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 |
---|---|---|---|---|---|---|---|---|---|
1322 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{5}^{2}$ | 0.695 | 0.8495 | 0.8181 | [M:[1.0, 1.0186, 0.9627, 0.9627, 1.0, 1.0373], q:[0.5373, 0.4627], qb:[0.5, 0.5373], phi:[0.4907]] | [M:[[0], [2], [-4], [-4], [0], [4]], q:[[4], [-4]], qb:[[0], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$ | ${}M_{1}M_{5}$, ${ }M_{3}M_{6}$ | -1 | 2*t^2.888 + 2*t^3. + t^3.056 + t^3.112 + t^3.224 + t^4.248 + t^4.36 + 3*t^4.472 + 2*t^4.584 + 3*t^4.696 + t^5.776 + t^5.888 + 2*t^5.944 - t^6. + 2*t^6.056 + t^6.112 + t^6.168 + t^6.224 + t^6.28 + t^6.336 + t^6.447 + 2*t^7.137 + 2*t^7.248 + 4*t^7.36 + 4*t^7.472 + 6*t^7.584 + 6*t^7.696 + 3*t^7.808 + 3*t^7.919 + t^8.497 + t^8.609 + 3*t^8.72 - t^8.776 + 4*t^8.832 - 6*t^8.888 + 7*t^8.944 - t^4.472/y - t^7.36/y + t^7.584/y + t^8.776/y + (4*t^8.888)/y + (2*t^8.944)/y - t^4.472*y - t^7.36*y + t^7.584*y + t^8.776*y + 4*t^8.888*y + 2*t^8.944*y | (2*t^2.888)/g1^4 + 2*t^3. + g1^2*t^3.056 + g1^4*t^3.112 + g1^8*t^3.224 + t^4.248/g1^9 + t^4.36/g1^5 + (3*t^4.472)/g1 + 2*g1^3*t^4.584 + 3*g1^7*t^4.696 + t^5.776/g1^8 + t^5.888/g1^4 + (2*t^5.944)/g1^2 - t^6. + 2*g1^2*t^6.056 + g1^4*t^6.112 + g1^6*t^6.168 + g1^8*t^6.224 + g1^10*t^6.28 + g1^12*t^6.336 + g1^16*t^6.447 + (2*t^7.137)/g1^13 + (2*t^7.248)/g1^9 + (4*t^7.36)/g1^5 + (4*t^7.472)/g1 + 6*g1^3*t^7.584 + 6*g1^7*t^7.696 + 3*g1^11*t^7.808 + 3*g1^15*t^7.919 + t^8.497/g1^18 + t^8.609/g1^14 + (3*t^8.72)/g1^10 - t^8.776/g1^8 + (4*t^8.832)/g1^6 - (6*t^8.888)/g1^4 + (7*t^8.944)/g1^2 - t^4.472/(g1*y) - t^7.36/(g1^5*y) + (g1^3*t^7.584)/y + t^8.776/(g1^8*y) + (4*t^8.888)/(g1^4*y) + (2*t^8.944)/(g1^2*y) - (t^4.472*y)/g1 - (t^7.36*y)/g1^5 + g1^3*t^7.584*y + (t^8.776*y)/g1^8 + (4*t^8.888*y)/g1^4 + (2*t^8.944*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 |
---|---|---|---|---|---|---|---|---|
2367 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{6}M_{7}$ | 0.6993 | 0.8564 | 0.8165 | [M:[1.0, 1.0275, 0.945, 0.945, 1.0, 1.055, 0.945], q:[0.555, 0.445], qb:[0.5, 0.555], phi:[0.4862]] | 3*t^2.835 + 2*t^3. + t^3.083 + t^3.33 + t^4.129 + t^4.294 + 3*t^4.459 + 2*t^4.624 + 3*t^4.789 + 4*t^5.67 + 3*t^5.835 + 3*t^5.917 - 3*t^6. - t^4.459/y - t^4.459*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 |
---|---|---|---|---|---|---|---|---|---|
834 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ | 0.7146 | 0.8745 | 0.8171 | [M:[1.0, 1.0767, 0.8466, 1.0202, 0.8264, 0.9798], q:[0.4798, 0.5202], qb:[0.5, 0.6534], phi:[0.4617]] | t^2.479 + t^2.54 + t^2.939 + t^3. + t^3.061 + t^3.23 + t^3.399 + t^4.264 + t^4.324 + 2*t^4.385 + t^4.446 + t^4.506 + t^4.784 + t^4.845 + t^4.906 + t^4.958 + t^5.019 + t^5.08 + t^5.305 + t^5.418 + t^5.479 + t^5.54 + t^5.709 + t^5.77 + t^5.879 - 2*t^6. - t^4.385/y - t^4.385*y | detail |