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 |
|---|---|---|---|---|---|---|---|---|---|
| 48164 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6874 | 0.8556 | 0.8034 | [X:[], M:[1.0083, 0.9432, 1.1219, 0.6829, 0.7479], q:[0.5852, 0.4065], qb:[0.4716, 0.7805], phi:[0.439]] | [X:[], M:[[-32], [-22], [12], [18], [8]], q:[[33], [-1]], qb:[[-11], [3]], phi:[[-6]]] | {a: 570746539/830269488, c: 355196641/415134744, M1: 12580/12477, M2: 11768/12477, M3: 4666/4159, M4: 2840/4159, M5: 9332/12477, q1: 2434/4159, q2: 5072/12477, qb1: 5884/12477, qb2: 3246/4159, phi1: 1826/4159} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1^2$, $ \phi_1q_1^2$, $ M_2M_4$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_2M_5$, $ M_1M_5$, $ \phi_1^4$, $ M_3M_4$, $ M_3M_5$, $ M_4q_2\tilde{q}_2$, $ M_2^2$, $ M_1\phi_1^2$, $ M_5q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1M_2$ | . | 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^6.05 + 2*t^6.15 + t^6.2 + 2*t^6.34 + 3*t^6.39 + 2*t^6.54 + t^6.59 + 3*t^6.73 + t^6.78 + t^6.88 + 3*t^6.93 + t^7.07 + 4*t^7.12 + t^7.17 + 3*t^7.32 + 2*t^7.46 + 2*t^7.51 + 3*t^7.66 + t^7.71 + 3*t^7.85 + 3*t^7.9 - t^8.05 + 2*t^8.1 + 3*t^8.19 - t^8.24 + 2*t^8.29 + 3*t^8.39 + t^8.44 + t^8.49 + 3*t^8.58 + 2*t^8.63 + t^8.68 + 2*t^8.78 - 2*t^8.83 + t^8.88 + 2*t^8.93 + 5*t^8.98 - t^4.32/y - t^6.37/y - t^6.56/y - t^7.15/y + (2*t^7.29)/y - t^7.34/y + t^7.49/y + t^7.68/y + (2*t^7.88)/y + (3*t^8.07)/y + (2*t^8.27)/y + t^8.46/y + t^8.61/y + t^8.66/y + t^8.8/y + t^8.85/y - t^4.32*y - t^6.37*y - t^6.56*y - t^7.15*y + 2*t^7.29*y - t^7.34*y + t^7.49*y + t^7.68*y + 2*t^7.88*y + 3*t^8.07*y + 2*t^8.27*y + t^8.46*y + t^8.61*y + t^8.66*y + t^8.8*y + t^8.85*y | g1^18*t^2.05 + g1^8*t^2.24 + t^2.63/g1^12 + t^2.83/g1^22 + t^3.02/g1^32 + g1^12*t^3.37 + g1^2*t^3.56 + t^3.76/g1^8 + 2*g1^36*t^4.1 + t^4.15/g1^28 + 2*g1^26*t^4.29 + 2*g1^16*t^4.49 + g1^6*t^4.68 + g1^60*t^4.83 + (2*t^4.88)/g1^4 + (2*t^5.07)/g1^14 + (2*t^5.27)/g1^24 + g1^30*t^5.41 + 2*g1^20*t^5.61 + t^5.66/g1^44 + g1^10*t^5.8 + t^5.85/g1^54 - t^6. + t^6.05/g1^64 + 2*g1^54*t^6.15 + t^6.2/g1^10 + 2*g1^44*t^6.34 + (3*t^6.39)/g1^20 + 2*g1^34*t^6.54 + t^6.59/g1^30 + 3*g1^24*t^6.73 + t^6.78/g1^40 + g1^78*t^6.88 + 3*g1^14*t^6.93 + g1^68*t^7.07 + 4*g1^4*t^7.12 + t^7.17/g1^60 + (3*t^7.32)/g1^6 + 2*g1^48*t^7.46 + (2*t^7.51)/g1^16 + 3*g1^38*t^7.66 + t^7.71/g1^26 + 3*g1^28*t^7.85 + (3*t^7.9)/g1^36 - g1^18*t^8.05 + (2*t^8.1)/g1^46 + 3*g1^72*t^8.19 - g1^8*t^8.24 + (2*t^8.29)/g1^56 + 3*g1^62*t^8.39 + t^8.44/g1^2 + t^8.49/g1^66 + 3*g1^52*t^8.58 + (2*t^8.63)/g1^12 + t^8.68/g1^76 + 2*g1^42*t^8.78 - (2*t^8.83)/g1^22 + t^8.88/g1^86 + 2*g1^96*t^8.93 + 5*g1^32*t^8.98 - t^4.32/(g1^6*y) - (g1^12*t^6.37)/y - (g1^2*t^6.56)/y - t^7.15/(g1^28*y) + (2*g1^26*t^7.29)/y - t^7.34/(g1^38*y) + (g1^16*t^7.49)/y + (g1^6*t^7.68)/y + (2*t^7.88)/(g1^4*y) + (3*t^8.07)/(g1^14*y) + (2*t^8.27)/(g1^24*y) + t^8.46/(g1^34*y) + (g1^20*t^8.61)/y + t^8.66/(g1^44*y) + (g1^10*t^8.8)/y + t^8.85/(g1^54*y) - (t^4.32*y)/g1^6 - g1^12*t^6.37*y - g1^2*t^6.56*y - (t^7.15*y)/g1^28 + 2*g1^26*t^7.29*y - (t^7.34*y)/g1^38 + g1^16*t^7.49*y + g1^6*t^7.68*y + (2*t^7.88*y)/g1^4 + (3*t^8.07*y)/g1^14 + (2*t^8.27*y)/g1^24 + (t^8.46*y)/g1^34 + g1^20*t^8.61*y + (t^8.66*y)/g1^44 + g1^10*t^8.8*y + (t^8.85*y)/g1^54 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55909 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_5M_6$ | 0.6683 | 0.8207 | 0.8143 | [X:[], M:[1.0032, 0.9397, 1.1238, 0.6857, 0.7492, 1.2508], q:[0.5905, 0.4063], qb:[0.4698, 0.781], phi:[0.4381]] | 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^4.31/y - t^4.31*y | detail | {a: 29473/44100, c: 36193/44100, M1: 316/315, M2: 296/315, M3: 118/105, M4: 24/35, M5: 236/315, M6: 394/315, q1: 62/105, q2: 128/315, qb1: 148/315, qb2: 82/105, phi1: 46/105} |
| 55910 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_2$ | 0.7031 | 0.883 | 0.7963 | [X:[], M:[1.0063, 0.9418, 1.1227, 0.684, 0.7484, 0.8129], q:[0.5873, 0.4064], qb:[0.4709, 0.7807], phi:[0.4387]] | t^2.05 + t^2.25 + t^2.44 + t^2.63 + t^2.83 + t^3.02 + t^3.37 + t^3.75 + 2*t^4.1 + t^4.14 + 2*t^4.3 + 3*t^4.49 + 2*t^4.68 + t^4.84 + 3*t^4.88 + 3*t^5.07 + 3*t^5.26 + t^5.42 + t^5.46 + t^5.61 + t^5.65 + t^5.81 + t^5.84 - t^6. - t^4.32/y - t^4.32*y | detail | {a: 2701375/3841992, c: 424037/480249, M1: 2092/2079, M2: 178/189, M3: 778/693, M4: 158/231, M5: 1556/2079, M6: 1690/2079, q1: 37/63, q2: 845/2079, qb1: 89/189, qb2: 541/693, phi1: 304/693} |
| 55912 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.7066 | 0.8907 | 0.7932 | [X:[], M:[1.0132, 0.9466, 1.1201, 0.6801, 0.7467, 0.7467], q:[0.5802, 0.4067], qb:[0.4733, 0.78], phi:[0.44]] | t^2.04 + 2*t^2.24 + t^2.64 + t^2.84 + t^3.04 + t^3.36 + t^3.56 + 2*t^4.08 + t^4.16 + 3*t^4.28 + 4*t^4.48 + t^4.68 + t^4.8 + 3*t^4.88 + 3*t^5.08 + 3*t^5.28 + t^5.4 + 3*t^5.6 + t^5.68 + t^5.8 + t^5.88 - 2*t^6. - t^4.32/y - t^4.32*y | detail | {a: 302420677/428009496, c: 95310743/107002374, M1: 12836/12669, M2: 11992/12669, M3: 4730/4223, M4: 2872/4223, M5: 9460/12669, M6: 9460/12669, q1: 2450/4223, q2: 5152/12669, qb1: 5996/12669, qb2: 3294/4223, phi1: 1858/4223} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46367 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ | 0.6912 | 0.864 | 0.8 | [X:[], M:[0.9777, 0.9825, 1.1199, 0.6799, 0.6751], q:[0.5799, 0.4425], qb:[0.4376, 0.78], phi:[0.44]] | t^2.03 + t^2.04 + t^2.64 + t^2.93 + t^2.95 + t^3.36 + t^3.65 + t^3.67 + t^3.95 + t^4.05 + t^4.06 + 2*t^4.08 + t^4.37 + t^4.39 + t^4.67 + t^4.68 + t^4.8 + t^4.96 + 2*t^4.97 + t^4.99 + t^5.28 + t^5.39 + t^5.4 + t^5.68 + 2*t^5.69 + t^5.71 + t^5.87 + t^5.88 + t^5.9 + t^5.97 - 2*t^6. - t^4.32/y - t^4.32*y | detail |