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 |
|---|---|---|---|---|---|---|---|---|---|
| 55122 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6952 | 0.8534 | 0.8146 | [X:[], M:[1.0267, 1.0446, 0.9733, 0.9376, 1.0089, 0.9554], q:[0.4688, 0.5045], qb:[0.4866, 0.5579], phi:[0.4955]] | [X:[], M:[[6], [10], [-6], [-14], [2], [-10]], q:[[-7], [1]], qb:[[-3], [13]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_6$, $ M_3M_4$, $ M_6^2$, $ M_3M_6$, $ M_4\phi_1^2$, $ M_3^2$, $ M_4M_5$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_3M_5$, $ M_1M_6$, $ \phi_1^4$, $ M_4\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.81 + t^2.87 + t^2.92 + t^2.97 + t^3.03 + t^3.08 + t^3.13 + t^4.3 + t^4.35 + 2*t^4.41 + t^4.46 + t^4.51 + t^4.57 + t^4.62 + t^4.67 + t^4.83 + t^5.63 + t^5.68 + t^5.73 + t^5.79 + 2*t^5.84 + 2*t^5.89 + 2*t^5.95 - t^6. + t^6.11 + t^6.16 + t^7.11 + 2*t^7.17 + 3*t^7.22 + 3*t^7.27 + 3*t^7.33 + 4*t^7.38 + 3*t^7.43 + 2*t^7.49 + t^7.54 + t^7.59 + 2*t^7.65 + t^7.7 + t^7.75 + t^7.81 + t^7.91 + t^7.97 + t^8.44 + t^8.49 + t^8.55 + 2*t^8.6 + 3*t^8.65 + 4*t^8.71 + 3*t^8.76 + t^8.81 - t^4.49/y - t^7.3/y + t^7.67/y + t^8.68/y + t^8.73/y + (2*t^8.79)/y + (2*t^8.84)/y + (3*t^8.89)/y + (3*t^8.95)/y - t^4.49*y - t^7.3*y + t^7.67*y + t^8.68*y + t^8.73*y + 2*t^8.79*y + 2*t^8.84*y + 3*t^8.89*y + 3*t^8.95*y | t^2.81/g1^14 + t^2.87/g1^10 + t^2.92/g1^6 + t^2.97/g1^2 + g1^2*t^3.03 + g1^6*t^3.08 + g1^10*t^3.13 + t^4.3/g1^15 + t^4.35/g1^11 + (2*t^4.41)/g1^7 + t^4.46/g1^3 + g1*t^4.51 + g1^5*t^4.57 + g1^9*t^4.62 + g1^13*t^4.67 + g1^25*t^4.83 + t^5.63/g1^28 + t^5.68/g1^24 + t^5.73/g1^20 + t^5.79/g1^16 + (2*t^5.84)/g1^12 + (2*t^5.89)/g1^8 + (2*t^5.95)/g1^4 - t^6. + g1^8*t^6.11 + g1^12*t^6.16 + t^7.11/g1^29 + (2*t^7.17)/g1^25 + (3*t^7.22)/g1^21 + (3*t^7.27)/g1^17 + (3*t^7.33)/g1^13 + (4*t^7.38)/g1^9 + (3*t^7.43)/g1^5 + (2*t^7.49)/g1 + g1^3*t^7.54 + g1^7*t^7.59 + 2*g1^11*t^7.65 + g1^15*t^7.7 + g1^19*t^7.75 + g1^23*t^7.81 + g1^31*t^7.91 + g1^35*t^7.97 + t^8.44/g1^42 + t^8.49/g1^38 + t^8.55/g1^34 + (2*t^8.6)/g1^30 + (3*t^8.65)/g1^26 + (4*t^8.71)/g1^22 + (3*t^8.76)/g1^18 + t^8.81/g1^14 - t^4.49/(g1*y) - t^7.3/(g1^15*y) + (g1^13*t^7.67)/y + t^8.68/(g1^24*y) + t^8.73/(g1^20*y) + (2*t^8.79)/(g1^16*y) + (2*t^8.84)/(g1^12*y) + (3*t^8.89)/(g1^8*y) + (3*t^8.95)/(g1^4*y) - (t^4.49*y)/g1 - (t^7.3*y)/g1^15 + g1^13*t^7.67*y + (t^8.68*y)/g1^24 + (t^8.73*y)/g1^20 + (2*t^8.79*y)/g1^16 + (2*t^8.84*y)/g1^12 + (3*t^8.89*y)/g1^8 + (3*t^8.95*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56764 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_3M_7$ | 0.6931 | 0.8496 | 0.8159 | [X:[], M:[1.0179, 1.0299, 0.9821, 0.9582, 1.006, 0.9701, 1.0179], q:[0.4791, 0.503], qb:[0.491, 0.5388], phi:[0.497]] | t^2.87 + t^2.91 + t^2.98 + t^3.02 + 2*t^3.05 + t^3.09 + t^4.37 + t^4.4 + 2*t^4.44 + t^4.47 + t^4.51 + t^4.54 + t^4.58 + t^4.62 + t^4.72 + t^5.75 + t^5.78 + t^5.89 + 2*t^5.93 + 2*t^5.96 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 56766 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_5M_7$ | 0.6961 | 0.8551 | 0.814 | [X:[], M:[1.0297, 1.0495, 0.9703, 0.9307, 1.0099, 0.9505, 0.9901], q:[0.4653, 0.505], qb:[0.4851, 0.5644], phi:[0.495]] | t^2.79 + t^2.85 + t^2.91 + 2*t^2.97 + t^3.09 + t^3.15 + t^4.28 + t^4.34 + 2*t^4.4 + t^4.46 + t^4.51 + t^4.57 + t^4.63 + t^4.69 + t^4.87 + t^5.58 + t^5.64 + t^5.7 + 2*t^5.76 + 2*t^5.82 + 2*t^5.88 + 3*t^5.94 - 2*t^6. - t^4.49/y - t^4.49*y | detail | {a: 113613/163216, c: 69785/81608, M1: 104/101, M2: 106/101, M3: 98/101, M4: 94/101, M5: 102/101, M6: 96/101, M7: 100/101, q1: 47/101, q2: 51/101, qb1: 49/101, qb2: 57/101, phi1: 50/101} |
| 56763 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_6M_7$ | 0.6922 | 0.8481 | 0.8162 | [X:[], M:[1.0121, 1.0201, 0.9879, 0.9718, 1.004, 0.9799, 1.0201], q:[0.4859, 0.502], qb:[0.494, 0.5262], phi:[0.498]] | t^2.92 + t^2.96 + t^2.99 + t^3.01 + t^3.04 + 2*t^3.06 + t^4.41 + t^4.43 + 2*t^4.46 + t^4.48 + t^4.51 + t^4.53 + t^4.55 + t^4.58 + t^4.65 + t^5.83 + t^5.93 + t^5.95 + 2*t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 56765 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1^2$ | 0.6944 | 0.8519 | 0.8151 | [X:[], M:[1.0238, 1.0397, 0.9762, 0.9445, 1.0079, 0.9603, 1.0079], q:[0.4722, 0.504], qb:[0.4881, 0.5515], phi:[0.496]] | t^2.83 + t^2.88 + t^2.93 + 2*t^3.02 + t^3.07 + t^3.12 + t^4.32 + t^4.37 + 2*t^4.42 + t^4.46 + t^4.51 + t^4.56 + t^4.61 + t^4.65 + t^4.8 + t^5.67 + t^5.71 + t^5.76 + 2*t^5.86 + 2*t^5.9 + 2*t^5.95 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 56767 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7005 | 0.864 | 0.8107 | [X:[], M:[1.041, 1.0683, 0.959, 0.9044, 1.0137, 0.9317, 0.9317], q:[0.4522, 0.5068], qb:[0.4795, 0.5888], phi:[0.4932]] | t^2.71 + 2*t^2.8 + t^2.88 + t^2.96 + t^3.04 + t^3.12 + t^4.19 + t^4.27 + 2*t^4.36 + t^4.44 + t^4.52 + t^4.6 + t^4.68 + t^4.77 + t^5.01 + t^5.43 + 2*t^5.51 + 3*t^5.59 + 2*t^5.67 + 3*t^5.75 + 3*t^5.84 + 2*t^5.92 - 2*t^6. - t^4.48/y - t^4.48*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47051 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ | 0.6952 | 0.8535 | 0.8145 | [X:[], M:[1.0257, 1.0461, 0.9743, 0.9368, 1.0086, 0.9539], q:[0.4684, 0.5059], qb:[0.4855, 0.5572], phi:[0.4957]] | t^2.81 + t^2.86 + t^2.92 + t^2.97 + t^3.03 + t^3.08 + t^3.13 + t^4.3 + t^4.35 + t^4.4 + t^4.41 + t^4.46 + t^4.52 + t^4.56 + t^4.62 + t^4.68 + t^4.83 + t^5.62 + t^5.67 + t^5.72 + t^5.78 + 2*t^5.84 + t^5.89 + t^5.9 + t^5.94 + t^5.95 + t^5.99 - 2*t^6. - t^4.49/y - t^4.49*y | detail |