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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55976 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ | 0.5942 | 0.7192 | 0.8262 | [X:[1.4286], M:[1.0714, 1.1429, 0.9286, 0.5714, 1.0], q:[0.2857, 0.6429], qb:[0.5714, 0.7857], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3261/5488, c: 3947/5488, X1: 10/7, M1: 15/14, M2: 8/7, M3: 13/14, M4: 4/7, M5: 1, q1: 2/7, q2: 9/14, qb1: 4/7, qb2: 11/14, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | 0 | t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.643 + t^3.857 + 2*t^4.071 + t^4.286 + t^4.714 + t^5.143 + t^5.357 + 2*t^5.571 + t^6.214 + t^6.429 + 2*t^6.643 + 3*t^6.857 + 2*t^7.071 + 2*t^7.286 + t^7.5 + 4*t^7.714 + 2*t^7.929 + 3*t^8.143 + 2*t^8.357 + t^8.571 - t^8.786 - t^4.286/y + t^8.357/y + t^8.571/y + (2*t^8.786)/y - t^4.286*y + t^8.357*y + t^8.571*y + 2*t^8.786*y | t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.643 + t^3.857 + 2*t^4.071 + t^4.286 + t^4.714 + t^5.143 + t^5.357 + 2*t^5.571 + t^6.214 + t^6.429 + 2*t^6.643 + 3*t^6.857 + 2*t^7.071 + 2*t^7.286 + t^7.5 + 4*t^7.714 + 2*t^7.929 + 3*t^8.143 + 2*t^8.357 + t^8.571 - t^8.786 - t^4.286/y + t^8.357/y + t^8.571/y + (2*t^8.786)/y - t^4.286*y + t^8.357*y + t^8.571*y + 2*t^8.786*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 |
---|---|---|---|---|---|---|---|---|
57755 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{1}M_{6}$ | 0.6008 | 0.7303 | 0.8227 | [X:[1.4286], M:[1.0714, 1.1429, 0.9286, 0.5714, 1.0, 0.9286], q:[0.2857, 0.6429], qb:[0.5714, 0.7857], phi:[0.4286]] | t^2.571 + 2*t^2.786 + t^3. + t^3.429 + t^3.643 + t^3.857 + 2*t^4.071 + t^4.286 + t^4.714 + t^5.143 + 2*t^5.357 + 4*t^5.571 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 52755/87808, c: 64123/87808, X1: 10/7, M1: 15/14, M2: 8/7, M3: 13/14, M4: 4/7, M5: 1, M6: 13/14, q1: 2/7, q2: 9/14, qb1: 4/7, qb2: 11/14, phi1: 3/7} |
57754 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{3}M_{6}$ | 0.5876 | 0.7081 | 0.8298 | [X:[1.4286], M:[1.0714, 1.1429, 0.9286, 0.5714, 1.0, 1.0714], q:[0.2857, 0.6429], qb:[0.5714, 0.7857], phi:[0.4286]] | t^2.571 + t^3. + 2*t^3.214 + t^3.429 + t^3.643 + t^3.857 + 2*t^4.071 + t^4.286 + t^4.714 + t^5.143 + t^5.571 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 1053/1792, c: 1269/1792, X1: 10/7, M1: 15/14, M2: 8/7, M3: 13/14, M4: 4/7, M5: 1, M6: 15/14, q1: 2/7, q2: 9/14, qb1: 4/7, qb2: 11/14, phi1: 3/7} |
57759 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6144 | 0.7573 | 0.8114 | [X:[1.4286], M:[1.0714, 1.1429, 0.9286, 0.5714, 1.0, 0.7143], q:[0.2857, 0.6429], qb:[0.5714, 0.7857], phi:[0.4286]] | t^2.143 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.643 + 2*t^4.071 + 2*t^4.286 + 2*t^4.714 + t^4.929 + 2*t^5.143 + 2*t^5.357 + 3*t^5.571 + t^5.786 - t^4.286/y - t^4.286*y | detail | {a: 843/1372, c: 1039/1372, X1: 10/7, M1: 15/14, M2: 8/7, M3: 13/14, M4: 4/7, M5: 1, M6: 5/7, q1: 2/7, q2: 9/14, qb1: 4/7, 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 |
---|---|---|---|---|---|---|---|---|---|
48238 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6768 | 0.8462 | 0.7998 | [M:[1.1595, 1.0724, 0.8405, 0.7827, 0.7535], q:[0.3914, 0.4492], qb:[0.5362, 0.7681], phi:[0.4638]] | t^2.26 + t^2.348 + t^2.522 + t^2.783 + t^2.956 + t^3.217 + t^3.478 + 2*t^3.913 + t^4.086 + t^4.174 + t^4.348 + t^4.521 + 2*t^4.609 + t^4.696 + t^4.782 + t^4.87 + 2*t^5.043 + t^5.131 + t^5.217 + 2*t^5.304 + 2*t^5.478 + t^5.565 + 2*t^5.739 + t^5.912 - t^6. - t^4.391/y - t^4.391*y | detail |