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 |
|---|---|---|---|---|---|---|---|---|---|
| 4351 | 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_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ \phi_1\tilde{q}_2^2$ + $ M_8\phi_1q_1^2$ + $ M_3X_1$ | 0.671 | 0.8351 | 0.8035 | [X:[1.3364], M:[1.1682, 1.0841, 0.6636, 1.0375, 0.7943, 1.0, 0.8318, 0.7477], q:[0.3972, 0.4346], qb:[0.5654, 0.771], phi:[0.458]] | [X:[[16]], M:[[8], [4], [-16], [-22], [14], [0], [-8], [-12]], q:[[7], [-15]], qb:[[15], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_5$, $ M_7$, $ M_6$, $ M_4$, $ M_2$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ X_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_8^2$, $ M_5M_8$, $ M_7M_8$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_6M_8$, $ M_4M_8$, $ M_5M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_6M_7$, $ M_2M_8$, $ M_2M_5$, $ M_2M_7$, $ M_1M_8$ | . | -1 | t^2.24 + t^2.38 + t^2.5 + t^3. + t^3.11 + t^3.25 + t^3.5 + t^3.87 + t^3.98 + t^4.01 + t^4.26 + t^4.37 + t^4.49 + t^4.63 + t^4.74 + 2*t^4.77 + t^4.88 + t^4.99 + t^5.24 + t^5.36 + t^5.38 + 2*t^5.5 + t^5.64 + 2*t^5.75 - t^6. + t^6.11 + 2*t^6.22 + 2*t^6.25 + 2*t^6.36 + t^6.48 + 2*t^6.5 + t^6.62 + t^6.64 + t^6.73 + t^6.76 + t^6.87 + 2*t^6.98 + 2*t^7.01 + t^7.09 + t^7.12 + 2*t^7.15 + t^7.23 + 2*t^7.26 + t^7.37 + 2*t^7.49 + t^7.51 + t^7.6 + t^7.63 + 2*t^7.74 + t^7.77 + t^7.85 + 2*t^7.88 + t^7.96 + 2*t^7.99 + 2*t^8.02 + t^8.27 + 2*t^8.36 - 2*t^8.38 + 2*t^8.47 + 2*t^8.61 + t^8.64 + t^8.72 + 4*t^8.75 + t^8.78 + 2*t^8.86 + 2*t^8.97 - t^4.37/y - t^6.62/y - t^6.76/y + t^7.26/y - t^7.49/y + t^7.63/y + t^7.74/y + t^7.88/y + t^7.99/y + t^8.13/y + t^8.24/y + t^8.36/y + t^8.38/y + (3*t^8.5)/y + t^8.61/y + t^8.64/y + (2*t^8.75)/y - t^8.86/y + t^8.89/y - t^4.37*y - t^6.62*y - t^6.76*y + t^7.26*y - t^7.49*y + t^7.63*y + t^7.74*y + t^7.88*y + t^7.99*y + t^8.13*y + t^8.24*y + t^8.36*y + t^8.38*y + 3*t^8.5*y + t^8.61*y + t^8.64*y + 2*t^8.75*y - t^8.86*y + t^8.89*y | t^2.24/g1^12 + g1^14*t^2.38 + t^2.5/g1^8 + t^3. + t^3.11/g1^22 + g1^4*t^3.25 + g1^8*t^3.5 + t^3.87/g1^10 + t^3.98/g1^32 + g1^16*t^4.01 + g1^20*t^4.26 + t^4.37/g1^2 + t^4.49/g1^24 + g1^2*t^4.63 + t^4.74/g1^20 + 2*g1^28*t^4.77 + g1^6*t^4.88 + t^4.99/g1^16 + t^5.24/g1^12 + t^5.36/g1^34 + g1^14*t^5.38 + (2*t^5.5)/g1^8 + g1^18*t^5.64 + (2*t^5.75)/g1^4 - t^6. + t^6.11/g1^22 + (2*t^6.22)/g1^44 + 2*g1^4*t^6.25 + (2*t^6.36)/g1^18 + t^6.48/g1^40 + 2*g1^8*t^6.5 + t^6.62/g1^14 + g1^34*t^6.64 + t^6.73/g1^36 + g1^12*t^6.76 + t^6.87/g1^10 + (2*t^6.98)/g1^32 + 2*g1^16*t^7.01 + t^7.09/g1^54 + t^7.12/g1^6 + 2*g1^42*t^7.15 + t^7.23/g1^28 + 2*g1^20*t^7.26 + t^7.37/g1^2 + (2*t^7.49)/g1^24 + g1^24*t^7.51 + t^7.6/g1^46 + g1^2*t^7.63 + (2*t^7.74)/g1^20 + g1^28*t^7.77 + t^7.85/g1^42 + 2*g1^6*t^7.88 + t^7.96/g1^64 + (2*t^7.99)/g1^16 + 2*g1^32*t^8.02 + g1^36*t^8.27 + (2*t^8.36)/g1^34 - 2*g1^14*t^8.38 + (2*t^8.47)/g1^56 + (2*t^8.61)/g1^30 + g1^18*t^8.64 + t^8.72/g1^52 + (4*t^8.75)/g1^4 + g1^44*t^8.78 + (2*t^8.86)/g1^26 + (2*t^8.97)/g1^48 - t^4.37/(g1^2*y) - t^6.62/(g1^14*y) - (g1^12*t^6.76)/y + (g1^20*t^7.26)/y - t^7.49/(g1^24*y) + (g1^2*t^7.63)/y + t^7.74/(g1^20*y) + (g1^6*t^7.88)/y + t^7.99/(g1^16*y) + (g1^10*t^8.13)/y + t^8.24/(g1^12*y) + t^8.36/(g1^34*y) + (g1^14*t^8.38)/y + (3*t^8.5)/(g1^8*y) + t^8.61/(g1^30*y) + (g1^18*t^8.64)/y + (2*t^8.75)/(g1^4*y) - t^8.86/(g1^26*y) + (g1^22*t^8.89)/y - (t^4.37*y)/g1^2 - (t^6.62*y)/g1^14 - g1^12*t^6.76*y + g1^20*t^7.26*y - (t^7.49*y)/g1^24 + g1^2*t^7.63*y + (t^7.74*y)/g1^20 + g1^6*t^7.88*y + (t^7.99*y)/g1^16 + g1^10*t^8.13*y + (t^8.24*y)/g1^12 + (t^8.36*y)/g1^34 + g1^14*t^8.38*y + (3*t^8.5*y)/g1^8 + (t^8.61*y)/g1^30 + g1^18*t^8.64*y + (2*t^8.75*y)/g1^4 - (t^8.86*y)/g1^26 + g1^22*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 5797 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ \phi_1\tilde{q}_2^2$ + $ M_8\phi_1q_1^2$ + $ M_3X_1$ + $ M_4M_8$ | 0.6523 | 0.8141 | 0.8013 | [X:[1.2353], M:[1.1176, 1.0588, 0.7647, 1.1765, 0.7059, 1.0, 0.8824, 0.8235], q:[0.3529, 0.5294], qb:[0.4706, 0.7647], phi:[0.4706]] | t^2.12 + t^2.47 + t^2.65 + t^3. + t^3.18 + t^3.35 + t^3.53 + t^3.71 + t^3.88 + t^4.06 + 2*t^4.24 + t^4.41 + 2*t^4.59 + t^4.76 + t^4.94 + 2*t^5.12 + 2*t^5.29 + t^5.47 + 2*t^5.65 + 2*t^5.82 + t^6. - t^4.41/y - t^4.41*y | detail | {a: 12819/19652, c: 7999/9826, X1: 21/17, M1: 19/17, M2: 18/17, M3: 13/17, M4: 20/17, M5: 12/17, M6: 1, M7: 15/17, M8: 14/17, q1: 6/17, q2: 9/17, qb1: 8/17, qb2: 13/17, phi1: 8/17} |
| 5799 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ \phi_1\tilde{q}_2^2$ + $ M_8\phi_1q_1^2$ + $ M_3X_1$ + $ M_9\phi_1q_1q_2$ | 0.6913 | 0.8736 | 0.7913 | [X:[1.3328], M:[1.1664, 1.0832, 0.6672, 1.0424, 0.7912, 1.0, 0.8336, 0.7504, 0.708], q:[0.3956, 0.438], qb:[0.562, 0.7708], phi:[0.4584]] | t^2.12 + t^2.25 + t^2.37 + t^2.5 + t^3. + t^3.13 + t^3.25 + t^3.5 + 2*t^4. + 2*t^4.25 + 2*t^4.38 + 2*t^4.5 + 2*t^4.62 + 3*t^4.75 + t^4.87 + t^5. + t^5.12 + 2*t^5.25 + 2*t^5.37 + t^5.38 + 2*t^5.5 + 2*t^5.62 + 2*t^5.75 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 5800 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ \phi_1\tilde{q}_2^2$ + $ M_8\phi_1q_1^2$ + $ M_3X_1$ + $ M_9\phi_1q_2^2$ | 0.6918 | 0.8765 | 0.7893 | [X:[1.3353], M:[1.1676, 1.0838, 0.6647, 1.039, 0.7933, 1.0, 0.8324, 0.7486, 0.6705], q:[0.3967, 0.4357], qb:[0.5643, 0.771], phi:[0.4581]] | t^2.01 + t^2.25 + t^2.38 + t^2.5 + t^3. + t^3.12 + t^3.25 + t^3.5 + t^3.87 + t^4.01 + t^4.02 + 2*t^4.26 + t^4.37 + t^4.39 + t^4.49 + t^4.51 + t^4.63 + t^4.74 + 2*t^4.76 + t^4.88 + t^4.99 + t^5.01 + t^5.13 + t^5.25 + t^5.26 + t^5.36 + t^5.38 + 2*t^5.5 + t^5.51 + t^5.63 + 2*t^5.75 + t^5.88 - t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2348 | 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_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ \phi_1\tilde{q}_2^2$ | 0.6728 | 0.8419 | 0.7992 | [X:[], M:[1.1643, 1.0822, 0.6714, 1.0481, 0.7875, 1.0, 0.8357], q:[0.3938, 0.4419], qb:[0.5581, 0.7705], phi:[0.4589]] | t^2.01 + t^2.36 + t^2.51 + t^3. + t^3.14 + t^3.25 + t^3.49 + t^3.74 + t^3.88 + 2*t^4.03 + t^4.23 + 2*t^4.38 + t^4.52 + 2*t^4.73 + t^4.87 + 2*t^5.01 + t^5.16 + t^5.26 + t^5.36 + 2*t^5.51 + t^5.61 + 2*t^5.75 + t^5.9 - t^6. - t^4.38/y - t^4.38*y | detail |