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 |
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46683 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.5659 | 0.7271 | 0.7782 | [M:[0.855, 1.0074, 0.9926, 0.7027], q:[0.7936, 0.7788], qb:[0.2138, 0.5037], phi:[0.4275]] | [M:[[-4], [14], [-14], [-22]], q:[[15], [-13]], qb:[[-1], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.108 + t^2.152 + 3*t^2.565 + t^2.978 + t^3.022 + t^3.848 + t^4.216 + t^4.26 + 2*t^4.305 + 3*t^4.673 + 4*t^4.717 + t^5.086 + 7*t^5.13 + t^5.175 + 2*t^5.543 + 2*t^5.587 + 2*t^5.956 - 2*t^6. + t^6.044 + t^6.324 + t^6.368 + 2*t^6.413 + 3*t^6.781 + 4*t^6.825 + 3*t^6.87 + t^7.194 + 7*t^7.238 + 7*t^7.283 + t^7.327 + 2*t^7.651 + 11*t^7.695 + 2*t^8.064 + t^8.108 - t^8.152 + t^8.197 + t^8.432 + t^8.476 + 4*t^8.521 - 8*t^8.565 + 2*t^8.609 + 3*t^8.889 + 5*t^8.933 - t^8.978 - t^4.283/y - t^6.391/y - (2*t^6.848)/y + t^7.26/y + (3*t^7.673)/y + (5*t^7.717)/y + t^8.086/y + (5*t^8.13)/y + (2*t^8.175)/y - t^8.498/y + (3*t^8.543)/y + (3*t^8.587)/y - t^8.956/y - t^4.283*y - t^6.391*y - 2*t^6.848*y + t^7.26*y + 3*t^7.673*y + 5*t^7.717*y + t^8.086*y + 5*t^8.13*y + 2*t^8.175*y - t^8.498*y + 3*t^8.543*y + 3*t^8.587*y - t^8.956*y | t^2.108/g1^22 + g1^6*t^2.152 + (3*t^2.565)/g1^4 + t^2.978/g1^14 + g1^14*t^3.022 + t^3.848/g1^6 + t^4.216/g1^44 + t^4.26/g1^16 + 2*g1^12*t^4.305 + (3*t^4.673)/g1^26 + 4*g1^2*t^4.717 + t^5.086/g1^36 + (7*t^5.13)/g1^8 + g1^20*t^5.175 + (2*t^5.543)/g1^18 + 2*g1^10*t^5.587 + (2*t^5.956)/g1^28 - 2*t^6. + g1^28*t^6.044 + t^6.324/g1^66 + t^6.368/g1^38 + (2*t^6.413)/g1^10 + (3*t^6.781)/g1^48 + (4*t^6.825)/g1^20 + 3*g1^8*t^6.87 + t^7.194/g1^58 + (7*t^7.238)/g1^30 + (7*t^7.283)/g1^2 + g1^26*t^7.327 + (2*t^7.651)/g1^40 + (11*t^7.695)/g1^12 + (2*t^8.064)/g1^50 + t^8.108/g1^22 - g1^6*t^8.152 + g1^34*t^8.197 + t^8.432/g1^88 + t^8.476/g1^60 + (4*t^8.521)/g1^32 - (8*t^8.565)/g1^4 + 2*g1^24*t^8.609 + (3*t^8.889)/g1^70 + (5*t^8.933)/g1^42 - t^8.978/g1^14 - t^4.283/(g1^2*y) - t^6.391/(g1^24*y) - (2*t^6.848)/(g1^6*y) + t^7.26/(g1^16*y) + (3*t^7.673)/(g1^26*y) + (5*g1^2*t^7.717)/y + t^8.086/(g1^36*y) + (5*t^8.13)/(g1^8*y) + (2*g1^20*t^8.175)/y - t^8.498/(g1^46*y) + (3*t^8.543)/(g1^18*y) + (3*g1^10*t^8.587)/y - t^8.956/(g1^28*y) - (t^4.283*y)/g1^2 - (t^6.391*y)/g1^24 - (2*t^6.848*y)/g1^6 + (t^7.26*y)/g1^16 + (3*t^7.673*y)/g1^26 + 5*g1^2*t^7.717*y + (t^8.086*y)/g1^36 + (5*t^8.13*y)/g1^8 + 2*g1^20*t^8.175*y - (t^8.498*y)/g1^46 + (3*t^8.543*y)/g1^18 + 3*g1^10*t^8.587*y - (t^8.956*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 |
---|---|---|---|---|---|---|---|---|
47028 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.586 | 0.7648 | 0.7663 | [M:[0.856, 1.0039, 0.9961, 0.7081, 0.716], q:[0.7899, 0.7821], qb:[0.214, 0.502], phi:[0.428]] | t^2.124 + 2*t^2.148 + 3*t^2.568 + t^2.988 + t^3.012 + t^4.249 + 2*t^4.272 + 4*t^4.296 + 3*t^4.692 + 7*t^4.716 + t^5.112 + 8*t^5.136 + 2*t^5.16 + 2*t^5.556 + 2*t^5.58 + t^5.976 - 3*t^6. - t^4.284/y - t^4.284*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 |
---|---|---|---|---|---|---|---|---|---|
46265 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.5456 | 0.6887 | 0.7923 | [M:[0.8594, 0.9921, 1.0079], q:[0.7773, 0.793], qb:[0.2148, 0.4961], phi:[0.4297]] | t^2.133 + 3*t^2.578 + t^2.976 + t^3.024 + t^3.82 + t^3.867 + 2*t^4.265 + 4*t^4.711 + t^5.109 + 6*t^5.156 + 2*t^5.555 + 2*t^5.602 + 2*t^5.953 - 2*t^6. - t^4.289/y - t^4.289*y | detail |