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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6213 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ | 0.686 | 0.8804 | 0.7791 | [M:[1.0, 0.7778, 1.0, 0.7778, 1.2222, 0.7778, 0.7778, 0.7778], q:[0.6111, 0.3889], qb:[0.3889, 0.8333], phi:[0.4444]] | [M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 889/1296, c: 1141/1296, M1: 1, M2: 7/9, M3: 1, M4: 7/9, M5: 11/9, M6: 7/9, M7: 7/9, M8: 7/9, q1: 11/18, q2: 7/18, qb1: 7/18, qb2: 5/6, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}M_{1}M_{3}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0 | 5*t^2.333 + t^2.667 + 2*t^3. + t^3.667 + 3*t^4.333 + 13*t^4.667 + 8*t^5. + 8*t^5.333 + 3*t^5.667 + 2*t^6.333 + 8*t^6.667 + 26*t^7. + 24*t^7.333 + 19*t^7.667 + 12*t^8. - 12*t^8.333 + 6*t^8.667 - t^4.333/y - (4*t^6.667)/y - t^7./y + (11*t^7.667)/y + (9*t^8.)/y + (10*t^8.333)/y + (2*t^8.667)/y - t^4.333*y - 4*t^6.667*y - t^7.*y + 11*t^7.667*y + 9*t^8.*y + 10*t^8.333*y + 2*t^8.667*y | 5*t^2.333 + t^2.667 + 2*t^3. + t^3.667 + 3*t^4.333 + 13*t^4.667 + 8*t^5. + 8*t^5.333 + 3*t^5.667 + 2*t^6.333 + 8*t^6.667 + 26*t^7. + 24*t^7.333 + 19*t^7.667 + 12*t^8. - 12*t^8.333 + 6*t^8.667 - t^4.333/y - (4*t^6.667)/y - t^7./y + (11*t^7.667)/y + (9*t^8.)/y + (10*t^8.333)/y + (2*t^8.667)/y - t^4.333*y - 4*t^6.667*y - t^7.*y + 11*t^7.667*y + 9*t^8.*y + 10*t^8.333*y + 2*t^8.667*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 |
---|---|---|---|---|---|---|---|---|---|
4668 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.7156 | 0.9125 | 0.7842 | [M:[1.0, 0.699, 0.8227, 0.8763, 1.1237, 0.8763, 0.8763, 0.699], q:[0.6505, 0.3495], qb:[0.5268, 0.7742], phi:[0.4247]] | 2*t^2.097 + t^2.468 + t^2.548 + 3*t^2.629 + t^3. + 3*t^4.194 + 2*t^4.274 + t^4.435 + 2*t^4.565 + 3*t^4.645 + 5*t^4.726 + t^4.806 + t^4.936 + t^5.017 + 5*t^5.097 + 5*t^5.177 + 5*t^5.258 + 2*t^5.548 + t^5.629 + t^5.92 - 4*t^6. - t^4.274/y - t^4.274*y | detail |