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 |
---|---|---|---|---|---|---|---|---|---|
467 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.4739 | 0.6079 | 0.7797 | [M:[1.2857, 0.7143, 1.0], q:[0.4286, 1.1429], qb:[0.2857, 0.4286], phi:[0.4286]] | [M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2601/5488, c: 417/686, M1: 9/7, M2: 5/7, M3: 1, q1: 3/7, q2: 8/7, qb1: 2/7, qb2: 3/7, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 2*t^2.143 + 2*t^2.571 + t^3. + t^3.429 + t^3.857 + 4*t^4.286 + 5*t^4.714 + 4*t^5.143 + 2*t^5.571 + 6*t^6.429 + 6*t^6.857 + 6*t^7.286 + 5*t^7.714 - 3*t^8.143 + 5*t^8.571 - t^4.286/y - t^6.857/y + t^7.286/y + (5*t^7.714)/y + (3*t^8.143)/y + (4*t^8.571)/y - t^4.286*y - t^6.857*y + t^7.286*y + 5*t^7.714*y + 3*t^8.143*y + 4*t^8.571*y | 2*t^2.143 + 2*t^2.571 + t^3. + t^3.429 + t^3.857 + 4*t^4.286 + 5*t^4.714 + 4*t^5.143 + 2*t^5.571 + 6*t^6.429 + 6*t^6.857 + 6*t^7.286 + 5*t^7.714 - 3*t^8.143 + 5*t^8.571 - t^4.286/y - t^6.857/y + t^7.286/y + (5*t^7.714)/y + (3*t^8.143)/y + (4*t^8.571)/y - t^4.286*y - t^6.857*y + t^7.286*y + 5*t^7.714*y + 3*t^8.143*y + 4*t^8.571*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 |
---|---|---|---|---|---|---|---|---|
759 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ | 0.4942 | 0.646 | 0.765 | [M:[1.2857, 0.7143, 1.0, 0.7143], q:[0.4286, 1.1429], qb:[0.2857, 0.4286], phi:[0.4286]] | 3*t^2.143 + 2*t^2.571 + t^3. + t^3.429 + 7*t^4.286 + 7*t^4.714 + 5*t^5.143 + 3*t^5.571 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 339/686, c: 3545/5488, M1: 9/7, M2: 5/7, M3: 1, M4: 5/7, q1: 3/7, q2: 8/7, qb1: 2/7, qb2: 3/7, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
295 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5069 | 0.6453 | 0.7855 | [M:[1.1786, 0.8214, 0.75], q:[0.3929, 1.2143], qb:[0.4286, 0.3929], phi:[0.3929]] | t^2.25 + 2*t^2.357 + 2*t^2.464 + t^3.536 + t^3.643 + t^4.5 + 2*t^4.607 + 4*t^4.714 + 5*t^4.821 + 4*t^4.929 + t^5.786 + t^5.893 - t^6. - t^4.179/y - t^4.179*y | detail |