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 |
---|---|---|---|---|---|---|---|---|---|
56049 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{3}M_{6}$ | 0.6893 | 0.8679 | 0.7942 | [M:[0.8571, 1.0, 1.1429, 0.7143, 0.7143, 0.8571], q:[0.6429, 0.5], qb:[0.3571, 0.7857], phi:[0.4286]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3783/5488, c: 4763/5488, M1: 6/7, M2: 1, M3: 8/7, M4: 5/7, M5: 5/7, M6: 6/7, q1: 9/14, q2: 1/2, qb1: 5/14, qb2: 11/14, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}M_{3}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 3 | 2*t^2.143 + 3*t^2.571 + t^3. + 2*t^3.429 + 6*t^4.286 + 7*t^4.714 + 8*t^5.143 + 5*t^5.571 + 3*t^6. + 7*t^6.429 + 15*t^6.857 + 15*t^7.286 + 17*t^7.714 + 3*t^8.143 + 10*t^8.571 - t^4.286/y - (2*t^6.429)/y - (2*t^6.857)/y + t^7.286/y + (8*t^7.714)/y + (7*t^8.143)/y + (4*t^8.571)/y - t^4.286*y - 2*t^6.429*y - 2*t^6.857*y + t^7.286*y + 8*t^7.714*y + 7*t^8.143*y + 4*t^8.571*y | 2*t^2.143 + 3*t^2.571 + t^3. + 2*t^3.429 + 6*t^4.286 + 7*t^4.714 + 8*t^5.143 + 5*t^5.571 + 3*t^6. + 7*t^6.429 + 15*t^6.857 + 15*t^7.286 + 17*t^7.714 + 3*t^8.143 + 10*t^8.571 - t^4.286/y - (2*t^6.429)/y - (2*t^6.857)/y + t^7.286/y + (8*t^7.714)/y + (7*t^8.143)/y + (4*t^8.571)/y - t^4.286*y - 2*t^6.429*y - 2*t^6.857*y + t^7.286*y + 8*t^7.714*y + 7*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 |
---|---|---|---|---|---|---|---|---|
58137 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{3}M_{7}$ | 0.7019 | 0.8894 | 0.7892 | [M:[0.8571, 1.0, 1.1429, 0.7143, 0.7143, 0.8571, 0.8571], q:[0.6429, 0.5], qb:[0.3571, 0.7857], phi:[0.4286]] | 2*t^2.143 + 4*t^2.571 + t^3. + t^3.429 + 6*t^4.286 + 9*t^4.714 + 12*t^5.143 + 4*t^5.571 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 963/1372, c: 4881/5488, M1: 6/7, M2: 1, M3: 8/7, M4: 5/7, M5: 5/7, M6: 6/7, M7: 6/7, q1: 9/14, q2: 1/2, qb1: 5/14, qb2: 11/14, 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 |
---|---|---|---|---|---|---|---|---|---|
50863 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.7088 | 0.8951 | 0.7919 | [M:[0.9806, 1.0, 1.1154, 0.6731, 0.7692, 0.6925], q:[0.5674, 0.452], qb:[0.4326, 0.7789], phi:[0.4423]] | t^2.019 + t^2.078 + t^2.307 + t^2.654 + t^2.942 + t^3. + t^3.346 + t^3.634 + 3*t^4.039 + t^4.097 + t^4.155 + 2*t^4.327 + 2*t^4.385 + t^4.615 + t^4.673 + 2*t^4.731 + 2*t^4.961 + 2*t^5.019 + t^5.078 + t^5.249 + 2*t^5.307 + t^5.366 + t^5.424 + 2*t^5.654 + t^5.712 + t^5.884 + t^5.942 - t^6. - t^4.327/y - t^4.327*y | detail |