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 |
---|---|---|---|---|---|---|---|---|---|
1630 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6817 | 0.8513 | 0.8007 | [M:[1.0, 1.1429, 0.8571, 0.7143, 0.8571, 0.8571], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3741/5488, c: 292/343, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, M5: 6/7, M6: 6/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$ | ${}M_{3}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | 2 | t^2.143 + 4*t^2.571 + t^3. + t^3.429 + t^3.857 + 4*t^4.286 + 5*t^4.714 + 11*t^5.143 + 3*t^5.571 + 2*t^6. + 4*t^6.429 + 11*t^6.857 + 13*t^7.286 + 20*t^7.714 + 3*t^8.143 + 2*t^8.571 - t^4.286/y - t^6.429/y - (3*t^6.857)/y + (7*t^7.714)/y + (8*t^8.143)/y + (4*t^8.571)/y - t^4.286*y - t^6.429*y - 3*t^6.857*y + 7*t^7.714*y + 8*t^8.143*y + 4*t^8.571*y | t^2.143 + 4*t^2.571 + t^3. + t^3.429 + t^3.857 + 4*t^4.286 + 5*t^4.714 + 11*t^5.143 + 3*t^5.571 + 2*t^6. + 4*t^6.429 + 11*t^6.857 + 13*t^7.286 + 20*t^7.714 + 3*t^8.143 + 2*t^8.571 - t^4.286/y - t^6.429/y - (3*t^6.857)/y + (7*t^7.714)/y + (8*t^8.143)/y + (4*t^8.571)/y - t^4.286*y - t^6.429*y - 3*t^6.857*y + 7*t^7.714*y + 8*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 |
---|---|---|---|---|---|---|---|---|
4022 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6942 | 0.8728 | 0.7954 | [M:[1.0, 1.1429, 0.8571, 0.7143, 0.8571, 0.8571, 0.8571], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | t^2.143 + 5*t^2.571 + t^3. + t^3.857 + 4*t^4.286 + 6*t^4.714 + 16*t^5.143 + 3*t^5.571 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 1905/2744, c: 2395/2744, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, M5: 6/7, M6: 6/7, M7: 6/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, 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 |
---|---|---|---|---|---|---|---|---|---|
1047 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.701 | 0.8802 | 0.7964 | [M:[1.0, 1.1151, 0.9819, 0.6727, 0.8849, 0.6908], q:[0.7788, 0.4334], qb:[0.5666, 0.4515], phi:[0.4424]] | t^2.018 + t^2.072 + 2*t^2.655 + t^2.946 + t^3. + t^3.636 + t^3.691 + 3*t^4.036 + t^4.091 + t^4.145 + t^4.327 + t^4.382 + 2*t^4.673 + 3*t^4.727 + t^4.964 + 2*t^5.018 + t^5.072 + 3*t^5.309 + t^5.6 + 2*t^5.655 + 2*t^5.709 + t^5.763 + t^5.891 - 2*t^6. - t^4.327/y - t^4.327*y | detail |