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 |
---|---|---|---|---|---|---|---|---|---|
4688 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{3}^{2}$ | 0.5841 | 0.716 | 0.8157 | [X:[1.3333], M:[1.1111, 0.6667, 1.0, 0.7778, 1.2222, 0.8889, 1.1111], q:[0.5556, 0.3333], qb:[0.4444, 0.8889], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 757/1296, c: 58/81, X1: 4/3, M1: 10/9, M2: 2/3, M3: 1, M4: 7/9, M5: 11/9, M6: 8/9, M7: 10/9, q1: 5/9, q2: 1/3, qb1: 4/9, qb2: 8/9, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0 | t^2.333 + t^2.667 + t^3. + 2*t^3.333 + 2*t^3.667 + 3*t^4. + t^4.333 + t^4.667 + t^5. + 2*t^5.333 + t^5.667 + 3*t^6.333 + 6*t^6.667 + 4*t^7. + 4*t^7.333 + 4*t^7.667 + 5*t^8. + t^8.333 - t^4.333/y + t^8./y + t^8.333/y + (3*t^8.667)/y - t^4.333*y + t^8.*y + t^8.333*y + 3*t^8.667*y | t^2.333 + t^2.667 + t^3. + 2*t^3.333 + 2*t^3.667 + 3*t^4. + t^4.333 + t^4.667 + t^5. + 2*t^5.333 + t^5.667 + 3*t^6.333 + 6*t^6.667 + 4*t^7. + 4*t^7.333 + 4*t^7.667 + 5*t^8. + t^8.333 - t^4.333/y + t^8./y + t^8.333/y + (3*t^8.667)/y - t^4.333*y + t^8.*y + t^8.333*y + 3*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 |
---|---|---|---|---|---|---|---|---|
6244 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{8}$ | 0.5941 | 0.733 | 0.8105 | [X:[1.3333], M:[1.1111, 0.6667, 1.0, 0.7778, 1.2222, 0.8889, 1.1111, 0.8889], q:[0.5556, 0.3333], qb:[0.4444, 0.8889], phi:[0.4444]] | t^2.333 + 2*t^2.667 + t^3. + t^3.333 + 2*t^3.667 + 3*t^4. + t^4.333 + t^4.667 + 2*t^5. + 4*t^5.333 + t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 385/648, c: 475/648, X1: 4/3, M1: 10/9, M2: 2/3, M3: 1, M4: 7/9, M5: 11/9, M6: 8/9, M7: 10/9, M8: 8/9, q1: 5/9, q2: 1/3, qb1: 4/9, qb2: 8/9, phi1: 4/9} |
6243 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{3}^{2}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.5741 | 0.6991 | 0.8212 | [X:[1.3333], M:[1.1111, 0.6667, 1.0, 0.7778, 1.2222, 0.8889, 1.1111, 1.1111], q:[0.5556, 0.3333], qb:[0.4444, 0.8889], phi:[0.4444]] | t^2.333 + t^3. + 3*t^3.333 + 2*t^3.667 + 3*t^4. + t^4.333 + t^4.667 + t^5.333 + t^5.667 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 31/54, c: 151/216, X1: 4/3, M1: 10/9, M2: 2/3, M3: 1, M4: 7/9, M5: 11/9, M6: 8/9, M7: 10/9, M8: 10/9, q1: 5/9, q2: 1/3, qb1: 4/9, qb2: 8/9, 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 |
---|---|---|---|---|---|---|---|---|---|
2589 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{6}M_{7}$ | 0.6579 | 0.805 | 0.8173 | [X:[1.3333], M:[1.1111, 0.6667, 0.7581, 1.0197, 0.9803, 0.8889, 1.1111], q:[0.5556, 0.3333], qb:[0.6864, 0.647], phi:[0.4444]] | t^2.274 + t^2.667 + t^2.941 + t^3.059 + 2*t^3.333 + t^3.608 + 2*t^4. + t^4.274 + t^4.392 + t^4.548 + t^4.667 + t^4.941 + 2*t^5.215 + 2*t^5.333 + t^5.452 + 2*t^5.608 + t^5.882 - t^6. - t^4.333/y - t^4.333*y | detail |