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 |
|---|---|---|---|---|---|---|---|---|---|
| 52057 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_3M_6$ | 0.6625 | 0.8215 | 0.8064 | [X:[], M:[1.182, 0.9984, 0.818, 0.818, 0.7278, 1.182], q:[0.409, 0.409], qb:[0.5925, 0.7729], phi:[0.4541]] | [X:[], M:[[2], [-22], [-2], [-2], [8], [2]], q:[[-1], [-1]], qb:[[23], [3]], phi:[[-6]]] | 1 | {a: 5744057/8670000, c: 7122757/8670000, M1: 1507/1275, M2: 1273/1275, M3: 1043/1275, M4: 1043/1275, M5: 928/1275, M6: 1507/1275, q1: 1043/2550, q2: 1043/2550, qb1: 1511/2550, qb2: 657/850, phi1: 193/425} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ M_1$, $ M_6$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_4^2$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_5$, $ M_4\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_1M_5$, $ M_5M_6$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2^2$ | $M_1M_4$, $ M_4M_6$, $ M_5\phi_1q_2^2$, $ M_2q_2\tilde{q}_1$ | 0 | t^2.18 + t^2.45 + t^2.72 + 2*t^3. + 2*t^3.55 + 2*t^3.82 + t^4.1 + 3*t^4.37 + t^4.64 + 2*t^4.91 + t^4.92 + 2*t^5.18 + t^5.19 + t^5.46 + t^5.72 + 3*t^5.73 + t^5.99 + t^6.01 + 2*t^6.27 + t^6.28 + 3*t^6.54 + 3*t^6.55 + 3*t^6.82 + 3*t^7.09 + 2*t^7.1 + 3*t^7.36 + 3*t^7.37 + 3*t^7.63 + 2*t^7.64 + t^7.9 + 5*t^7.91 + t^7.92 + t^8.17 + t^8.18 + t^8.19 + t^8.44 - t^8.45 + 4*t^8.46 + 2*t^8.72 + 5*t^8.73 + t^8.99 - t^4.36/y - t^6.55/y - t^7.09/y - t^7.36/y + t^7.37/y + (2*t^7.64)/y + t^7.91/y + (3*t^8.18)/y + t^8.19/y + t^8.45/y + t^8.46/y + t^8.72/y + (2*t^8.73)/y - t^4.36*y - t^6.55*y - t^7.09*y - t^7.36*y + t^7.37*y + 2*t^7.64*y + t^7.91*y + 3*t^8.18*y + t^8.19*y + t^8.45*y + t^8.46*y + t^8.72*y + 2*t^8.73*y | g1^8*t^2.18 + t^2.45/g1^2 + t^2.72/g1^12 + t^3./g1^22 + g1^22*t^3. + 2*g1^2*t^3.55 + (2*t^3.82)/g1^8 + g1^26*t^4.1 + 3*g1^16*t^4.37 + g1^6*t^4.64 + (2*t^4.91)/g1^4 + g1^40*t^4.92 + (2*t^5.18)/g1^14 + g1^30*t^5.19 + g1^20*t^5.46 + t^5.72/g1^34 + 3*g1^10*t^5.73 + t^5.99/g1^44 + g1^44*t^6.01 + (2*t^6.27)/g1^10 + g1^34*t^6.28 + (3*t^6.54)/g1^20 + 3*g1^24*t^6.55 + 3*g1^14*t^6.82 + 3*g1^4*t^7.09 + 2*g1^48*t^7.1 + (3*t^7.36)/g1^6 + 3*g1^38*t^7.37 + (3*t^7.63)/g1^16 + 2*g1^28*t^7.64 + t^7.9/g1^26 + 5*g1^18*t^7.91 + g1^62*t^7.92 + t^8.17/g1^36 + g1^8*t^8.18 + g1^52*t^8.19 + t^8.44/g1^46 - t^8.45/g1^2 + 4*g1^42*t^8.46 + t^8.72/g1^56 + t^8.72/g1^12 + 5*g1^32*t^8.73 + t^8.99/g1^66 - t^4.36/(g1^6*y) - (g1^2*t^6.55)/y - t^7.09/(g1^18*y) - t^7.36/(g1^28*y) + (g1^16*t^7.37)/y + (2*g1^6*t^7.64)/y + t^7.91/(g1^4*y) + (3*t^8.18)/(g1^14*y) + (g1^30*t^8.19)/y + t^8.45/(g1^24*y) + (g1^20*t^8.46)/y + t^8.72/(g1^34*y) + (2*g1^10*t^8.73)/y - (t^4.36*y)/g1^6 - g1^2*t^6.55*y - (t^7.09*y)/g1^18 - (t^7.36*y)/g1^28 + g1^16*t^7.37*y + 2*g1^6*t^7.64*y + (t^7.91*y)/g1^4 + (3*t^8.18*y)/g1^14 + g1^30*t^8.19*y + (t^8.45*y)/g1^24 + g1^20*t^8.46*y + (t^8.72*y)/g1^34 + 2*g1^10*t^8.73*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 |
|---|---|---|---|---|---|---|---|---|
| 56398 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_3M_6$ + $ M_5M_7$ | 0.6427 | 0.7846 | 0.8192 | [X:[], M:[1.1826, 0.9919, 0.8174, 0.8174, 0.7302, 1.1826, 1.2698], q:[0.4087, 0.4087], qb:[0.5994, 0.7738], phi:[0.4523]] | t^2.45 + t^2.71 + t^2.98 + t^3.02 + 2*t^3.55 + 3*t^3.81 + t^4.12 + 2*t^4.38 + t^4.9 + t^4.95 + t^5.17 + t^5.48 + t^5.69 + t^5.74 + t^5.95 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 2580329/4014744, c: 6299723/8029488, M1: 1451/1227, M2: 1217/1227, M3: 1003/1227, M4: 1003/1227, M5: 896/1227, M6: 1451/1227, M7: 1558/1227, q1: 1003/2454, q2: 1003/2454, qb1: 1471/2454, qb2: 633/818, phi1: 185/409} |
| 56402 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_3M_6$ + $ M_7\phi_1q_1^2$ | 0.6824 | 0.8588 | 0.7946 | [X:[], M:[1.1814, 1.0045, 0.8186, 0.8186, 0.7256, 1.1814, 0.7256], q:[0.4093, 0.4093], qb:[0.5862, 0.7721], phi:[0.4558]] | 2*t^2.18 + t^2.46 + t^2.73 + t^2.99 + t^3.01 + 2*t^3.54 + t^3.82 + t^4.07 + 5*t^4.35 + 2*t^4.63 + t^4.88 + 3*t^4.91 + 2*t^5.16 + 3*t^5.19 + t^5.44 + 5*t^5.72 + t^5.75 + t^5.97 - t^4.37/y - t^4.37*y | detail | {a: 14746/21609, c: 296941/345744, M1: 521/441, M2: 443/441, M3: 361/441, M4: 361/441, M5: 320/441, M6: 521/441, M7: 320/441, q1: 361/882, q2: 361/882, qb1: 517/882, qb2: 227/294, phi1: 67/147} |
| 56400 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_3M_6$ + $ M_7q_2\tilde{q}_1$ | 0.6651 | 0.8251 | 0.8061 | [X:[], M:[1.1867, 0.9459, 0.8133, 0.8133, 0.7469, 1.1867, 0.9459], q:[0.4066, 0.4066], qb:[0.6475, 0.7801], phi:[0.4398]] | t^2.24 + t^2.44 + t^2.64 + 2*t^2.84 + 2*t^3.56 + 2*t^3.76 + t^4.28 + 3*t^4.48 + t^4.68 + 2*t^4.88 + 3*t^5.08 + t^5.2 + t^5.28 + 2*t^5.48 + 3*t^5.68 + 2*t^5.8 - t^6. - t^4.32/y - t^4.32*y | detail | |
| 56394 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_3M_6$ + $ \tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ | 0.4329 | 0.5098 | 0.8491 | [X:[1.5385, 1.3846], M:[1.2308, 0.4615, 0.7692, 0.7692, 0.9231, 1.2308], q:[0.3846, 0.3846], qb:[1.1538, 0.8462], phi:[0.3077]] | t^2.31 + t^2.77 + 2*t^3.23 + t^4.15 + t^4.62 + t^5.08 + 3*t^5.54 - 2*t^6. - t^3.92/y - t^3.92*y | detail | {a: 951/2197, c: 1120/2197, X1: 20/13, X2: 18/13, M1: 16/13, M2: 6/13, M3: 10/13, M4: 10/13, M5: 12/13, M6: 16/13, q1: 5/13, q2: 5/13, qb1: 15/13, qb2: 11/13, phi1: 4/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47041 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ | 0.6779 | 0.8482 | 0.7993 | [X:[], M:[1.1823, 0.9951, 0.8177, 0.8177, 0.7291], q:[0.4089, 0.4089], qb:[0.596, 0.7734], phi:[0.4532]] | t^2.19 + 2*t^2.45 + t^2.72 + t^2.99 + t^3.01 + t^3.55 + 2*t^3.81 + t^4.11 + 3*t^4.37 + 2*t^4.64 + 4*t^4.91 + t^4.94 + 3*t^5.17 + t^5.2 + t^5.44 + 2*t^5.47 + t^5.7 + 2*t^5.73 + t^5.97 - t^4.36/y - t^4.36*y | detail | {a: 93927043/138556848, c: 58758829/69278424, M1: 6026/5097, M2: 5072/5097, M3: 4168/5097, M4: 4168/5097, M5: 3716/5097, q1: 2084/5097, q2: 2084/5097, qb1: 3038/5097, qb2: 1314/1699, phi1: 770/1699} |