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 |
---|---|---|---|---|---|---|---|---|---|
802 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ | 0.6935 | 0.8487 | 0.8171 | [M:[0.9891, 0.9673, 1.0109, 1.0327, 0.9891], q:[0.5381, 0.4728], qb:[0.4946, 0.5163], phi:[0.4946]] | [M:[[-2], [-6], [2], [6], [-2]], q:[[7], [-5]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.902 + 3*t^2.967 + t^3.033 + t^3.098 + t^3.163 + t^4.32 + t^4.386 + 2*t^4.451 + 2*t^4.516 + 2*t^4.582 + t^4.647 + t^4.712 + t^5.869 + 4*t^5.935 + t^6.065 + 2*t^6.131 + t^6.196 + t^6.261 + t^6.327 + t^7.222 + 3*t^7.288 + 2*t^7.353 + 4*t^7.418 + 4*t^7.484 + 4*t^7.549 + 3*t^7.614 + 4*t^7.68 + 2*t^7.745 + 2*t^7.81 + t^7.876 + t^8.641 + t^8.706 + t^8.771 + 2*t^8.837 + 5*t^8.902 - 3*t^8.967 - t^4.484/y - (2*t^7.451)/y + (2*t^7.516)/y + (3*t^8.869)/y + (4*t^8.935)/y - t^4.484*y - 2*t^7.451*y + 2*t^7.516*y + 3*t^8.869*y + 4*t^8.935*y | t^2.902/g1^6 + (3*t^2.967)/g1^2 + g1^2*t^3.033 + g1^6*t^3.098 + g1^10*t^3.163 + t^4.32/g1^11 + t^4.386/g1^7 + (2*t^4.451)/g1^3 + 2*g1*t^4.516 + 2*g1^5*t^4.582 + g1^9*t^4.647 + g1^13*t^4.712 + t^5.869/g1^8 + (4*t^5.935)/g1^4 + g1^4*t^6.065 + 2*g1^8*t^6.131 + g1^12*t^6.196 + g1^16*t^6.261 + g1^20*t^6.327 + t^7.222/g1^17 + (3*t^7.288)/g1^13 + (2*t^7.353)/g1^9 + (4*t^7.418)/g1^5 + (4*t^7.484)/g1 + 4*g1^3*t^7.549 + 3*g1^7*t^7.614 + 4*g1^11*t^7.68 + 2*g1^15*t^7.745 + 2*g1^19*t^7.81 + g1^23*t^7.876 + t^8.641/g1^22 + t^8.706/g1^18 + t^8.771/g1^14 + (2*t^8.837)/g1^10 + (5*t^8.902)/g1^6 - (3*t^8.967)/g1^2 - t^4.484/(g1*y) - (2*t^7.451)/(g1^3*y) + (2*g1*t^7.516)/y + (3*t^8.869)/(g1^8*y) + (4*t^8.935)/(g1^4*y) - (t^4.484*y)/g1 - (2*t^7.451*y)/g1^3 + 2*g1*t^7.516*y + (3*t^8.869*y)/g1^8 + (4*t^8.935*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 |
---|---|---|---|---|---|---|---|---|
1282 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ | 0.6977 | 0.8557 | 0.8153 | [M:[0.9812, 0.9436, 1.0188, 1.0564, 0.9812, 0.9436], q:[0.5658, 0.453], qb:[0.4906, 0.5282], phi:[0.4906]] | 2*t^2.831 + 3*t^2.944 + t^3.056 + t^3.282 + t^4.19 + t^4.303 + 2*t^4.415 + 2*t^4.528 + 2*t^4.641 + t^4.754 + t^4.866 + 2*t^5.662 + 4*t^5.775 + 5*t^5.887 - t^6. - t^4.472/y - t^4.472*y | detail | |
1281 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6946 | 0.8505 | 0.8168 | [M:[0.9864, 0.9593, 1.0136, 1.0407, 0.9864, 0.9864], q:[0.5475, 0.4661], qb:[0.4932, 0.5204], phi:[0.4932]] | t^2.878 + 4*t^2.959 + t^3.122 + t^3.204 + t^4.276 + t^4.357 + 2*t^4.439 + 2*t^4.52 + 2*t^4.602 + t^4.683 + t^4.765 + 2*t^5.837 + 7*t^5.919 - 3*t^6. - t^4.48/y - t^4.48*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 |
---|---|---|---|---|---|---|---|---|---|
513 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{3}$ | 0.6926 | 0.8476 | 0.8172 | [M:[0.9918, 0.9753, 1.0082, 1.0247], q:[0.5288, 0.4795], qb:[0.4959, 0.5123], phi:[0.4959]] | t^2.926 + 2*t^2.975 + 2*t^3.025 + t^3.074 + t^3.123 + t^4.364 + t^4.414 + 2*t^4.463 + 2*t^4.512 + 2*t^4.562 + t^4.611 + t^4.66 + 2*t^5.951 + t^6. - t^4.488/y - t^4.488*y | detail |