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 |
---|---|---|---|---|---|---|---|---|---|
46638 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6485 | 0.8133 | 0.7973 | [M:[0.8791, 1.2198, 0.7802, 0.6813], q:[0.6813, 0.4396], qb:[0.3407, 0.7802], phi:[0.4396]] | [M:[[-4], [-1], [1], [6]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | t^2.044 + t^2.341 + 2*t^2.637 + t^3.066 + 2*t^3.363 + 2*t^3.659 + t^4.088 + 3*t^4.385 + 4*t^4.681 + t^4.978 + t^5.11 + 2*t^5.275 + 4*t^5.407 + 5*t^5.703 + 2*t^6. + 2*t^6.132 + 5*t^6.429 - t^6.593 + 7*t^6.725 + 4*t^7.022 + t^7.154 + 2*t^7.319 + 6*t^7.451 - t^7.615 + 9*t^7.747 + 3*t^7.912 + 6*t^8.044 + 2*t^8.176 - 2*t^8.341 + 7*t^8.473 - 4*t^8.637 + 12*t^8.769 - 2*t^8.934 - t^4.319/y - t^6.363/y - (2*t^6.956)/y + t^7.385/y + (4*t^7.681)/y + (2*t^7.978)/y + t^8.11/y + (2*t^8.275)/y + (2*t^8.407)/y + (6*t^8.703)/y - t^4.319*y - t^6.363*y - 2*t^6.956*y + t^7.385*y + 4*t^7.681*y + 2*t^7.978*y + t^8.11*y + 2*t^8.275*y + 2*t^8.407*y + 6*t^8.703*y | g1^6*t^2.044 + g1*t^2.341 + (2*t^2.637)/g1^4 + g1^9*t^3.066 + 2*g1^4*t^3.363 + (2*t^3.659)/g1 + g1^12*t^4.088 + 3*g1^7*t^4.385 + 4*g1^2*t^4.681 + t^4.978/g1^3 + g1^15*t^5.11 + (2*t^5.275)/g1^8 + 4*g1^10*t^5.407 + 5*g1^5*t^5.703 + 2*t^6. + 2*g1^18*t^6.132 + 5*g1^13*t^6.429 - t^6.593/g1^10 + 7*g1^8*t^6.725 + 4*g1^3*t^7.022 + g1^21*t^7.154 + (2*t^7.319)/g1^2 + 6*g1^16*t^7.451 - t^7.615/g1^7 + 9*g1^11*t^7.747 + (3*t^7.912)/g1^12 + 6*g1^6*t^8.044 + 2*g1^24*t^8.176 - 2*g1*t^8.341 + 7*g1^19*t^8.473 - (4*t^8.637)/g1^4 + 12*g1^14*t^8.769 - (2*t^8.934)/g1^9 - t^4.319/(g1^2*y) - (g1^4*t^6.363)/y - (2*t^6.956)/(g1^6*y) + (g1^7*t^7.385)/y + (4*g1^2*t^7.681)/y + (2*t^7.978)/(g1^3*y) + (g1^15*t^8.11)/y + (2*t^8.275)/(g1^8*y) + (2*g1^10*t^8.407)/y + (6*g1^5*t^8.703)/y - (t^4.319*y)/g1^2 - g1^4*t^6.363*y - (2*t^6.956*y)/g1^6 + g1^7*t^7.385*y + 4*g1^2*t^7.681*y + (2*t^7.978*y)/g1^3 + g1^15*t^8.11*y + (2*t^8.275*y)/g1^8 + 2*g1^10*t^8.407*y + 6*g1^5*t^8.703*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 |
---|---|---|---|---|---|---|---|---|
47290 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ | 0.6661 | 0.8451 | 0.7882 | [M:[0.8812, 1.2203, 0.7797, 0.6782, 0.7797], q:[0.6782, 0.4406], qb:[0.3391, 0.7797], phi:[0.4406]] | t^2.035 + 2*t^2.339 + 2*t^2.644 + t^3.052 + 2*t^3.356 + t^3.661 + t^4.069 + 4*t^4.374 + 6*t^4.678 + 3*t^4.983 + t^5.087 + 2*t^5.287 + 5*t^5.391 + 6*t^5.696 + 2*t^6. - t^4.322/y - t^4.322*y | detail | |
46951 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6598 | 0.8306 | 0.7944 | [M:[0.8664, 1.2166, 0.7834, 0.7003, 0.8664], q:[0.7003, 0.4332], qb:[0.3502, 0.7834], phi:[0.4332]] | t^2.101 + t^2.35 + 3*t^2.599 + t^3.151 + t^3.401 + 2*t^3.65 + t^4.202 + 3*t^4.451 + 5*t^4.7 + 2*t^4.95 + 5*t^5.199 + t^5.252 + 3*t^5.502 + 5*t^5.751 + t^6. - t^4.3/y - t^4.3*y | detail | |
47108 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6539 | 0.8186 | 0.7988 | [M:[0.8471, 1.2118, 0.7882, 0.7294, 0.9059], q:[0.7294, 0.4235], qb:[0.3647, 0.7882], phi:[0.4235]] | t^2.188 + t^2.365 + 2*t^2.541 + t^2.718 + 2*t^3.459 + 2*t^3.635 + t^4.376 + 3*t^4.553 + 4*t^4.729 + 2*t^4.906 + 3*t^5.082 + 2*t^5.259 + t^5.436 + 3*t^5.647 + 3*t^5.823 + 2*t^6. - t^4.271/y - t^4.271*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 |
---|---|---|---|---|---|---|---|---|---|
46123 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6277 | 0.7724 | 0.8127 | [M:[0.8767, 1.2192, 0.7808], q:[0.6849, 0.4384], qb:[0.3425, 0.7808], phi:[0.4384]] | t^2.342 + 2*t^2.63 + t^3.082 + 2*t^3.37 + 2*t^3.658 + t^3.945 + 2*t^4.397 + 2*t^4.685 + t^4.973 + 2*t^5.26 + 2*t^5.425 + 3*t^5.712 + 2*t^6. - t^4.315/y - t^4.315*y | detail |