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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1213 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}^{2}$ | 0.5734 | 0.7431 | 0.7717 | [M:[1.2857, 1.0, 0.7143, 0.7143, 0.7143], q:[0.7857, 0.2143], qb:[0.5, 0.7857], phi:[0.4286]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3147/5488, c: 2039/2744, M1: 9/7, M2: 1, M3: 5/7, M4: 5/7, M5: 5/7, q1: 11/14, q2: 3/14, qb1: 1/2, qb2: 11/14, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{3}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 1 | 3*t^2.143 + 2*t^2.571 + 2*t^3. + t^3.429 + 7*t^4.286 + 7*t^4.714 + 8*t^5.143 + 5*t^5.571 + t^6. + 10*t^6.429 + 12*t^6.857 + 17*t^7.286 + 12*t^7.714 + t^8.143 + 10*t^8.571 - t^4.286/y - (2*t^6.429)/y - t^6.857/y + (3*t^7.286)/y + (7*t^7.714)/y + (9*t^8.143)/y + (4*t^8.571)/y - t^4.286*y - 2*t^6.429*y - t^6.857*y + 3*t^7.286*y + 7*t^7.714*y + 9*t^8.143*y + 4*t^8.571*y | 3*t^2.143 + 2*t^2.571 + 2*t^3. + t^3.429 + 7*t^4.286 + 7*t^4.714 + 8*t^5.143 + 5*t^5.571 + t^6. + 10*t^6.429 + 12*t^6.857 + 17*t^7.286 + 12*t^7.714 + t^8.143 + 10*t^8.571 - t^4.286/y - (2*t^6.429)/y - t^6.857/y + (3*t^7.286)/y + (7*t^7.714)/y + (9*t^8.143)/y + (4*t^8.571)/y - t^4.286*y - 2*t^6.429*y - t^6.857*y + 3*t^7.286*y + 7*t^7.714*y + 9*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
739 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6477 | 0.8091 | 0.8005 | [M:[1.1874, 0.7706, 0.8126, 0.8126, 0.8126], q:[0.8021, 0.4273], qb:[0.3853, 0.8021], phi:[0.3958]] | t^2.312 + t^2.375 + 3*t^2.438 + t^3.499 + t^3.625 + t^3.688 + t^3.751 + t^4.624 + t^4.687 + 4*t^4.75 + 4*t^4.813 + 6*t^4.876 + t^5.811 + 2*t^5.937 - t^6. - t^4.187/y - t^4.187*y | detail |