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 |
---|---|---|---|---|---|---|---|---|---|
506 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.7145 | 0.8771 | 0.8147 | [M:[0.9328, 0.9328, 1.0672, 0.7984], q:[0.6008, 0.4664], qb:[0.4664, 0.6008], phi:[0.4664]] | [M:[[-2], [-2], [2], [-6]], q:[[3], [-1]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.395 + 3*t^2.798 + 3*t^3.202 + 3*t^4.198 + 4*t^4.601 + t^4.791 + 3*t^5.004 + 3*t^5.194 + 5*t^5.597 + t^6. + t^6.403 + 3*t^6.593 + 9*t^6.996 + t^7.186 + 10*t^7.399 + 3*t^7.589 + 6*t^7.802 + 5*t^7.992 + 2*t^8.205 + 7*t^8.395 - 2*t^8.798 + 3*t^8.988 - t^4.399/y - t^6.795/y - (2*t^7.198)/y + (2*t^7.601)/y + t^8.004/y + (3*t^8.194)/y + (6*t^8.597)/y - t^4.399*y - t^6.795*y - 2*t^7.198*y + 2*t^7.601*y + t^8.004*y + 3*t^8.194*y + 6*t^8.597*y | t^2.395/g1^6 + (3*t^2.798)/g1^2 + 3*g1^2*t^3.202 + (3*t^4.198)/g1^3 + 4*g1*t^4.601 + t^4.791/g1^12 + 3*g1^5*t^5.004 + (3*t^5.194)/g1^8 + (5*t^5.597)/g1^4 + t^6. + g1^4*t^6.403 + (3*t^6.593)/g1^9 + (9*t^6.996)/g1^5 + t^7.186/g1^18 + (10*t^7.399)/g1 + (3*t^7.589)/g1^14 + 6*g1^3*t^7.802 + (5*t^7.992)/g1^10 + 2*g1^7*t^8.205 + (7*t^8.395)/g1^6 - (2*t^8.798)/g1^2 + (3*t^8.988)/g1^15 - t^4.399/(g1*y) - t^6.795/(g1^7*y) - (2*t^7.198)/(g1^3*y) + (2*g1*t^7.601)/y + (g1^5*t^8.004)/y + (3*t^8.194)/(g1^8*y) + (6*t^8.597)/(g1^4*y) - (t^4.399*y)/g1 - (t^6.795*y)/g1^7 - (2*t^7.198*y)/g1^3 + 2*g1*t^7.601*y + g1^5*t^8.004*y + (3*t^8.194*y)/g1^8 + (6*t^8.597*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 |
---|---|---|---|---|---|---|---|---|
793 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ | 0.7211 | 0.8891 | 0.811 | [M:[0.9247, 0.9247, 1.0753, 0.774, 0.9247], q:[0.613, 0.4623], qb:[0.4623, 0.613], phi:[0.4623]] | t^2.322 + 4*t^2.774 + 2*t^3.226 + 3*t^4.161 + 4*t^4.613 + t^4.644 + 3*t^5.065 + 4*t^5.096 + 8*t^5.548 - t^4.387/y - t^4.387*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 |
---|---|---|---|---|---|---|---|---|---|
326 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.7722 | 0.9495 | 0.8132 | [M:[0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]] | 5*t^2.324 + 2*t^3.676 + 15*t^4.647 + 10*t^4.838 - 6*t^6. - t^4.162/y - t^4.162*y | detail |