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 |
|---|---|---|---|---|---|---|---|---|---|
| 1652 | 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_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_6M_7$ | 0.5358 | 0.673 | 0.7962 | [X:[1.4155], M:[0.9223, 1.2207, 0.5845, 0.8311, 0.7793, 1.1689, 0.8311], q:[0.8052, 0.2207], qb:[0.857, 0.5585], phi:[0.3896]] | [X:[[3]], M:[[-15], [4], [-3], [6], [-4], [-6], [6]], q:[[1], [4]], qb:[[11], [-8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ \phi_1^2$, $ M_4$, $ M_7$, $ M_1$, $ q_1q_2$, $ X_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_4M_5$, $ M_5M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ q_1\tilde{q}_1$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_1M_4$, $ M_1M_7$, $ M_5q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_4q_1q_2$, $ M_7q_1q_2$ | . | -3 | 2*t^2.34 + 2*t^2.49 + t^2.77 + t^3.08 + t^4.25 + t^4.4 + t^4.52 + 3*t^4.68 + 4*t^4.83 + 3*t^4.99 + t^5.1 + t^5.26 + 2*t^5.42 + t^5.53 + 2*t^5.57 - 3*t^6. - t^6.16 - t^6.27 + t^6.31 - t^6.43 + t^6.58 + 2*t^6.74 + 3*t^6.86 + t^6.9 + 5*t^7.01 + 4*t^7.17 + t^7.29 + 5*t^7.32 + t^7.44 + 4*t^7.48 + t^7.6 + 3*t^7.75 + t^7.87 + t^7.91 + t^8.03 + t^8.06 - t^8.18 + t^8.3 - 6*t^8.34 - 7*t^8.49 - t^8.61 + t^8.65 - 4*t^8.77 + 2*t^8.8 - t^8.92 - t^4.17/y - t^6.51/y - t^6.66/y - t^6.94/y + t^7.4/y + (2*t^7.68)/y + (5*t^7.83)/y + t^7.99/y + (2*t^8.1)/y + (2*t^8.26)/y + (2*t^8.42)/y + (2*t^8.57)/y - t^4.17*y - t^6.51*y - t^6.66*y - t^6.94*y + t^7.4*y + 2*t^7.68*y + 5*t^7.83*y + t^7.99*y + 2*t^8.1*y + 2*t^8.26*y + 2*t^8.42*y + 2*t^8.57*y | (2*t^2.34)/g1^4 + 2*g1^6*t^2.49 + t^2.77/g1^15 + g1^5*t^3.08 + g1^3*t^4.25 + g1^13*t^4.4 + t^4.52/g1^18 + (3*t^4.68)/g1^8 + 4*g1^2*t^4.83 + 3*g1^12*t^4.99 + t^5.1/g1^19 + t^5.26/g1^9 + 2*g1*t^5.42 + t^5.53/g1^30 + 2*g1^11*t^5.57 - 3*t^6. - g1^10*t^6.16 - t^6.27/g1^21 + g1^20*t^6.31 - t^6.43/g1^11 + t^6.58/g1 + 2*g1^9*t^6.74 + (3*t^6.86)/g1^22 + g1^19*t^6.9 + (5*t^7.01)/g1^12 + (4*t^7.17)/g1^2 + t^7.29/g1^33 + 5*g1^8*t^7.32 + t^7.44/g1^23 + 4*g1^18*t^7.48 + t^7.6/g1^13 + (3*t^7.75)/g1^3 + t^7.87/g1^34 + g1^7*t^7.91 + t^8.03/g1^24 + g1^17*t^8.06 - t^8.18/g1^14 + t^8.3/g1^45 - (6*t^8.34)/g1^4 - 7*g1^6*t^8.49 - t^8.61/g1^25 + g1^16*t^8.65 - (4*t^8.77)/g1^15 + 2*g1^26*t^8.8 - t^8.92/g1^5 - t^4.17/(g1^2*y) - t^6.51/(g1^6*y) - (g1^4*t^6.66)/y - t^6.94/(g1^17*y) + (g1^13*t^7.4)/y + (2*t^7.68)/(g1^8*y) + (5*g1^2*t^7.83)/y + (g1^12*t^7.99)/y + (2*t^8.1)/(g1^19*y) + (2*t^8.26)/(g1^9*y) + (2*g1*t^8.42)/y + (2*g1^11*t^8.57)/y - (t^4.17*y)/g1^2 - (t^6.51*y)/g1^6 - g1^4*t^6.66*y - (t^6.94*y)/g1^17 + g1^13*t^7.4*y + (2*t^7.68*y)/g1^8 + 5*g1^2*t^7.83*y + g1^12*t^7.99*y + (2*t^8.1*y)/g1^19 + (2*t^8.26*y)/g1^9 + 2*g1*t^8.42*y + 2*g1^11*t^8.57*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 |
|---|---|---|---|---|---|---|---|---|
| 4050 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_6M_7$ + $ M_1M_5$ | 0.5067 | 0.6448 | 0.7857 | [X:[1.3684], M:[1.1579, 1.1579, 0.6316, 0.7368, 0.8421, 1.2632, 0.7368], q:[0.7895, 0.1579], qb:[0.6842, 0.6842], phi:[0.4211]] | 2*t^2.21 + 2*t^2.53 + t^2.84 + t^3.47 + t^3.79 + t^4.11 + 3*t^4.42 + 4*t^4.74 + 5*t^5.05 + 4*t^5.37 - t^6. - t^4.26/y - t^4.26*y | detail | {a: 27801/54872, c: 17691/27436, X1: 26/19, M1: 22/19, M2: 22/19, M3: 12/19, M4: 14/19, M5: 16/19, M6: 24/19, M7: 14/19, q1: 15/19, q2: 3/19, qb1: 13/19, qb2: 13/19, phi1: 8/19} |
| 4051 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_6M_7$ + $ M_4q_1q_2$ | 0.5139 | 0.6503 | 0.7903 | [X:[1.4545], M:[0.7273, 1.2727, 0.5455, 0.9091, 0.7273, 1.0909, 0.9091], q:[0.8182, 0.2727], qb:[1.0, 0.4545], phi:[0.3636]] | 3*t^2.18 + 2*t^2.73 + t^3.27 + t^3.82 + 6*t^4.36 + 6*t^4.91 + 4*t^5.45 + 2*t^6. - t^4.09/y - t^4.09*y | detail | {a: 684/1331, c: 1731/2662, X1: 16/11, M1: 8/11, M2: 14/11, M3: 6/11, M4: 10/11, M5: 8/11, M6: 12/11, M7: 10/11, q1: 9/11, q2: 3/11, qb1: 1, qb2: 5/11, phi1: 4/11} |
| 4049 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_6M_7$ + $ M_8q_1q_2$ | 0.5386 | 0.6779 | 0.7946 | [X:[1.4211], M:[0.8946, 1.2281, 0.5789, 0.8422, 0.7719, 1.1578, 0.8422, 0.9649], q:[0.807, 0.2281], qb:[0.8773, 0.5438], phi:[0.3859]] | 2*t^2.32 + 2*t^2.53 + t^2.68 + t^2.89 + t^4.26 + t^4.42 + t^4.47 + 3*t^4.63 + 4*t^4.84 + t^5. + 3*t^5.05 + 3*t^5.21 + t^5.37 + 2*t^5.42 + t^5.58 - 3*t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1061 | 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_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ | 0.5217 | 0.6488 | 0.804 | [X:[1.4208], M:[0.8962, 1.2277, 0.5792, 0.8415, 0.7723, 1.1585], q:[0.8069, 0.2277], qb:[0.8761, 0.5447], phi:[0.3862]] | 2*t^2.32 + t^2.52 + t^2.69 + t^3.1 + t^3.48 + t^4.26 + t^4.43 + t^4.47 + 3*t^4.63 + 2*t^4.84 + t^5.01 + t^5.05 + t^5.38 + 2*t^5.42 + t^5.63 + 2*t^5.79 - 2*t^6. - t^4.16/y - t^4.16*y | detail |