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 |
---|---|---|---|---|---|---|---|---|---|
4433 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{2}$ | 0.5911 | 0.7404 | 0.7983 | [X:[1.6667, 1.3333], M:[0.3333, 1.2222, 0.8333, 0.6667, 0.7778, 1.0, 0.7222], q:[0.8056, 0.8611], qb:[0.3056, 0.4722], phi:[0.3889]] | [X:[[0], [0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 12257/20736, c: 15353/20736, X1: 5/3, X2: 4/3, M1: 1/3, M2: 11/9, M3: 5/6, M4: 2/3, M5: 7/9, M6: 1, M7: 13/18, q1: 29/36, q2: 31/36, qb1: 11/36, qb2: 17/36, phi1: 7/18} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.167 + 2*t^2.333 + t^2.5 + t^3. + t^3.333 + t^3.5 + 2*t^4. + 2*t^4.5 + 5*t^4.667 + t^4.833 + 2*t^5. + 2*t^5.167 + 2*t^5.333 + 2*t^5.667 + 2*t^5.833 - 2*t^6. + t^6.167 + 6*t^6.333 + 2*t^6.5 - t^6.667 + 5*t^6.833 + 7*t^7. + 3*t^7.333 + 6*t^7.5 + t^7.667 - t^7.833 + 7*t^8. + t^8.167 - 6*t^8.333 + t^8.5 + 10*t^8.667 - t^8.833 - t^4.167/y - t^6.333/y - t^6.5/y - t^6.667/y + (2*t^7.5)/y + (3*t^7.667)/y + (3*t^7.833)/y + t^8./y + t^8.167/y + (2*t^8.333)/y + t^8.5/y + (2*t^8.667)/y + t^8.833/y - t^4.167*y - t^6.333*y - t^6.5*y - t^6.667*y + 2*t^7.5*y + 3*t^7.667*y + 3*t^7.833*y + t^8.*y + t^8.167*y + 2*t^8.333*y + t^8.5*y + 2*t^8.667*y + t^8.833*y | t^2.167 + 2*t^2.333 + t^2.5 + t^3. + t^3.333 + t^3.5 + 2*t^4. + 2*t^4.5 + 5*t^4.667 + t^4.833 + 2*t^5. + 2*t^5.167 + 2*t^5.333 + 2*t^5.667 + 2*t^5.833 - 2*t^6. + t^6.167 + 6*t^6.333 + 2*t^6.5 - t^6.667 + 5*t^6.833 + 7*t^7. + 3*t^7.333 + 6*t^7.5 + t^7.667 - t^7.833 + 7*t^8. + t^8.167 - 6*t^8.333 + t^8.5 + 10*t^8.667 - t^8.833 - t^4.167/y - t^6.333/y - t^6.5/y - t^6.667/y + (2*t^7.5)/y + (3*t^7.667)/y + (3*t^7.833)/y + t^8./y + t^8.167/y + (2*t^8.333)/y + t^8.5/y + (2*t^8.667)/y + t^8.833/y - t^4.167*y - t^6.333*y - t^6.5*y - t^6.667*y + 2*t^7.5*y + 3*t^7.667*y + 3*t^7.833*y + t^8.*y + t^8.167*y + 2*t^8.333*y + t^8.5*y + 2*t^8.667*y + t^8.833*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 |
---|---|---|---|---|---|---|---|---|
5944 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6054 | 0.7651 | 0.7913 | [X:[1.6667, 1.3333], M:[0.3333, 1.2222, 0.8333, 0.6667, 0.7778, 1.0, 0.7222, 0.8333], q:[0.8056, 0.8611], qb:[0.3056, 0.4722], phi:[0.3889]] | t^2.167 + 2*t^2.333 + 2*t^2.5 + t^3. + t^3.333 + 2*t^4. + 2*t^4.5 + 6*t^4.667 + 3*t^4.833 + 4*t^5. + 2*t^5.167 + 2*t^5.333 + t^5.5 + t^5.667 + t^5.833 - 3*t^6. - t^4.167/y - t^4.167*y | detail | {a: 6277/10368, c: 7933/10368, X1: 5/3, X2: 4/3, M1: 1/3, M2: 11/9, M3: 5/6, M4: 2/3, M5: 7/9, M6: 1, M7: 13/18, M8: 5/6, q1: 29/36, q2: 31/36, qb1: 11/36, qb2: 17/36, phi1: 7/18} |
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 |
---|---|---|---|---|---|---|---|---|---|
2398 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.669 | 0.8463 | 0.7905 | [X:[1.5691], M:[0.4309, 1.1897, 0.7845, 0.8619, 0.8103, 0.7072, 0.8361], q:[0.7974, 0.7716], qb:[0.4438, 0.3665], phi:[0.4052]] | t^2.122 + t^2.354 + 2*t^2.431 + t^2.508 + t^2.586 + t^3.414 + t^3.646 + t^3.724 + t^4.243 + t^4.475 + 2*t^4.552 + 2*t^4.63 + 3*t^4.707 + t^4.785 + 5*t^4.862 + 3*t^4.939 + 2*t^5.017 + t^5.094 + t^5.171 + t^5.536 + t^5.768 + 4*t^5.845 - 2*t^6. - t^4.215/y - t^4.215*y | detail | {a: 131507/196566, c: 332699/393132, X1: 284/181, M1: 78/181, M2: 646/543, M3: 142/181, M4: 156/181, M5: 440/543, M6: 128/181, M7: 454/543, q1: 433/543, q2: 419/543, qb1: 241/543, qb2: 199/543, phi1: 220/543} |