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 |
|---|---|---|---|---|---|---|---|---|---|
| 56063 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6597 | 0.8322 | 0.7927 | [M:[0.8803, 1.2002, 1.1197, 0.7193, 0.7998, 0.7998, 1.1197], q:[0.3597, 0.7601], qb:[0.4401, 0.5206], phi:[0.4799]] | [M:[[14], [10], [-14], [-34], [-10], [-10], [-14]], q:[[-17], [3]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -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 |
|---|---|---|---|---|---|---|---|---|
| 58239 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.677 | 0.8625 | 0.7849 | [M:[0.8706, 1.1933, 1.1294, 0.7428, 0.8067, 0.8067, 1.1294, 0.7732], q:[0.3714, 0.758], qb:[0.4353, 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 | |
| 58238 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6582 | 0.8333 | 0.7898 | [M:[0.8974, 1.2124, 1.1026, 0.6777, 0.7876, 0.7876, 1.1026, 0.9927], q:[0.3388, 0.7637], qb:[0.4487, 0.5586], phi:[0.4725]] | t^2.033 + 2*t^2.363 + t^2.835 + t^2.978 + 2*t^3.308 + t^3.451 + t^3.78 + t^4.066 + 2*t^4.11 + 2*t^4.396 + t^4.439 + 3*t^4.725 + t^4.769 + t^4.868 + t^5.011 + 2*t^5.198 + 3*t^5.341 + t^5.484 + 3*t^5.67 + 4*t^5.813 + t^5.956 - 3*t^6. - t^4.418/y - t^4.418*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 |
|---|---|---|---|---|---|---|---|---|---|
| 50910 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6707 | 0.8503 | 0.7887 | [M:[0.8749, 1.1963, 1.1251, 0.7324, 0.8037, 0.8037], q:[0.3662, 0.7589], qb:[0.4374, 0.5087], phi:[0.4822]] | t^2.197 + 2*t^2.411 + t^2.625 + t^2.838 + t^2.893 + t^3.375 + t^3.644 + t^3.858 + 2*t^4.071 + t^4.285 + t^4.395 + t^4.499 + 2*t^4.608 + 4*t^4.822 + 3*t^5.036 + t^5.09 + 3*t^5.249 + 2*t^5.304 + t^5.463 + t^5.518 + t^5.677 + t^5.731 + t^5.786 + t^5.841 - 2*t^6. - t^4.447/y - t^4.447*y | detail |