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 |
|---|---|---|---|---|---|---|---|---|---|
| 5140 | 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$ + $ 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]] | [X:[], M:[[10], [4], [-18], [6], [-14], [-6], [0], [6]], 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_8$, $ M_5$, $ M_1$, $ M_7$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_4$, $ M_3M_8$, $ \phi_1q_1q_2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_5$, $ q_1\tilde{q}_2$, $ M_1M_3$, $ M_4M_5$, $ M_5M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_7$, $ M_1M_4$, $ M_1M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_4M_7$, $ M_7M_8$, $ M_2M_3$, $ M_5M_7$, $ M_1^2$, $ M_2M_4$, $ M_1M_7$, $ M_2M_8$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_8\phi_1q_2\tilde{q}_1$ | . | -2 | 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. + 2*t^6.16 + t^6.27 + 3*t^6.37 + 2*t^6.49 + 2*t^6.7 + t^6.81 + 4*t^6.91 + 3*t^7.02 + 2*t^7.07 + t^7.18 + 2*t^7.23 + t^7.34 + 2*t^7.39 + 2*t^7.44 + 2*t^7.56 + 4*t^7.61 + 2*t^7.72 + t^7.88 + 3*t^7.93 + 2*t^7.98 - 2*t^8.09 + 6*t^8.14 + 2*t^8.25 - 4*t^8.3 + t^8.36 + 3*t^8.46 + t^8.51 + 2*t^8.58 - 3*t^8.63 + 4*t^8.68 + 3*t^8.79 - 3*t^8.84 + t^8.9 - t^4.23/y - t^6.32/y - t^6.54/y - t^6.86/y - t^7.07/y + (3*t^7.39)/y + (2*t^7.61)/y + t^7.72/y + (4*t^7.93)/y + t^8.09/y + (3*t^8.14)/y + (2*t^8.3)/y - t^8.41/y + t^8.46/y + (2*t^8.63)/y + (4*t^8.84)/y - t^8.95/y - t^4.23*y - t^6.32*y - t^6.54*y - t^6.86*y - t^7.07*y + 3*t^7.39*y + 2*t^7.61*y + t^7.72*y + 4*t^7.93*y + t^8.09*y + 3*t^8.14*y + 2*t^8.3*y - t^8.41*y + t^8.46*y + 2*t^8.63*y + 4*t^8.84*y - t^8.95*y | t^2.09/g1^18 + 2*g1^6*t^2.3 + t^2.63/g1^14 + g1^10*t^2.84 + t^3. + 2*g1^4*t^3.54 + g1^8*t^4.07 + t^4.18/g1^36 + (2*t^4.39)/g1^12 + 3*g1^12*t^4.61 + t^4.72/g1^32 + g1^2*t^4.77 + (3*t^4.93)/g1^8 + t^5.09/g1^18 + 2*g1^16*t^5.14 + t^5.25/g1^28 + 2*g1^6*t^5.3 + (2*t^5.63)/g1^14 + g1^20*t^5.68 + 4*g1^10*t^5.84 - 2*t^6. + (2*t^6.16)/g1^10 + t^6.27/g1^54 + 3*g1^14*t^6.37 + (2*t^6.49)/g1^30 + (2*t^6.7)/g1^6 + t^6.81/g1^50 + 4*g1^18*t^6.91 + (3*t^7.02)/g1^26 + 2*g1^8*t^7.07 + t^7.18/g1^36 + (2*t^7.23)/g1^2 + t^7.34/g1^46 + (2*t^7.39)/g1^12 + 2*g1^22*t^7.44 + (2*t^7.56)/g1^22 + 4*g1^12*t^7.61 + (2*t^7.72)/g1^32 + t^7.88/g1^42 + (3*t^7.93)/g1^8 + 2*g1^26*t^7.98 - (2*t^8.09)/g1^18 + 6*g1^16*t^8.14 + (2*t^8.25)/g1^28 - 4*g1^6*t^8.3 + t^8.36/g1^72 + (3*t^8.46)/g1^4 + g1^30*t^8.51 + (2*t^8.58)/g1^48 - (3*t^8.63)/g1^14 + 4*g1^20*t^8.68 + (3*t^8.79)/g1^24 - 3*g1^10*t^8.84 + t^8.9/g1^68 - t^4.23/(g1^2*y) - t^6.32/(g1^20*y) - (g1^4*t^6.54)/y - t^6.86/(g1^16*y) - (g1^8*t^7.07)/y + (3*t^7.39)/(g1^12*y) + (2*g1^12*t^7.61)/y + t^7.72/(g1^32*y) + (4*t^7.93)/(g1^8*y) + t^8.09/(g1^18*y) + (3*g1^16*t^8.14)/y + (2*g1^6*t^8.3)/y - t^8.41/(g1^38*y) + t^8.46/(g1^4*y) + (2*t^8.63)/(g1^14*y) + (4*g1^10*t^8.84)/y - t^8.95/(g1^34*y) - (t^4.23*y)/g1^2 - (t^6.32*y)/g1^20 - g1^4*t^6.54*y - (t^6.86*y)/g1^16 - g1^8*t^7.07*y + (3*t^7.39*y)/g1^12 + 2*g1^12*t^7.61*y + (t^7.72*y)/g1^32 + (4*t^7.93*y)/g1^8 + (t^8.09*y)/g1^18 + 3*g1^16*t^8.14*y + 2*g1^6*t^8.3*y - (t^8.41*y)/g1^38 + (t^8.46*y)/g1^4 + (2*t^8.63*y)/g1^14 + 4*g1^10*t^8.84*y - (t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 6713 | $M_1q_1q_2$ + $ 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$ + $ M_3M_5$ | 0.574 | 0.7342 | 0.7819 | [X:[], M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 1.0, 0.6875], q:[0.9062, 0.2812], qb:[0.4062, 0.6562], phi:[0.4375]] | 2*t^2.06 + t^2.44 + t^2.81 + t^3. + t^3.19 + 2*t^3.38 + t^3.75 + 3*t^4.12 + 2*t^4.5 + t^4.69 + 3*t^4.88 + 2*t^5.06 + 3*t^5.25 + 4*t^5.44 + t^5.62 + 4*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 75237/131072, c: 96229/131072, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 1, M8: 11/16, q1: 29/32, q2: 9/32, qb1: 13/32, qb2: 21/32, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^4.23/y - t^4.23*y | detail |