + 2*t^5.52 + t^5.58 + t^5.66 + 2*t^5.73 + 2*t^5.79 + t^5.85 + t^5.94 - 2*t^6. - t^4.15/y - t^4.15*y | detail |