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 |
---|---|---|---|---|---|---|---|---|---|
1008 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.5507 | 0.6673 | 0.8252 | [X:[1.4667], M:[0.9333, 0.5333, 1.0667, 0.9333, 1.2], q:[0.8, 0.8], qb:[0.2667, 0.5333], phi:[0.4]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 413/750, c: 1001/1500, X1: 22/15, M1: 14/15, M2: 8/15, M3: 16/15, M4: 14/15, M5: 6/5, q1: 4/5, q2: 4/5, qb1: 4/15, qb2: 8/15, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}q_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.4 + 2*t^2.8 + t^3.2 + 2*t^3.6 + 2*t^4. + t^4.4 + 2*t^4.8 + t^5.2 + 2*t^5.6 + t^6. + 3*t^6.4 + 2*t^6.8 + 4*t^7.2 + 3*t^7.6 + 2*t^8. + 3*t^8.4 - t^4.2/y - t^7./y + t^7.4/y + (2*t^8.2)/y + (2*t^8.6)/y - t^4.2*y - t^7.*y + t^7.4*y + 2*t^8.2*y + 2*t^8.6*y | t^2.4 + 2*t^2.8 + t^3.2 + 2*t^3.6 + 2*t^4. + t^4.4 + 2*t^4.8 + t^5.2 + 2*t^5.6 + t^6. + 3*t^6.4 + 2*t^6.8 + 4*t^7.2 + 3*t^7.6 + 2*t^8. + 3*t^8.4 - t^4.2/y - t^7./y + t^7.4/y + (2*t^8.2)/y + (2*t^8.6)/y - t^4.2*y - t^7.*y + t^7.4*y + 2*t^8.2*y + 2*t^8.6*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 |
---|---|---|---|---|---|---|---|---|
1579 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.5568 | 0.6777 | 0.8217 | [X:[1.4667], M:[0.9333, 0.5333, 1.0667, 0.9333, 1.2, 0.9333], q:[0.8, 0.8], qb:[0.2667, 0.5333], phi:[0.4]] | t^2.4 + 3*t^2.8 + 2*t^3.6 + 2*t^4. + t^4.4 + 2*t^4.8 + 2*t^5.2 + 4*t^5.6 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 3341/6000, c: 2033/3000, X1: 22/15, M1: 14/15, M2: 8/15, M3: 16/15, M4: 14/15, M5: 6/5, M6: 14/15, q1: 4/5, q2: 4/5, qb1: 4/15, qb2: 8/15, 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 |
---|---|---|---|---|---|---|---|---|---|
629 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 0.5672 | 0.6963 | 0.8145 | [X:[1.4667], M:[0.9333, 0.5333, 1.0667, 0.9333], q:[0.8, 0.8], qb:[0.2667, 0.5333], phi:[0.4]] | 2*t^2.4 + 2*t^2.8 + t^3.2 + t^3.6 + 2*t^4. + t^4.4 + 4*t^4.8 + 3*t^5.2 + 3*t^5.6 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 3403/6000, c: 2089/3000, X1: 22/15, M1: 14/15, M2: 8/15, M3: 16/15, M4: 14/15, q1: 4/5, q2: 4/5, qb1: 4/15, qb2: 8/15, phi1: 2/5} |