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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4508 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}^{2}$ | 0.6327 | 0.7855 | 0.8055 | [M:[0.5556, 1.2222, 0.7778, 1.0, 1.0, 0.7778, 1.4444], q:[0.8333, 0.6111], qb:[0.3889, 0.3889], phi:[0.4444]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 205/324, c: 509/648, M1: 5/9, M2: 11/9, M3: 7/9, M4: 1, M5: 1, M6: 7/9, M7: 13/9, q1: 5/6, q2: 11/18, qb1: 7/18, qb2: 7/18, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$ | ${}M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 3 | 2*t^2.333 + t^2.667 + 2*t^3. + 4*t^3.667 + 3*t^4.333 + t^4.667 + 5*t^5. + 2*t^5.333 + 3*t^5.667 + 3*t^6. + 5*t^6.333 + 5*t^6.667 + t^7. + 12*t^7.333 + t^7.667 + 12*t^8. - 6*t^8.333 + 15*t^8.667 - t^4.333/y - t^6.667/y - t^7./y + (2*t^7.667)/y + (3*t^8.)/y + (4*t^8.333)/y + (2*t^8.667)/y - t^4.333*y - t^6.667*y - t^7.*y + 2*t^7.667*y + 3*t^8.*y + 4*t^8.333*y + 2*t^8.667*y | 2*t^2.333 + t^2.667 + 2*t^3. + 4*t^3.667 + 3*t^4.333 + t^4.667 + 5*t^5. + 2*t^5.333 + 3*t^5.667 + 3*t^6. + 5*t^6.333 + 5*t^6.667 + t^7. + 12*t^7.333 + t^7.667 + 12*t^8. - 6*t^8.333 + 15*t^8.667 - t^4.333/y - t^6.667/y - t^7./y + (2*t^7.667)/y + (3*t^8.)/y + (4*t^8.333)/y + (2*t^8.667)/y - t^4.333*y - t^6.667*y - t^7.*y + 2*t^7.667*y + 3*t^8.*y + 4*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 |
---|---|---|---|---|---|---|---|---|---|
2463 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.7157 | 0.8835 | 0.8101 | [M:[0.7951, 0.9827, 1.0173, 0.7605, 1.0, 0.7778, 1.2049], q:[0.5938, 0.6111], qb:[0.3889, 0.6284], phi:[0.4444]] | t^2.282 + t^2.333 + t^2.667 + t^2.948 + t^3. + t^3.052 + t^3.615 + t^3.667 + t^4.282 + t^4.333 + t^4.385 + t^4.563 + t^4.615 + t^4.667 + t^4.896 + 2*t^4.948 + 3*t^5. + t^5.052 + t^5.104 + t^5.23 + t^5.282 + 2*t^5.333 + t^5.615 + t^5.667 + t^5.718 + t^5.896 + t^5.948 - t^6. - t^4.333/y - t^4.333*y | detail |