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 |
---|---|---|---|---|---|---|---|---|---|
817 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.564 | 0.7029 | 0.8024 | [M:[1.0, 1.1111, 0.7778, 1.1111], q:[0.7778, 0.2222], qb:[0.6667, 0.5556], phi:[0.4444]] | [M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 731/1296, c: 911/1296, M1: 1, M2: 10/9, M3: 7/9, M4: 10/9, q1: 7/9, q2: 2/9, qb1: 2/3, qb2: 5/9, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$ | ${}M_{4}q_{2}\tilde{q}_{1}$ | 0 | 2*t^2.333 + t^2.667 + t^3. + 2*t^3.333 + t^3.667 + 2*t^4. + t^4.333 + 3*t^4.667 + 2*t^5. + 4*t^5.333 + 3*t^5.667 + 3*t^6.333 + 4*t^6.667 + 4*t^7. + 3*t^7.333 + 5*t^7.667 + 7*t^8. + 3*t^8.667 - t^4.333/y - t^6.667/y + t^7./y + (3*t^8.)/y + (2*t^8.333)/y + (5*t^8.667)/y - t^4.333*y - t^6.667*y + t^7.*y + 3*t^8.*y + 2*t^8.333*y + 5*t^8.667*y | 2*t^2.333 + t^2.667 + t^3. + 2*t^3.333 + t^3.667 + 2*t^4. + t^4.333 + 3*t^4.667 + 2*t^5. + 4*t^5.333 + 3*t^5.667 + 3*t^6.333 + 4*t^6.667 + 4*t^7. + 3*t^7.333 + 5*t^7.667 + 7*t^8. + 3*t^8.667 - t^4.333/y - t^6.667/y + t^7./y + (3*t^8.)/y + (2*t^8.333)/y + (5*t^8.667)/y - t^4.333*y - t^6.667*y + t^7.*y + 3*t^8.*y + 2*t^8.333*y + 5*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 |
---|---|---|---|---|---|---|---|---|
1295 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.5818 | 0.7346 | 0.792 | [M:[1.0, 1.1111, 0.7778, 1.1111, 0.7778], q:[0.7778, 0.2222], qb:[0.6667, 0.5556], phi:[0.4444]] | 3*t^2.333 + t^2.667 + t^3. + 2*t^3.333 + 2*t^4. + t^4.333 + 6*t^4.667 + 3*t^5. + 5*t^5.333 + 5*t^5.667 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 377/648, c: 119/162, M1: 1, M2: 10/9, M3: 7/9, M4: 10/9, M5: 7/9, q1: 7/9, q2: 2/9, qb1: 2/3, qb2: 5/9, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
524 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0.5648 | 0.7053 | 0.8008 | [M:[1.0, 1.1009, 0.7982, 1.1009], q:[0.7752, 0.2248], qb:[0.6743, 0.5275], phi:[0.4495]] | t^2.257 + t^2.394 + t^2.697 + t^3. + 2*t^3.303 + t^3.606 + t^3.908 + t^4.046 + t^4.349 + 2*t^4.514 + t^4.789 + 2*t^4.954 + t^5.257 + 3*t^5.394 + t^5.56 + 2*t^5.697 + t^5.862 - t^6. - t^4.349/y - t^4.349*y | detail |