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 |
---|---|---|---|---|---|---|---|---|---|
401 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}^{2}$ | 0.6582 | 0.7832 | 0.8404 | [M:[1.0, 1.1429, 1.0, 1.0], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | [M:[[1], [0], [0], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 129/196, c: 307/392, M1: 1, M2: 8/7, M3: 1, M4: 1, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$ | -3 | 3*t^3. + t^3.429 + 3*t^3.857 + 6*t^4.286 - 3*t^6. + 6*t^6.857 + 10*t^7.286 + 6*t^7.714 + 10*t^8.143 + 12*t^8.571 - t^4.286/y - t^4.286*y | t^3. + t^3./g1 + g1*t^3. + t^3.429 + t^3.857 + t^3.857/g1 + g1*t^3.857 + 2*t^4.286 + t^4.286/g1^2 + t^4.286/g1 + g1*t^4.286 + g1^2*t^4.286 - t^6. - t^6./g1 - g1*t^6. + 2*t^6.857 + t^6.857/g1^2 + t^6.857/g1 + g1*t^6.857 + g1^2*t^6.857 + 2*t^7.286 + t^7.286/g1^3 + t^7.286/g1^2 + (2*t^7.286)/g1 + 2*g1*t^7.286 + g1^2*t^7.286 + g1^3*t^7.286 + 2*t^7.714 + t^7.714/g1^2 + t^7.714/g1 + g1*t^7.714 + g1^2*t^7.714 + 2*t^8.143 + t^8.143/g1^3 + t^8.143/g1^2 + (2*t^8.143)/g1 + 2*g1*t^8.143 + g1^2*t^8.143 + g1^3*t^8.143 + 2*t^8.571 + t^8.571/g1^4 + t^8.571/g1^3 + (2*t^8.571)/g1^2 + t^8.571/g1 + g1*t^8.571 + 2*g1^2*t^8.571 + g1^3*t^8.571 + g1^4*t^8.571 - t^4.286/y - t^4.286*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 |
---|---|---|---|---|---|---|---|---|
649 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{5}$ | 0.6595 | 0.7862 | 0.8388 | [M:[1.0276, 1.1429, 1.0, 0.9724, 0.9724], q:[0.7857, 0.4724], qb:[0.5, 0.5276], phi:[0.4286]] | 2*t^2.917 + t^3. + t^3.429 + t^3.774 + t^3.857 + t^3.94 + t^4.12 + t^4.203 + 2*t^4.286 + t^4.368 + t^4.451 + 2*t^5.834 - 2*t^6. - t^4.286/y - t^4.286*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 |
---|---|---|---|---|---|---|---|---|---|
250 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ | 0.6621 | 0.7871 | 0.8412 | [M:[1.0, 1.1646, 0.9238, 1.0], q:[0.7912, 0.5381], qb:[0.4619, 0.5381], phi:[0.4177]] | t^2.771 + 2*t^3. + t^3.494 + t^3.759 + 2*t^3.988 + t^4.024 + 2*t^4.253 + 3*t^4.482 + t^5.543 - 2*t^6. - t^4.253/y - t^4.253*y | detail |