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 |
---|---|---|---|---|---|---|---|---|---|
450 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.5791 | 0.7041 | 0.8225 | [X:[1.3823], M:[1.0, 1.2354, 0.676, 0.6177], q:[0.6177, 1.0], qb:[0.3823, 0.4709], phi:[0.3823]] | [X:[[1]], M:[[0], [-2], [7], [-1]], q:[[-1], [0]], qb:[[1], [-4]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}$ | -1 | t^2.028 + t^2.559 + t^3. + t^3.266 + t^3.441 + 2*t^3.706 + t^4.056 + t^4.147 + t^4.413 + t^4.587 + t^4.853 + t^5.028 + t^5.119 + t^5.468 + t^5.734 + t^5.825 - t^6. + t^6.084 + t^6.175 + 2*t^6.266 + t^6.532 + t^6.615 + t^6.706 + t^6.881 + 2*t^6.972 + t^7.056 + t^7.147 + 2*t^7.413 + t^7.496 + t^7.678 + t^7.762 + t^7.853 - t^8.028 + t^8.112 + t^8.119 + t^8.203 + 2*t^8.294 + t^8.385 - t^8.559 + t^8.643 + t^8.825 + t^8.909 - t^4.147/y - t^6.175/y + t^7.587/y + t^8.028/y + t^8.119/y - t^8.203/y + t^8.294/y + t^8.468/y + t^8.559/y + (2*t^8.734)/y + t^8.825/y - t^4.147*y - t^6.175*y + t^7.587*y + t^8.028*y + t^8.119*y - t^8.203*y + t^8.294*y + t^8.468*y + t^8.559*y + 2*t^8.734*y + t^8.825*y | g1^7*t^2.028 + t^2.559/g1^3 + t^3. + t^3.266/g1^5 + g1^3*t^3.441 + (2*t^3.706)/g1^2 + g1^14*t^4.056 + g1*t^4.147 + t^4.413/g1^4 + g1^4*t^4.587 + t^4.853/g1 + g1^7*t^5.028 + t^5.119/g1^6 + g1^10*t^5.468 + g1^5*t^5.734 + t^5.825/g1^8 - t^6. + g1^21*t^6.084 + g1^8*t^6.175 + (2*t^6.266)/g1^5 + t^6.532/g1^10 + g1^11*t^6.615 + t^6.706/g1^2 + g1^6*t^6.881 + (2*t^6.972)/g1^7 + g1^14*t^7.056 + g1*t^7.147 + (2*t^7.413)/g1^4 + g1^17*t^7.496 + t^7.678/g1^9 + g1^12*t^7.762 + t^7.853/g1 - g1^7*t^8.028 + g1^28*t^8.112 + t^8.119/g1^6 + g1^15*t^8.203 + 2*g1^2*t^8.294 + t^8.385/g1^11 - t^8.559/g1^3 + g1^18*t^8.643 + t^8.825/g1^8 + g1^13*t^8.909 - (g1*t^4.147)/y - (g1^8*t^6.175)/y + (g1^4*t^7.587)/y + (g1^7*t^8.028)/y + t^8.119/(g1^6*y) - (g1^15*t^8.203)/y + (g1^2*t^8.294)/y + (g1^10*t^8.468)/y + t^8.559/(g1^3*y) + (2*g1^5*t^8.734)/y + t^8.825/(g1^8*y) - g1*t^4.147*y - g1^8*t^6.175*y + g1^4*t^7.587*y + g1^7*t^8.028*y + (t^8.119*y)/g1^6 - g1^15*t^8.203*y + g1^2*t^8.294*y + g1^10*t^8.468*y + (t^8.559*y)/g1^3 + 2*g1^5*t^8.734*y + (t^8.825*y)/g1^8 |
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 |
---|---|---|---|---|---|---|---|---|
750 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5924 | 0.7273 | 0.8146 | [X:[1.3859], M:[1.0, 1.2281, 0.7016, 0.6141, 0.8422], q:[0.6141, 1.0], qb:[0.3859, 0.4562], phi:[0.3859]] | t^2.105 + 2*t^2.527 + t^3. + t^3.211 + 2*t^3.684 + t^4.158 + t^4.209 + t^4.369 + 2*t^4.631 + t^4.842 + 3*t^5.053 + t^5.105 + t^5.527 + 2*t^5.737 + t^5.789 - 2*t^6. - t^4.158/y - t^4.158*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 |
---|---|---|---|---|---|---|---|---|---|
280 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.6018 | 0.7514 | 0.8009 | [M:[1.0, 1.2127, 0.6809, 0.6809], q:[0.6436, 0.9627], qb:[0.3564, 0.4627], phi:[0.3936]] | 2*t^2.043 + t^2.457 + t^3. + 2*t^3.319 + 2*t^3.638 + 3*t^4.085 + t^4.276 + 2*t^4.5 + t^4.819 + t^4.915 + 2*t^5.043 + 3*t^5.362 + t^5.457 + 2*t^5.681 + 2*t^5.776 - 2*t^6. - t^4.181/y - t^4.181*y | detail |