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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4297 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.5649 | 0.7056 | 0.8007 | [X:[1.4167], M:[0.9167, 0.5833, 1.0833, 1.0, 1.1667, 0.75, 0.9167], q:[0.8333, 0.75], qb:[0.25, 0.5], phi:[0.4167]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1157/2048, c: 1445/2048, X1: 17/12, M1: 11/12, M2: 7/12, M3: 13/12, M4: 1, M5: 7/6, M6: 3/4, M7: 11/12, q1: 5/6, q2: 3/4, qb1: 1/4, qb2: 1/2, phi1: 5/12} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 2*t^2.25 + 2*t^2.75 + t^3. + 2*t^3.5 + t^4. + t^4.25 + 3*t^4.5 + t^4.75 + 4*t^5. + t^5.25 + 2*t^5.5 + 5*t^5.75 - 2*t^6. + 4*t^6.25 + t^6.5 + 3*t^6.75 + 4*t^7. + 4*t^7.25 + 2*t^7.5 + 4*t^7.75 + 5*t^8. - 2*t^8.25 + 8*t^8.5 - 4*t^8.75 - t^4.25/y - t^6.5/y - t^7./y + (2*t^7.5)/y + (5*t^8.)/y + (2*t^8.25)/y + t^8.5/y + (5*t^8.75)/y - t^4.25*y - t^6.5*y - t^7.*y + 2*t^7.5*y + 5*t^8.*y + 2*t^8.25*y + t^8.5*y + 5*t^8.75*y | 2*t^2.25 + 2*t^2.75 + t^3. + 2*t^3.5 + t^4. + t^4.25 + 3*t^4.5 + t^4.75 + 4*t^5. + t^5.25 + 2*t^5.5 + 5*t^5.75 - 2*t^6. + 4*t^6.25 + t^6.5 + 3*t^6.75 + 4*t^7. + 4*t^7.25 + 2*t^7.5 + 4*t^7.75 + 5*t^8. - 2*t^8.25 + 8*t^8.5 - 4*t^8.75 - t^4.25/y - t^6.5/y - t^7./y + (2*t^7.5)/y + (5*t^8.)/y + (2*t^8.25)/y + t^8.5/y + (5*t^8.75)/y - t^4.25*y - t^6.5*y - t^7.*y + 2*t^7.5*y + 5*t^8.*y + 2*t^8.25*y + t^8.5*y + 5*t^8.75*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 |
---|---|---|---|---|---|---|---|---|---|
2286 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.5573 | 0.6927 | 0.8045 | [X:[1.4167], M:[0.9167, 0.5833, 1.0833, 1.0, 1.1667, 0.75], q:[0.8333, 0.75], qb:[0.25, 0.5], phi:[0.4167]] | 2*t^2.25 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + t^4. + t^4.25 + 3*t^4.5 + t^4.75 + 2*t^5. + t^5.25 + 2*t^5.5 + 4*t^5.75 - t^6. - t^4.25/y - t^4.25*y | detail | {a: 107/192, c: 133/192, X1: 17/12, M1: 11/12, M2: 7/12, M3: 13/12, M4: 1, M5: 7/6, M6: 3/4, q1: 5/6, q2: 3/4, qb1: 1/4, qb2: 1/2, phi1: 5/12} |