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 |
|---|---|---|---|---|---|---|---|---|---|
| 2699 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6597 | 0.8322 | 0.7927 | [M:[1.2002, 0.7193, 0.7998, 1.1197, 0.8803, 1.1197, 0.7998], q:[0.4401, 0.3597], qb:[0.7601, 0.5206], phi:[0.4799]] | [M:[[10], [-34], [-10], [-14], [14], [-14], [-10]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{1}q_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$ | ${}$ | -3 | t^2.158 + 2*t^2.399 + t^2.879 + t^2.882 + 2*t^3.359 + t^3.598 + t^3.839 + 2*t^4.08 + t^4.316 + t^4.322 + 2*t^4.557 + t^4.563 + 3*t^4.799 + t^5.037 + t^5.04 + 2*t^5.279 + 2*t^5.282 + t^5.517 + t^5.755 + 3*t^5.759 + t^5.762 + t^5.765 + 3*t^5.997 - 3*t^6. + 5*t^6.238 - t^6.241 + t^6.474 + t^6.477 + 4*t^6.48 - t^6.483 + 2*t^6.715 + 2*t^6.718 + 2*t^6.721 + 4*t^6.957 + 3*t^6.963 + 2*t^7.195 + 4*t^7.198 - 2*t^7.201 + t^7.204 + 3*t^7.437 + 2*t^7.44 + t^7.446 + t^7.675 + 5*t^7.678 + t^7.681 - t^7.684 + t^7.913 + t^7.916 + 2*t^7.92 + 3*t^8.155 + t^8.158 + 4*t^8.161 + t^8.164 + 7*t^8.396 - 8*t^8.399 + t^8.402 + t^8.632 + t^8.635 + 8*t^8.638 - 4*t^8.641 + 3*t^8.644 + t^8.647 + 2*t^8.873 + 3*t^8.876 + 3*t^8.879 - 5*t^8.882 + t^8.885 - t^4.44/y - t^6.598/y - t^6.839/y + t^7.08/y - t^7.319/y + (2*t^7.557)/y + t^7.56/y + t^8.037/y + (2*t^8.04)/y + (2*t^8.279)/y + (3*t^8.282)/y + (2*t^8.517)/y + (4*t^8.759)/y + t^8.762/y + (2*t^8.997)/y - t^4.44*y - t^6.598*y - t^6.839*y + t^7.08*y - t^7.319*y + 2*t^7.557*y + t^7.56*y + t^8.037*y + 2*t^8.04*y + 2*t^8.279*y + 3*t^8.282*y + 2*t^8.517*y + 4*t^8.759*y + t^8.762*y + 2*t^8.997*y | t^2.158/g1^34 + (2*t^2.399)/g1^10 + t^2.879/g1^12 + g1^38*t^2.882 + (2*t^3.359)/g1^14 + t^3.598/g1^40 + t^3.839/g1^16 + 2*g1^8*t^4.08 + t^4.316/g1^68 + g1^32*t^4.322 + (2*t^4.557)/g1^44 + g1^56*t^4.563 + (3*t^4.799)/g1^20 + t^5.037/g1^46 + g1^4*t^5.04 + (2*t^5.279)/g1^22 + 2*g1^28*t^5.282 + t^5.517/g1^48 + t^5.755/g1^74 + (3*t^5.759)/g1^24 + g1^26*t^5.762 + g1^76*t^5.765 + (3*t^5.997)/g1^50 - 3*t^6. + (5*t^6.238)/g1^26 - g1^24*t^6.241 + t^6.474/g1^102 + t^6.477/g1^52 + (4*t^6.48)/g1^2 - g1^48*t^6.483 + (2*t^6.715)/g1^78 + (2*t^6.718)/g1^28 + 2*g1^22*t^6.721 + (4*t^6.957)/g1^54 + 3*g1^46*t^6.963 + (2*t^7.195)/g1^80 + (4*t^7.198)/g1^30 - 2*g1^20*t^7.201 + g1^70*t^7.204 + (3*t^7.437)/g1^56 + (2*t^7.44)/g1^6 + g1^94*t^7.446 + t^7.675/g1^82 + (5*t^7.678)/g1^32 + g1^18*t^7.681 - g1^68*t^7.684 + t^7.913/g1^108 + t^7.916/g1^58 + (2*t^7.92)/g1^8 + (3*t^8.155)/g1^84 + t^8.158/g1^34 + 4*g1^16*t^8.161 + g1^66*t^8.164 + (7*t^8.396)/g1^60 - (8*t^8.399)/g1^10 + g1^40*t^8.402 + t^8.632/g1^136 + t^8.635/g1^86 + (8*t^8.638)/g1^36 - 4*g1^14*t^8.641 + 3*g1^64*t^8.644 + g1^114*t^8.647 + (2*t^8.873)/g1^112 + (3*t^8.876)/g1^62 + (3*t^8.879)/g1^12 - 5*g1^38*t^8.882 + g1^88*t^8.885 - t^4.44/(g1^6*y) - t^6.598/(g1^40*y) - t^6.839/(g1^16*y) + (g1^8*t^7.08)/y - t^7.319/(g1^18*y) + (2*t^7.557)/(g1^44*y) + (g1^6*t^7.56)/y + t^8.037/(g1^46*y) + (2*g1^4*t^8.04)/y + (2*t^8.279)/(g1^22*y) + (3*g1^28*t^8.282)/y + (2*t^8.517)/(g1^48*y) + (4*t^8.759)/(g1^24*y) + (g1^26*t^8.762)/y + (2*t^8.997)/(g1^50*y) - (t^4.44*y)/g1^6 - (t^6.598*y)/g1^40 - (t^6.839*y)/g1^16 + g1^8*t^7.08*y - (t^7.319*y)/g1^18 + (2*t^7.557*y)/g1^44 + g1^6*t^7.56*y + (t^8.037*y)/g1^46 + 2*g1^4*t^8.04*y + (2*t^8.279*y)/g1^22 + 3*g1^28*t^8.282*y + (2*t^8.517*y)/g1^48 + (4*t^8.759*y)/g1^24 + g1^26*t^8.762*y + (2*t^8.997*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4881 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6579 | 0.8285 | 0.7941 | [M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 1.1351, 0.8108], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | t^2.27 + 2*t^2.432 + t^2.757 + t^2.919 + 2*t^3.405 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + 2*t^4.703 + 3*t^4.865 + t^5.027 + 3*t^5.189 + 2*t^5.351 + t^5.514 + 2*t^5.676 + 3*t^5.838 - 2*t^6. - t^4.459/y - t^4.459*y | detail | {a: 533217/810448, c: 335743/405224, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 42/37, M7: 30/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
| 4884 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ | 0.6798 | 0.8697 | 0.7816 | [M:[1.1987, 0.7243, 0.8013, 1.1218, 0.8782, 1.1218, 0.8013, 0.718], q:[0.4391, 0.3621], qb:[0.7596, 0.5161], phi:[0.4808]] | t^2.154 + t^2.173 + 2*t^2.404 + t^2.866 + t^2.885 + 2*t^3.365 + t^3.615 + 2*t^4.077 + 2*t^4.308 + t^4.327 + t^4.346 + t^4.539 + 2*t^4.558 + 2*t^4.577 + 3*t^4.808 + t^5.02 + 2*t^5.038 + t^5.057 + 2*t^5.269 + 2*t^5.288 + 2*t^5.519 + t^5.538 + t^5.731 + t^5.75 + 4*t^5.769 + t^5.788 - 3*t^6. - t^4.442/y - t^4.442*y | detail | |
| 4883 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.677 | 0.8625 | 0.7849 | [M:[1.1933, 0.7428, 0.8067, 1.1294, 0.8706, 1.1294, 0.8067, 0.7732], q:[0.4353, 0.3714], qb:[0.758, 0.4993], phi:[0.484]] | t^2.228 + t^2.32 + 2*t^2.42 + t^2.804 + t^2.904 + 2*t^3.388 + t^3.872 + 2*t^4.064 + t^4.256 + t^4.448 + t^4.457 + t^4.548 + t^4.639 + 2*t^4.648 + 2*t^4.74 + 3*t^4.84 + t^5.032 + t^5.123 + t^5.132 + 3*t^5.224 + 2*t^5.324 + t^5.607 + t^5.616 + 3*t^5.708 + 3*t^5.808 - 3*t^6. - t^4.452/y - t^4.452*y | detail | |
| 4882 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6581 | 0.8325 | 0.7906 | [M:[1.2105, 0.6842, 0.7895, 1.1053, 0.8947, 1.1053, 0.7895], q:[0.4474, 0.3421], qb:[0.7632, 0.5526], phi:[0.4737]] | t^2.053 + 2*t^2.368 + t^2.842 + t^3. + 2*t^3.316 + t^3.474 + t^3.789 + 3*t^4.105 + 3*t^4.421 + 4*t^4.737 + t^4.895 + t^5.053 + 2*t^5.211 + 3*t^5.368 + t^5.526 + 3*t^5.684 + 4*t^5.842 - 2*t^6. - t^4.421/y - t^4.421*y | detail | {a: 18057/27436, c: 91361/109744, M1: 23/19, M2: 13/19, M3: 15/19, M4: 21/19, M5: 17/19, M6: 21/19, M7: 15/19, q1: 17/38, q2: 13/38, qb1: 29/38, qb2: 21/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1567 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ | 0.71 | 0.8743 | 0.8121 | [M:[1.0587, 0.8481, 0.9413, 0.9655, 1.0345, 0.9655, 0.9413], q:[0.5172, 0.424], qb:[0.5415, 0.6105], phi:[0.4767]] | t^2.544 + 2*t^2.824 + t^2.86 + 2*t^2.897 + t^3.383 + t^3.974 + t^4.254 + t^4.327 + 2*t^4.534 + t^4.606 + t^4.679 + t^4.813 + t^4.886 + t^5.088 + t^5.093 + 2*t^5.368 + t^5.404 + t^5.441 + 2*t^5.648 + 2*t^5.684 + 3*t^5.72 + 2*t^5.757 + 2*t^5.793 - 4*t^6. - t^4.43/y - t^4.43*y | detail |