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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4720 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6543 | 0.8101 | 0.8076 | [M:[1.0367, 0.8397, 1.0618, 0.8147, 1.1853, 1.1603, 0.8147, 0.9382], q:[0.5434, 0.4199], qb:[0.3948, 0.7654], phi:[0.4691]] | [M:[[-30], [22], [4], [-12], [12], [-22], [-12], [-4]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -3 | 2*t^2.444 + 2*t^2.815 + t^3.11 + t^3.481 + t^3.776 + t^3.851 + 2*t^3.927 + t^4.222 + t^4.297 + t^4.668 + 3*t^4.888 + 4*t^5.259 + t^5.554 + 2*t^5.629 + 3*t^5.925 - 3*t^6. - t^6.075 + 3*t^6.22 + 3*t^6.295 + t^6.371 - t^6.446 + 3*t^6.591 + 2*t^6.666 + 4*t^6.741 + t^6.886 + t^7.037 + t^7.112 + t^7.257 + 4*t^7.332 - t^7.407 + t^7.552 + t^7.628 + 8*t^7.703 + t^7.778 + 2*t^7.998 + 4*t^8.073 + t^8.149 + t^8.224 + 3*t^8.369 - 3*t^8.444 - 2*t^8.519 + 2*t^8.594 + 4*t^8.664 + 6*t^8.739 - 6*t^8.815 - 3*t^8.89 + t^8.965 - t^4.407/y - t^6.851/y - t^7.222/y + t^7.297/y - t^7.517/y + t^7.593/y + t^7.888/y + t^7.963/y + (4*t^8.259)/y + (2*t^8.554)/y + t^8.629/y + (4*t^8.925)/y - t^4.407*y - t^6.851*y - t^7.222*y + t^7.297*y - t^7.517*y + t^7.593*y + t^7.888*y + t^7.963*y + 4*t^8.259*y + 2*t^8.554*y + t^8.629*y + 4*t^8.925*y | (2*t^2.444)/g1^12 + (2*t^2.815)/g1^4 + t^3.11/g1^30 + t^3.481/g1^22 + t^3.776/g1^48 + t^3.851/g1^14 + 2*g1^20*t^3.927 + t^4.222/g1^6 + g1^28*t^4.297 + g1^36*t^4.668 + (3*t^4.888)/g1^24 + (4*t^5.259)/g1^16 + t^5.554/g1^42 + (2*t^5.629)/g1^8 + (3*t^5.925)/g1^34 - 3*t^6. - g1^34*t^6.075 + (3*t^6.22)/g1^60 + (3*t^6.295)/g1^26 + g1^8*t^6.371 - g1^42*t^6.446 + (3*t^6.591)/g1^52 + (2*t^6.666)/g1^18 + 4*g1^16*t^6.741 + t^6.886/g1^78 + t^7.037/g1^10 + g1^24*t^7.112 + t^7.257/g1^70 + (4*t^7.332)/g1^36 - t^7.407/g1^2 + t^7.552/g1^96 + t^7.628/g1^62 + (8*t^7.703)/g1^28 + g1^6*t^7.778 + (2*t^7.998)/g1^54 + (4*t^8.073)/g1^20 + g1^14*t^8.149 + g1^48*t^8.224 + (3*t^8.369)/g1^46 - (3*t^8.444)/g1^12 - 2*g1^22*t^8.519 + 2*g1^56*t^8.594 + (4*t^8.664)/g1^72 + (6*t^8.739)/g1^38 - (6*t^8.815)/g1^4 - 3*g1^30*t^8.89 + g1^64*t^8.965 - t^4.407/(g1^2*y) - t^6.851/(g1^14*y) - t^7.222/(g1^6*y) + (g1^28*t^7.297)/y - t^7.517/(g1^32*y) + (g1^2*t^7.593)/y + t^7.888/(g1^24*y) + (g1^10*t^7.963)/y + (4*t^8.259)/(g1^16*y) + (2*t^8.554)/(g1^42*y) + t^8.629/(g1^8*y) + (4*t^8.925)/(g1^34*y) - (t^4.407*y)/g1^2 - (t^6.851*y)/g1^14 - (t^7.222*y)/g1^6 + g1^28*t^7.297*y - (t^7.517*y)/g1^32 + g1^2*t^7.593*y + (t^7.888*y)/g1^24 + g1^10*t^7.963*y + (4*t^8.259*y)/g1^16 + (2*t^8.554*y)/g1^42 + (t^8.629*y)/g1^8 + (4*t^8.925*y)/g1^34 |
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 |
---|---|---|---|---|---|---|---|---|
6293 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6745 | 0.8479 | 0.7955 | [M:[1.0422, 0.8357, 1.061, 0.8169, 1.1831, 1.1643, 0.8169, 0.939, 0.7136], q:[0.5399, 0.4179], qb:[0.399, 0.7653], phi:[0.4695]] | t^2.141 + 2*t^2.451 + 2*t^2.817 + t^3.127 + t^3.493 + t^3.803 + 2*t^3.916 + t^4.225 + 2*t^4.282 + 2*t^4.592 + t^4.648 + 3*t^4.901 + 2*t^4.958 + 5*t^5.268 + t^5.577 + 3*t^5.634 + 4*t^5.944 - 3*t^6. - t^4.408/y - t^4.408*y | detail | |
6292 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6742 | 0.8469 | 0.7961 | [M:[1.0551, 0.8263, 1.0593, 0.822, 1.178, 1.1737, 0.822, 0.9407, 0.7118], q:[0.5318, 0.4131], qb:[0.4089, 0.7648], phi:[0.4703]] | t^2.136 + 2*t^2.466 + 2*t^2.822 + t^3.165 + t^3.521 + t^3.877 + 2*t^3.89 + t^4.233 + t^4.246 + t^4.271 + 3*t^4.602 + 3*t^4.932 + 2*t^4.958 + 4*t^5.288 + t^5.301 + t^5.631 + 2*t^5.644 + t^5.657 + 3*t^5.987 - 3*t^6. - t^4.411/y - t^4.411*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 |
---|---|---|---|---|---|---|---|---|---|
2623 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6486 | 0.8003 | 0.8105 | [M:[1.0425, 0.8355, 1.061, 0.817, 1.183, 1.1645, 0.817], q:[0.5397, 0.4177], qb:[0.3993, 0.7652], phi:[0.4695]] | 2*t^2.451 + t^2.817 + t^3.128 + t^3.183 + t^3.494 + t^3.804 + t^3.86 + 2*t^3.915 + t^4.226 + t^4.281 + t^4.647 + 3*t^4.902 + 2*t^5.268 + t^5.579 + 2*t^5.634 + 2*t^5.945 - 2*t^6. - t^4.409/y - t^4.409*y | detail |