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 |
---|---|---|---|---|---|---|---|---|---|
2540 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6502 | 0.8152 | 0.7976 | [M:[1.04, 0.88, 1.12, 0.8, 1.2, 0.72], q:[0.52, 0.44], qb:[0.36, 0.76], phi:[0.48]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 81279/125000, c: 12738/15625, M1: 26/25, M2: 22/25, M3: 28/25, M4: 4/5, M5: 6/5, M6: 18/25, q1: 13/25, q2: 11/25, qb1: 9/25, qb2: 19/25, phi1: 12/25} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 2 | t^2.16 + t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + 2*t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 2*t^4.56 + 2*t^4.8 + 2*t^5.04 + 3*t^5.28 + 2*t^5.52 + 3*t^5.76 + 2*t^6. + 3*t^6.24 + 5*t^6.48 + 5*t^6.72 + 5*t^6.96 + 5*t^7.2 + 5*t^7.44 + 5*t^7.68 + 5*t^7.92 + 5*t^8.16 + 4*t^8.4 + 5*t^8.64 + 5*t^8.88 - t^4.44/y - t^6.6/y + t^7.56/y + t^7.8/y + (2*t^8.04)/y + (3*t^8.28)/y + (3*t^8.52)/y + (3*t^8.76)/y - t^4.44*y - t^6.6*y + t^7.56*y + t^7.8*y + 2*t^8.04*y + 3*t^8.28*y + 3*t^8.52*y + 3*t^8.76*y | t^2.16 + t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + 2*t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 2*t^4.56 + 2*t^4.8 + 2*t^5.04 + 3*t^5.28 + 2*t^5.52 + 3*t^5.76 + 2*t^6. + 3*t^6.24 + 5*t^6.48 + 5*t^6.72 + 5*t^6.96 + 5*t^7.2 + 5*t^7.44 + 5*t^7.68 + 5*t^7.92 + 5*t^8.16 + 4*t^8.4 + 5*t^8.64 + 5*t^8.88 - t^4.44/y - t^6.6/y + t^7.56/y + t^7.8/y + (2*t^8.04)/y + (3*t^8.28)/y + (3*t^8.52)/y + (3*t^8.76)/y - t^4.44*y - t^6.6*y + t^7.56*y + t^7.8*y + 2*t^8.04*y + 3*t^8.28*y + 3*t^8.52*y + 3*t^8.76*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 |
---|---|---|---|---|---|---|---|---|
4591 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6703 | 0.8528 | 0.786 | [M:[1.04, 0.88, 1.12, 0.8, 1.2, 0.72, 0.72], q:[0.52, 0.44], qb:[0.36, 0.76], phi:[0.48]] | 2*t^2.16 + t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + 2*t^3.6 + 2*t^4.08 + 4*t^4.32 + 3*t^4.56 + 3*t^4.8 + 3*t^5.04 + 4*t^5.28 + 3*t^5.52 + 5*t^5.76 + t^6. - t^4.44/y - t^4.44*y | detail | {a: 167577/250000, c: 106601/125000, M1: 26/25, M2: 22/25, M3: 28/25, M4: 4/5, M5: 6/5, M6: 18/25, M7: 18/25, q1: 13/25, q2: 11/25, qb1: 9/25, qb2: 19/25, phi1: 12/25} |
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 |
---|---|---|---|---|---|---|---|---|---|
1443 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6952 | 0.8534 | 0.8146 | [M:[1.0089, 0.9733, 1.0267, 0.9554, 1.0446, 0.9376], q:[0.5045, 0.4866], qb:[0.4688, 0.5579], phi:[0.4955]] | t^2.813 + t^2.866 + t^2.92 + t^2.973 + t^3.027 + t^3.08 + t^3.134 + t^4.299 + t^4.353 + 2*t^4.406 + t^4.46 + t^4.513 + t^4.567 + t^4.62 + t^4.674 + t^4.834 + t^5.626 + t^5.679 + t^5.733 + t^5.786 + 2*t^5.84 + 2*t^5.893 + 2*t^5.947 - t^6. - t^4.487/y - t^4.487*y | detail |