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 |
---|---|---|---|---|---|---|---|---|---|
4584 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7047 | 0.8728 | 0.8074 | [M:[1.0165, 0.9505, 1.0495, 0.9175, 1.0825, 0.9505, 0.9175, 0.8845], q:[0.5082, 0.4753], qb:[0.4423, 0.6072], phi:[0.4918]] | [M:[[2], [-6], [6], [-10], [10], [-6], [-10], [-14]], q:[[1], [-3]], qb:[[-7], [13]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$ | ${}$ | -3 | t^2.654 + 2*t^2.753 + 2*t^2.852 + t^2.951 + t^3.049 + t^4.129 + t^4.228 + 2*t^4.327 + t^4.426 + t^4.525 + t^4.624 + t^4.723 + t^4.822 + t^5.119 + t^5.307 + 2*t^5.406 + 4*t^5.505 + 4*t^5.604 + 5*t^5.703 + 3*t^5.802 + t^5.901 - 3*t^6. - 2*t^6.099 - t^6.198 - t^6.297 - t^6.396 - t^6.495 + t^6.783 + 3*t^6.881 + 5*t^6.98 + 6*t^7.079 + 6*t^7.178 + 5*t^7.277 + 3*t^7.376 + t^7.475 + t^7.961 + 2*t^8.06 + 4*t^8.159 + 7*t^8.258 + 9*t^8.357 + 10*t^8.456 + 8*t^8.555 + 2*t^8.654 - 4*t^8.753 - 8*t^8.852 - 7*t^8.951 - t^4.475/y - t^7.129/y - t^7.228/y - t^7.327/y + t^7.624/y + t^7.723/y + t^7.822/y + (2*t^8.406)/y + (3*t^8.505)/y + (5*t^8.604)/y + (4*t^8.703)/y + (4*t^8.802)/y + (2*t^8.901)/y - t^4.475*y - t^7.129*y - t^7.228*y - t^7.327*y + t^7.624*y + t^7.723*y + t^7.822*y + 2*t^8.406*y + 3*t^8.505*y + 5*t^8.604*y + 4*t^8.703*y + 4*t^8.802*y + 2*t^8.901*y | t^2.654/g1^14 + (2*t^2.753)/g1^10 + (2*t^2.852)/g1^6 + t^2.951/g1^2 + g1^2*t^3.049 + t^4.129/g1^15 + t^4.228/g1^11 + (2*t^4.327)/g1^7 + t^4.426/g1^3 + g1*t^4.525 + g1^5*t^4.624 + g1^9*t^4.723 + g1^13*t^4.822 + g1^25*t^5.119 + t^5.307/g1^28 + (2*t^5.406)/g1^24 + (4*t^5.505)/g1^20 + (4*t^5.604)/g1^16 + (5*t^5.703)/g1^12 + (3*t^5.802)/g1^8 + t^5.901/g1^4 - 3*t^6. - 2*g1^4*t^6.099 - g1^8*t^6.198 - g1^12*t^6.297 - g1^16*t^6.396 - g1^20*t^6.495 + t^6.783/g1^29 + (3*t^6.881)/g1^25 + (5*t^6.98)/g1^21 + (6*t^7.079)/g1^17 + (6*t^7.178)/g1^13 + (5*t^7.277)/g1^9 + (3*t^7.376)/g1^5 + t^7.475/g1 + t^7.961/g1^42 + (2*t^8.06)/g1^38 + (4*t^8.159)/g1^34 + (7*t^8.258)/g1^30 + (9*t^8.357)/g1^26 + (10*t^8.456)/g1^22 + (8*t^8.555)/g1^18 + (2*t^8.654)/g1^14 - (4*t^8.753)/g1^10 - (8*t^8.852)/g1^6 - (7*t^8.951)/g1^2 - t^4.475/(g1*y) - t^7.129/(g1^15*y) - t^7.228/(g1^11*y) - t^7.327/(g1^7*y) + (g1^5*t^7.624)/y + (g1^9*t^7.723)/y + (g1^13*t^7.822)/y + (2*t^8.406)/(g1^24*y) + (3*t^8.505)/(g1^20*y) + (5*t^8.604)/(g1^16*y) + (4*t^8.703)/(g1^12*y) + (4*t^8.802)/(g1^8*y) + (2*t^8.901)/(g1^4*y) - (t^4.475*y)/g1 - (t^7.129*y)/g1^15 - (t^7.228*y)/g1^11 - (t^7.327*y)/g1^7 + g1^5*t^7.624*y + g1^9*t^7.723*y + g1^13*t^7.822*y + (2*t^8.406*y)/g1^24 + (3*t^8.505*y)/g1^20 + (5*t^8.604*y)/g1^16 + (4*t^8.703*y)/g1^12 + (4*t^8.802*y)/g1^8 + (2*t^8.901*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
6106 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{9}$ | 0.7063 | 0.8761 | 0.8061 | [M:[1.0174, 0.9477, 1.0523, 0.9128, 1.0872, 0.9477, 0.9128, 0.8779, 0.9826], q:[0.5087, 0.4738], qb:[0.4389, 0.6134], phi:[0.4913]] | t^2.634 + 2*t^2.738 + 2*t^2.843 + 2*t^2.948 + t^4.107 + t^4.212 + 2*t^4.317 + t^4.421 + t^4.526 + t^4.631 + t^4.736 + t^4.84 + t^5.154 + t^5.267 + 2*t^5.372 + 4*t^5.477 + 5*t^5.581 + 6*t^5.686 + 3*t^5.791 + t^5.895 - 4*t^6. - t^4.474/y - t^4.474*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 |
---|---|---|---|---|---|---|---|---|---|
2522 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6961 | 0.8552 | 0.814 | [M:[1.0101, 0.9698, 1.0302, 0.9496, 1.0504, 0.9698, 0.9496], q:[0.505, 0.4849], qb:[0.4647, 0.5655], phi:[0.495]] | 2*t^2.849 + 2*t^2.909 + t^2.97 + t^3.03 + t^3.212 + t^4.273 + t^4.334 + 2*t^4.394 + t^4.455 + t^4.515 + t^4.576 + t^4.636 + t^4.696 + t^4.878 + 2*t^5.698 + 3*t^5.758 + 4*t^5.819 + 3*t^5.879 + t^5.94 - 3*t^6. - t^4.485/y - t^4.485*y | detail |