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 |
|---|---|---|---|---|---|---|---|---|---|
| 1088 | 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_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_5M_6$ | 0.6683 | 0.8207 | 0.8143 | [X:[], M:[1.0032, 1.1238, 0.9397, 0.6857, 0.7492, 1.2508], q:[0.781, 0.4063], qb:[0.5905, 0.4698], phi:[0.4381]] | [X:[], M:[[32], [-12], [22], [-18], [-8], [8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 | {a: 29473/44100, c: 36193/44100, M1: 316/315, M2: 118/105, M3: 296/315, M4: 24/35, M5: 236/315, M6: 394/315, q1: 82/105, q2: 128/315, qb1: 62/105, qb2: 148/315, phi1: 46/105} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ q_1q_2$, $ M_6$, $ q_1\tilde{q}_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_1M_4$, $ \phi_1^4$, $ M_2M_4$, $ M_4q_1q_2$, $ M_3^2$, $ M_1\phi_1^2$, $ M_4M_6$, $ M_4q_1\tilde{q}_2$, $ M_1M_3$ | . | -2 | t^2.06 + t^2.63 + t^2.82 + t^3.01 + t^3.37 + t^3.56 + 2*t^3.75 + 2*t^4.11 + t^4.13 + t^4.3 + t^4.5 + t^4.69 + t^4.86 + t^4.88 + t^5.07 + t^5.26 + t^5.43 + t^5.62 + t^5.64 + t^5.81 + t^5.83 - 2*t^6. + t^6.02 + 2*t^6.17 + t^6.19 + 3*t^6.38 + 2*t^6.57 + t^6.74 + 2*t^6.76 + t^6.91 + 2*t^6.93 + 3*t^7.12 + t^7.14 + 2*t^7.31 + 2*t^7.49 + 2*t^7.5 + 2*t^7.68 + t^7.7 + 3*t^7.87 + 3*t^7.89 - t^8.06 + t^8.08 + 3*t^8.23 + t^8.25 + t^8.27 + t^8.42 + t^8.44 + t^8.46 + 2*t^8.61 + t^8.65 - 2*t^8.82 + t^8.84 + 2*t^8.97 + 2*t^8.99 - t^4.31/y - t^6.37/y - t^7.13/y + t^7.3/y - t^7.32/y + t^7.5/y + t^7.69/y + t^7.88/y + t^8.07/y + t^8.26/y + t^8.45/y + t^8.62/y + t^8.64/y + (2*t^8.81)/y + t^8.83/y - t^4.31*y - t^6.37*y - t^7.13*y + t^7.3*y - t^7.32*y + t^7.5*y + t^7.69*y + t^7.88*y + t^8.07*y + t^8.26*y + t^8.45*y + t^8.62*y + t^8.64*y + 2*t^8.81*y + t^8.83*y | t^2.06/g1^18 + g1^12*t^2.63 + g1^22*t^2.82 + g1^32*t^3.01 + t^3.37/g1^12 + t^3.56/g1^2 + 2*g1^8*t^3.75 + (2*t^4.11)/g1^36 + g1^28*t^4.13 + t^4.3/g1^26 + t^4.5/g1^16 + t^4.69/g1^6 + t^4.86/g1^60 + g1^4*t^4.88 + g1^14*t^5.07 + g1^24*t^5.26 + t^5.43/g1^30 + t^5.62/g1^20 + g1^44*t^5.64 + t^5.81/g1^10 + g1^54*t^5.83 - 2*t^6. + g1^64*t^6.02 + (2*t^6.17)/g1^54 + g1^10*t^6.19 + 3*g1^20*t^6.38 + 2*g1^30*t^6.57 + t^6.74/g1^24 + 2*g1^40*t^6.76 + t^6.91/g1^78 + (2*t^6.93)/g1^14 + (3*t^7.12)/g1^4 + g1^60*t^7.14 + 2*g1^6*t^7.31 + (2*t^7.49)/g1^48 + 2*g1^16*t^7.5 + (2*t^7.68)/g1^38 + g1^26*t^7.7 + (3*t^7.87)/g1^28 + 3*g1^36*t^7.89 - t^8.06/g1^18 + g1^46*t^8.08 + (3*t^8.23)/g1^72 + t^8.25/g1^8 + g1^56*t^8.27 + t^8.42/g1^62 + g1^2*t^8.44 + g1^66*t^8.46 + (2*t^8.61)/g1^52 + g1^76*t^8.65 - 2*g1^22*t^8.82 + g1^86*t^8.84 + (2*t^8.97)/g1^96 + (2*t^8.99)/g1^32 - (g1^6*t^4.31)/y - t^6.37/(g1^12*y) - (g1^28*t^7.13)/y + t^7.3/(g1^26*y) - (g1^38*t^7.32)/y + t^7.5/(g1^16*y) + t^7.69/(g1^6*y) + (g1^4*t^7.88)/y + (g1^14*t^8.07)/y + (g1^24*t^8.26)/y + (g1^34*t^8.45)/y + t^8.62/(g1^20*y) + (g1^44*t^8.64)/y + (2*t^8.81)/(g1^10*y) + (g1^54*t^8.83)/y - g1^6*t^4.31*y - (t^6.37*y)/g1^12 - g1^28*t^7.13*y + (t^7.3*y)/g1^26 - g1^38*t^7.32*y + (t^7.5*y)/g1^16 + (t^7.69*y)/g1^6 + g1^4*t^7.88*y + g1^14*t^8.07*y + g1^24*t^8.26*y + g1^34*t^8.45*y + (t^8.62*y)/g1^20 + g1^44*t^8.64*y + (2*t^8.81*y)/g1^10 + g1^54*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 1690 | $\phi_1q_1^2$ + $ 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_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7q_1q_2$ | 0.684 | 0.8481 | 0.8065 | [X:[], M:[1.0011, 1.1246, 0.9383, 0.6869, 0.7497, 1.2503, 0.8126], q:[0.7811, 0.4063], qb:[0.5926, 0.4691], phi:[0.4377]] | t^2.06 + t^2.44 + t^2.63 + t^2.81 + t^3. + t^3.37 + 2*t^3.75 + 2*t^4.12 + t^4.13 + t^4.31 + 2*t^4.5 + t^4.69 + t^4.87 + 2*t^4.88 + 2*t^5.06 + 2*t^5.25 + t^5.43 + t^5.44 + t^5.63 + 2*t^5.81 + t^5.82 - 2*t^6. - t^4.31/y - t^4.31*y | detail | {a: 137580491/201130032, c: 85290089/100565016, M1: 6148/6141, M2: 2302/2047, M3: 5762/6141, M4: 1406/2047, M5: 4604/6141, M6: 7678/6141, M7: 4990/6141, q1: 1599/2047, q2: 2495/6141, qb1: 1213/2047, qb2: 2881/6141, phi1: 896/2047} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 677 | 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_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.6874 | 0.8556 | 0.8034 | [X:[], M:[1.0083, 1.1219, 0.9432, 0.6829, 0.7479], q:[0.7805, 0.4065], qb:[0.5852, 0.4716], phi:[0.439]] | t^2.05 + t^2.24 + t^2.63 + t^2.83 + t^3.02 + t^3.37 + t^3.56 + t^3.76 + 2*t^4.1 + t^4.15 + 2*t^4.29 + 2*t^4.49 + t^4.68 + t^4.83 + 2*t^4.88 + 2*t^5.07 + 2*t^5.27 + t^5.41 + 2*t^5.61 + t^5.66 + t^5.8 + t^5.85 - t^6. - t^4.32/y - t^4.32*y | detail | {a: 570746539/830269488, c: 355196641/415134744, M1: 12580/12477, M2: 4666/4159, M3: 11768/12477, M4: 2840/4159, M5: 9332/12477, q1: 3246/4159, q2: 5072/12477, qb1: 2434/4159, qb2: 5884/12477, phi1: 1826/4159} |