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 |
---|---|---|---|---|---|---|---|---|---|
573 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7271 | 0.893 | 0.8142 | [M:[1.0, 0.7947, 1.0, 0.7947], q:[0.4487, 0.5513], qb:[0.5513, 0.654], phi:[0.4487]] | [M:[[0], [-4], [0], [-4]], q:[[-1], [1]], qb:[[1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | ${}M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | -1 | 2*t^2.384 + t^2.692 + 2*t^3. + 2*t^3.308 + t^4.038 + 2*t^4.346 + 4*t^4.654 + 3*t^4.768 + 2*t^4.962 + 2*t^5.076 + t^5.27 + 4*t^5.384 + 2*t^5.692 - t^6. + 2*t^6.422 + t^6.616 + 4*t^6.73 + 8*t^7.038 + 4*t^7.152 + 7*t^7.346 + 3*t^7.46 + 6*t^7.654 + 6*t^7.768 + 3*t^7.962 + 4*t^8.076 - 2*t^8.384 - 2*t^8.692 + 3*t^8.806 - t^4.346/y - (2*t^6.73)/y - t^7.038/y + t^7.654/y + t^7.768/y + (2*t^7.962)/y + (2*t^8.076)/y + (4*t^8.384)/y + (6*t^8.692)/y - t^4.346*y - 2*t^6.73*y - t^7.038*y + t^7.654*y + t^7.768*y + 2*t^7.962*y + 2*t^8.076*y + 4*t^8.384*y + 6*t^8.692*y | (2*t^2.384)/g1^4 + t^2.692/g1^2 + 2*t^3. + 2*g1^2*t^3.308 + t^4.038/g1^3 + (2*t^4.346)/g1 + 4*g1*t^4.654 + (3*t^4.768)/g1^8 + 2*g1^3*t^4.962 + (2*t^5.076)/g1^6 + g1^5*t^5.27 + (4*t^5.384)/g1^4 + (2*t^5.692)/g1^2 - t^6. + (2*t^6.422)/g1^7 + g1^4*t^6.616 + (4*t^6.73)/g1^5 + (8*t^7.038)/g1^3 + (4*t^7.152)/g1^12 + (7*t^7.346)/g1 + (3*t^7.46)/g1^10 + 6*g1*t^7.654 + (6*t^7.768)/g1^8 + 3*g1^3*t^7.962 + (4*t^8.076)/g1^6 - (2*t^8.384)/g1^4 - (2*t^8.692)/g1^2 + (3*t^8.806)/g1^11 - t^4.346/(g1*y) - (2*t^6.73)/(g1^5*y) - t^7.038/(g1^3*y) + (g1*t^7.654)/y + t^7.768/(g1^8*y) + (2*g1^3*t^7.962)/y + (2*t^8.076)/(g1^6*y) + (4*t^8.384)/(g1^4*y) + (6*t^8.692)/(g1^2*y) - (t^4.346*y)/g1 - (2*t^6.73*y)/g1^5 - (t^7.038*y)/g1^3 + g1*t^7.654*y + (t^7.768*y)/g1^8 + 2*g1^3*t^7.962*y + (2*t^8.076*y)/g1^6 + (4*t^8.384*y)/g1^4 + (6*t^8.692*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
888 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.7183 | 0.8774 | 0.8187 | [M:[1.0, 0.8187, 1.0, 0.8187, 1.0906], q:[0.4547, 0.5453], qb:[0.5453, 0.6359], phi:[0.4547]] | 2*t^2.456 + 2*t^3. + 3*t^3.272 + t^4.092 + 2*t^4.364 + 4*t^4.636 + 2*t^4.908 + 3*t^4.912 + t^5.18 + 3*t^5.456 + 2*t^5.728 - 3*t^6. - t^4.364/y - t^4.364*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 |
---|---|---|---|---|---|---|---|---|---|
362 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.7272 | 0.8931 | 0.8142 | [M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], phi:[0.4484]] | 2*t^2.381 + t^2.69 + 2*t^3. + t^3.274 + t^3.345 + t^4.071 + 2*t^4.345 + 3*t^4.619 + t^4.69 + 3*t^4.761 + 2*t^4.965 + 2*t^5.071 + t^5.31 + 4*t^5.381 + 2*t^5.69 + t^5.964 - 3*t^6. - t^4.345/y - t^4.345*y | detail |