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 |
---|---|---|---|---|---|---|---|---|---|
47192 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.5838 | 0.7365 | 0.7926 | [M:[1.2777, 1.0186, 0.7223, 0.685, 0.9814], q:[0.3425, 0.3798], qb:[0.6389, 0.9352], phi:[0.4259]] | [M:[[-6], [14], [6], [-22], [-14]], q:[[-11], [17]], qb:[[-3], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.055 + t^2.167 + t^2.555 + t^2.944 + t^3.056 + t^3.333 + t^3.445 + t^3.556 + t^3.833 + t^4.11 + t^4.222 + t^4.334 + t^4.61 + 2*t^4.722 + t^4.999 + 3*t^5.111 + t^5.223 + t^5.388 + 2*t^5.5 + 2*t^5.611 + t^5.723 + 2*t^5.888 + t^6.112 + t^6.165 + 2*t^6.277 + 2*t^6.389 + t^6.5 + t^6.612 + 2*t^6.665 + 2*t^6.777 + t^6.889 + t^7.054 + t^7.113 + 3*t^7.166 + 2*t^7.278 + t^7.443 + 2*t^7.554 + 4*t^7.666 + t^7.778 + t^7.89 + 2*t^7.943 + t^8.055 + t^8.22 + t^8.279 + 2*t^8.332 + 3*t^8.444 + t^8.667 + 2*t^8.72 + t^8.779 + 3*t^8.832 - t^8.944 - t^4.278/y - t^6.333/y - t^6.833/y + t^7.222/y + t^7.61/y + (2*t^7.722)/y + t^7.999/y + (2*t^8.111)/y + (2*t^8.223)/y + (3*t^8.5)/y + (3*t^8.611)/y + t^8.723/y + t^8.888/y - t^4.278*y - t^6.333*y - t^6.833*y + t^7.222*y + t^7.61*y + 2*t^7.722*y + t^7.999*y + 2*t^8.111*y + 2*t^8.223*y + 3*t^8.5*y + 3*t^8.611*y + t^8.723*y + t^8.888*y | t^2.055/g1^22 + g1^6*t^2.167 + t^2.555/g1^4 + t^2.944/g1^14 + g1^14*t^3.056 + t^3.333/g1^24 + g1^4*t^3.445 + g1^32*t^3.556 + t^3.833/g1^6 + t^4.11/g1^44 + t^4.222/g1^16 + g1^12*t^4.334 + t^4.61/g1^26 + 2*g1^2*t^4.722 + t^4.999/g1^36 + (3*t^5.111)/g1^8 + g1^20*t^5.223 + t^5.388/g1^46 + (2*t^5.5)/g1^18 + 2*g1^10*t^5.611 + g1^38*t^5.723 + (2*t^5.888)/g1^28 + g1^28*t^6.112 + t^6.165/g1^66 + (2*t^6.277)/g1^38 + (2*t^6.389)/g1^10 + g1^18*t^6.5 + g1^46*t^6.612 + (2*t^6.665)/g1^48 + (2*t^6.777)/g1^20 + g1^8*t^6.889 + t^7.054/g1^58 + g1^64*t^7.113 + (3*t^7.166)/g1^30 + (2*t^7.278)/g1^2 + t^7.443/g1^68 + (2*t^7.554)/g1^40 + (4*t^7.666)/g1^12 + g1^16*t^7.778 + g1^44*t^7.89 + (2*t^7.943)/g1^50 + t^8.055/g1^22 + t^8.22/g1^88 + g1^34*t^8.279 + (2*t^8.332)/g1^60 + (3*t^8.444)/g1^32 + g1^24*t^8.667 + (2*t^8.72)/g1^70 + g1^52*t^8.779 + (3*t^8.832)/g1^42 - t^8.944/g1^14 - t^4.278/(g1^2*y) - t^6.333/(g1^24*y) - t^6.833/(g1^6*y) + t^7.222/(g1^16*y) + t^7.61/(g1^26*y) + (2*g1^2*t^7.722)/y + t^7.999/(g1^36*y) + (2*t^8.111)/(g1^8*y) + (2*g1^20*t^8.223)/y + (3*t^8.5)/(g1^18*y) + (3*g1^10*t^8.611)/y + (g1^38*t^8.723)/y + t^8.888/(g1^28*y) - (t^4.278*y)/g1^2 - (t^6.333*y)/g1^24 - (t^6.833*y)/g1^6 + (t^7.222*y)/g1^16 + (t^7.61*y)/g1^26 + 2*g1^2*t^7.722*y + (t^7.999*y)/g1^36 + (2*t^8.111*y)/g1^8 + 2*g1^20*t^8.223*y + (3*t^8.5*y)/g1^18 + 3*g1^10*t^8.611*y + g1^38*t^8.723*y + (t^8.888*y)/g1^28 |
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 |
---|---|---|---|---|---|---|---|---|
53323 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6038 | 0.7739 | 0.7802 | [M:[1.2786, 1.0166, 0.7214, 0.6882, 0.9834, 0.7214], q:[0.3441, 0.3773], qb:[0.6393, 0.9345], phi:[0.4262]] | t^2.065 + 2*t^2.164 + t^2.557 + t^2.95 + t^3.05 + t^3.343 + t^3.443 + t^3.542 + t^4.129 + 2*t^4.229 + 3*t^4.328 + t^4.622 + 3*t^4.721 + t^5.015 + 4*t^5.114 + 2*t^5.214 + t^5.408 + 3*t^5.507 + 3*t^5.607 + 2*t^5.707 + t^5.9 - t^6. - t^4.279/y - t^4.279*y | detail | |
50777 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.5724 | 0.7219 | 0.793 | [M:[1.3043, 0.9565, 0.6957, 0.7826, 1.0435], q:[0.3913, 0.3043], qb:[0.6522, 0.913], phi:[0.4348]] | t^2.087 + t^2.348 + t^2.609 + t^2.87 + 2*t^3.13 + t^3.391 + t^3.652 + t^3.913 + t^4.174 + t^4.435 + 3*t^4.696 + 2*t^4.957 + 4*t^5.217 + 3*t^5.478 + 3*t^5.739 + 2*t^6. - t^4.304/y - t^4.304*y | detail | {a: 4845/8464, c: 3055/4232, M1: 30/23, M2: 22/23, M3: 16/23, M4: 18/23, M5: 24/23, q1: 9/23, q2: 7/23, qb1: 15/23, qb2: 21/23, phi1: 10/23} |
52396 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.5968 | 0.7591 | 0.7862 | [M:[1.2762, 1.0223, 0.7238, 0.6793, 0.9777, 0.8508], q:[0.3396, 0.3842], qb:[0.6381, 0.9365], phi:[0.4254]] | t^2.038 + t^2.171 + 2*t^2.552 + t^2.933 + t^3.067 + t^3.314 + t^3.581 + t^3.829 + t^4.076 + t^4.209 + t^4.343 + 2*t^4.59 + 3*t^4.724 + t^4.971 + 5*t^5.105 + t^5.238 + t^5.352 + 2*t^5.486 + 2*t^5.619 + t^5.753 + 3*t^5.866 - t^6. - t^4.276/y - t^4.276*y | detail | |
55577 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.5953 | 0.7562 | 0.7872 | [M:[1.2871, 0.9968, 0.7129, 0.7194, 1.0032, 0.8516], q:[0.3597, 0.3532], qb:[0.6436, 0.9274], phi:[0.429]] | t^2.139 + t^2.158 + t^2.555 + t^2.574 + t^2.99 + t^3.01 + t^3.406 + t^3.426 + t^3.861 + t^4.277 + t^4.297 + t^4.316 + t^4.693 + 3*t^4.713 + t^4.732 + t^5.11 + 2*t^5.129 + 3*t^5.148 + t^5.168 + 2*t^5.545 + 3*t^5.564 + t^5.584 + t^5.961 + 2*t^5.981 - t^4.287/y - t^4.287*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46634 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6574 | 0.8268 | 0.7952 | [M:[1.1451, 0.7351, 0.8549, 0.7916, 0.6718], q:[0.3958, 0.4591], qb:[0.8691, 0.7492], phi:[0.3817]] | t^2.015 + t^2.205 + t^2.29 + t^2.375 + t^2.565 + t^3.435 + t^3.52 + t^3.71 + t^3.9 + t^4.031 + t^4.221 + t^4.305 + t^4.39 + t^4.411 + t^4.495 + 3*t^4.58 + t^4.665 + t^4.75 + t^4.77 + 2*t^4.855 + t^4.94 + t^5.13 + t^5.451 + t^5.535 + t^5.64 + 2*t^5.725 + t^5.81 + t^5.895 + t^5.915 - t^6. - t^4.145/y - t^4.145*y | detail |