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 |
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6168 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}X_{1}$ + ${ }M_{2}M_{8}$ | 0.611 | 0.7628 | 0.801 | [X:[1.3333], M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 0.7619, 1.1429], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 479/784, c: 299/392, X1: 4/3, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 16/21, M8: 8/7, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | -2 | 2*t^2.286 + t^2.857 + t^3.143 + 3*t^3.429 + t^3.714 + 3*t^4. + t^4.286 + 3*t^4.571 + 2*t^5.143 + 2*t^5.429 + 5*t^5.714 - 2*t^6. + 6*t^6.286 + 2*t^6.571 + 10*t^6.857 + 2*t^7.143 + 7*t^7.429 + 2*t^7.714 + 9*t^8. - 3*t^8.286 + 8*t^8.571 - 2*t^8.857 - t^4.429/y - t^6.714/y + t^7./y + t^7.571/y - t^7.857/y + (3*t^8.143)/y + (2*t^8.429)/y + (6*t^8.714)/y - t^4.429*y - t^6.714*y + t^7.*y + t^7.571*y - t^7.857*y + 3*t^8.143*y + 2*t^8.429*y + 6*t^8.714*y | 2*t^2.286 + t^2.857 + t^3.143 + 3*t^3.429 + t^3.714 + 3*t^4. + t^4.286 + 3*t^4.571 + 2*t^5.143 + 2*t^5.429 + 5*t^5.714 - 2*t^6. + 6*t^6.286 + 2*t^6.571 + 10*t^6.857 + 2*t^7.143 + 7*t^7.429 + 2*t^7.714 + 9*t^8. - 3*t^8.286 + 8*t^8.571 - 2*t^8.857 - t^4.429/y - t^6.714/y + t^7./y + t^7.571/y - t^7.857/y + (3*t^8.143)/y + (2*t^8.429)/y + (6*t^8.714)/y - t^4.429*y - t^6.714*y + t^7.*y + t^7.571*y - t^7.857*y + 3*t^8.143*y + 2*t^8.429*y + 6*t^8.714*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4619 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}X_{1}$ | 0.6235 | 0.7843 | 0.7951 | [X:[1.3333], M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 0.7619], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]] | 2*t^2.286 + t^2.571 + t^2.857 + t^3.143 + 2*t^3.429 + t^3.714 + 3*t^4. + t^4.286 + 3*t^4.571 + 2*t^4.857 + 3*t^5.143 + 3*t^5.429 + 4*t^5.714 - t^4.429/y - t^4.429*y | detail | {a: 1711/2744, c: 269/343, X1: 4/3, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 16/21, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21} |