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 |
---|---|---|---|---|---|---|---|---|---|
2542 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.6931 | 0.8495 | 0.8159 | [M:[0.9594, 1.029, 0.971, 1.0174, 0.9826, 1.0058, 1.0174], q:[0.5261, 0.5145], qb:[0.5029, 0.4681], phi:[0.4971]] | [M:[[14], [-10], [10], [-6], [6], [-2], [-6]], q:[[-9], [-5]], qb:[[-1], [11]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$ | ${}$ | -2 | t^2.878 + t^2.913 + t^2.983 + t^3.017 + 2*t^3.052 + t^3.087 + t^4.3 + t^4.404 + t^4.439 + t^4.474 + t^4.509 + t^4.544 + 2*t^4.578 + t^4.613 + t^4.648 + t^5.756 + t^5.791 + t^5.896 + 2*t^5.93 + 2*t^5.965 - 2*t^6. + 2*t^6.07 + 3*t^6.104 + t^6.139 + t^7.178 + t^7.213 + 2*t^7.282 + t^7.317 + 2*t^7.352 + 2*t^7.387 + t^7.422 + 3*t^7.456 + 2*t^7.491 + t^7.526 + 3*t^7.561 + 2*t^7.596 + 4*t^7.631 + 2*t^7.665 + 2*t^7.7 + t^7.735 + t^8.6 + t^8.634 + t^8.669 + t^8.704 + t^8.739 + t^8.774 + 2*t^8.808 + 2*t^8.843 - t^8.878 - 2*t^8.913 + 2*t^8.948 + t^8.983 - t^4.491/y - t^7.369/y + t^7.439/y - t^7.544/y + t^7.613/y + t^8.791/y + t^8.861/y + (2*t^8.896)/y + (3*t^8.93)/y + (3*t^8.965)/y - t^4.491*y - t^7.369*y + t^7.439*y - t^7.544*y + t^7.613*y + t^8.791*y + t^8.861*y + 2*t^8.896*y + 3*t^8.93*y + 3*t^8.965*y | g1^14*t^2.878 + g1^10*t^2.913 + g1^2*t^2.983 + t^3.017/g1^2 + (2*t^3.052)/g1^6 + t^3.087/g1^10 + g1^23*t^4.3 + g1^11*t^4.404 + g1^7*t^4.439 + g1^3*t^4.474 + t^4.509/g1 + t^4.544/g1^5 + (2*t^4.578)/g1^9 + t^4.613/g1^13 + t^4.648/g1^17 + g1^28*t^5.756 + g1^24*t^5.791 + g1^12*t^5.896 + 2*g1^8*t^5.93 + 2*g1^4*t^5.965 - 2*t^6. + (2*t^6.07)/g1^8 + (3*t^6.104)/g1^12 + t^6.139/g1^16 + g1^37*t^7.178 + g1^33*t^7.213 + 2*g1^25*t^7.282 + g1^21*t^7.317 + 2*g1^17*t^7.352 + 2*g1^13*t^7.387 + g1^9*t^7.422 + 3*g1^5*t^7.456 + 2*g1*t^7.491 + t^7.526/g1^3 + (3*t^7.561)/g1^7 + (2*t^7.596)/g1^11 + (4*t^7.631)/g1^15 + (2*t^7.665)/g1^19 + (2*t^7.7)/g1^23 + t^7.735/g1^27 + g1^46*t^8.6 + g1^42*t^8.634 + g1^38*t^8.669 + g1^34*t^8.704 + g1^30*t^8.739 + g1^26*t^8.774 + 2*g1^22*t^8.808 + 2*g1^18*t^8.843 - g1^14*t^8.878 - 2*g1^10*t^8.913 + 2*g1^6*t^8.948 + g1^2*t^8.983 - (g1*t^4.491)/y - (g1^15*t^7.369)/y + (g1^7*t^7.439)/y - t^7.544/(g1^5*y) + t^7.613/(g1^13*y) + (g1^24*t^8.791)/y + (g1^16*t^8.861)/y + (2*g1^12*t^8.896)/y + (3*g1^8*t^8.93)/y + (3*g1^4*t^8.965)/y - g1*t^4.491*y - g1^15*t^7.369*y + g1^7*t^7.439*y - (t^7.544*y)/g1^5 + (t^7.613*y)/g1^13 + g1^24*t^8.791*y + g1^16*t^8.861*y + 2*g1^12*t^8.896*y + 3*g1^8*t^8.93*y + 3*g1^4*t^8.965*y |
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 |
---|---|---|---|---|---|---|---|---|
4597 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6968 | 0.8566 | 0.8135 | [M:[0.9282, 1.0513, 0.9487, 1.0308, 0.9692, 1.0103, 1.0308, 0.9487], q:[0.5462, 0.5256], qb:[0.5051, 0.4436], phi:[0.4949]] | t^2.785 + 2*t^2.846 + t^2.969 + t^3.031 + 2*t^3.092 + t^4.146 + t^4.331 + t^4.392 + t^4.454 + t^4.515 + t^4.577 + 2*t^4.638 + t^4.7 + t^4.762 + t^5.569 + 2*t^5.631 + 2*t^5.692 + 2*t^5.815 + 3*t^5.877 + 3*t^5.938 - 3*t^6. - t^4.485/y - t^4.485*y | detail | |
4595 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{6}M_{8}$ | 0.6937 | 0.8506 | 0.8156 | [M:[0.9529, 1.0336, 0.9664, 1.0202, 0.9798, 1.0067, 1.0202, 0.9933], q:[0.5303, 0.5168], qb:[0.5034, 0.463], phi:[0.4966]] | t^2.859 + t^2.899 + 2*t^2.98 + 2*t^3.061 + t^3.101 + t^4.268 + t^4.389 + t^4.429 + t^4.47 + t^4.51 + t^4.55 + 2*t^4.591 + t^4.631 + t^4.672 + t^5.717 + t^5.758 + t^5.839 + t^5.879 + t^5.919 + 4*t^5.96 - 3*t^6. - t^4.49/y - t^4.49*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 |
---|---|---|---|---|---|---|---|---|---|
1454 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6951 | 0.8532 | 0.8147 | [M:[0.9402, 1.0427, 0.9573, 1.0256, 0.9744, 1.0085], q:[0.5384, 0.5214], qb:[0.5043, 0.453], phi:[0.4957]] | t^2.821 + t^2.872 + t^2.923 + t^2.974 + t^3.026 + t^3.077 + t^3.128 + t^4.205 + t^4.359 + t^4.41 + t^4.462 + t^4.513 + t^4.564 + 2*t^4.615 + t^4.667 + t^4.718 + t^5.641 + t^5.692 + t^5.744 + t^5.795 + 2*t^5.846 + 2*t^5.897 + 2*t^5.949 - t^6. - t^4.487/y - t^4.487*y | detail |