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 |
---|---|---|---|---|---|---|---|---|---|
46055 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ | 0.5954 | 0.7288 | 0.817 | [M:[0.7562, 1.0], q:[1.0, 0.6219], qb:[0.3781, 0.4876], phi:[0.3781]] | [M:[[-2], [0]], q:[[0], [1]], qb:[[-1], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}$ | -1 | 2*t^2.269 + t^2.597 + t^3. + t^3.329 + t^3.403 + t^4.06 + t^4.134 + t^4.463 + 3*t^4.537 + 3*t^4.866 + t^5.194 + t^5.269 + 2*t^5.597 + t^5.671 + t^5.926 - t^6. + 2*t^6.329 + t^6.403 + 2*t^6.657 + t^6.731 + 4*t^6.806 + t^7.06 + 3*t^7.134 + t^7.389 + 2*t^7.463 + t^7.537 + t^7.792 + t^7.866 + t^7.94 + t^8.12 + 2*t^8.194 - 2*t^8.269 + 2*t^8.523 - t^8.597 + 4*t^8.926 - t^4.134/y - (2*t^6.403)/y + t^7.537/y + (4*t^7.866)/y + (2*t^8.269)/y + (3*t^8.597)/y - t^8.671/y + t^8.926/y - t^4.134*y - 2*t^6.403*y + t^7.537*y + 4*t^7.866*y + 2*t^8.269*y + 3*t^8.597*y - t^8.671*y + t^8.926*y | (2*t^2.269)/g1^2 + g1^3*t^2.597 + t^3. + g1^5*t^3.329 + t^3.403/g1^3 + g1^7*t^4.06 + t^4.134/g1 + g1^4*t^4.463 + (3*t^4.537)/g1^4 + 3*g1*t^4.866 + g1^6*t^5.194 + t^5.269/g1^2 + 2*g1^3*t^5.597 + t^5.671/g1^5 + g1^8*t^5.926 - t^6. + 2*g1^5*t^6.329 + t^6.403/g1^3 + 2*g1^10*t^6.657 + g1^2*t^6.731 + (4*t^6.806)/g1^6 + g1^7*t^7.06 + (3*t^7.134)/g1 + g1^12*t^7.389 + 2*g1^4*t^7.463 + t^7.537/g1^4 + g1^9*t^7.792 + g1*t^7.866 + t^7.94/g1^7 + g1^14*t^8.12 + 2*g1^6*t^8.194 - (2*t^8.269)/g1^2 + 2*g1^11*t^8.523 - g1^3*t^8.597 + 4*g1^8*t^8.926 - t^4.134/(g1*y) - (2*t^6.403)/(g1^3*y) + t^7.537/(g1^4*y) + (4*g1*t^7.866)/y + (2*t^8.269)/(g1^2*y) + (3*g1^3*t^8.597)/y - t^8.671/(g1^5*y) + (g1^8*t^8.926)/y - (t^4.134*y)/g1 - (2*t^6.403*y)/g1^3 + (t^7.537*y)/g1^4 + 4*g1*t^7.866*y + (2*t^8.269*y)/g1^2 + 3*g1^3*t^8.597*y - (t^8.671*y)/g1^5 + g1^8*t^8.926*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 |
---|---|---|---|---|---|---|---|---|
46222 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$ | 0.5865 | 0.724 | 0.8101 | [M:[0.8, 1.0], q:[1.0, 0.6], qb:[0.4, 0.4], phi:[0.4]] | 3*t^2.4 + 2*t^3. + 2*t^3.6 + 2*t^4.2 + 7*t^4.8 + 4*t^5.4 + 4*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1173/2000, c: 181/250, M1: 4/5, M2: 1, q1: 1, q2: 3/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
45922 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ | 0.5957 | 0.7299 | 0.8162 | [M:[0.7645, 1.0], q:[0.9855, 0.6323], qb:[0.3677, 0.4855], phi:[0.3823]] | 2*t^2.294 + t^2.56 + t^3. + 2*t^3.353 + 2*t^4.06 + t^4.413 + 3*t^4.587 + 3*t^4.853 + t^5.119 + t^5.294 + t^5.56 + 2*t^5.647 + 2*t^5.913 - 2*t^6. - t^4.147/y - t^4.147*y | detail |