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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5035 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.6836 | 0.8711 | 0.7848 | [M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.8235, 0.9412], q:[0.5294, 0.6471], qb:[0.2941, 0.6471], phi:[0.4706]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 53739/78608, c: 34239/39304, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 14/17, M7: 16/17, q1: 9/17, q2: 11/17, qb1: 5/17, qb2: 11/17, phi1: 8/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | -2 | t^2.118 + 3*t^2.471 + 3*t^2.824 + t^3.176 + t^3.882 + 3*t^4.235 + 4*t^4.588 + 9*t^4.941 + 12*t^5.294 + 7*t^5.647 - 2*t^6. + t^6.353 + 9*t^6.706 + 13*t^7.059 + 18*t^7.412 + 24*t^7.765 + 20*t^8.118 - 2*t^8.471 - 11*t^8.824 - t^4.412/y - t^6.529/y - (2*t^6.882)/y - t^7.235/y + (4*t^7.588)/y + (8*t^7.941)/y + (11*t^8.294)/y + (5*t^8.647)/y - t^4.412*y - t^6.529*y - 2*t^6.882*y - t^7.235*y + 4*t^7.588*y + 8*t^7.941*y + 11*t^8.294*y + 5*t^8.647*y | t^2.118 + 3*t^2.471 + 3*t^2.824 + t^3.176 + t^3.882 + 3*t^4.235 + 4*t^4.588 + 9*t^4.941 + 12*t^5.294 + 7*t^5.647 - 2*t^6. + t^6.353 + 9*t^6.706 + 13*t^7.059 + 18*t^7.412 + 24*t^7.765 + 20*t^8.118 - 2*t^8.471 - 11*t^8.824 - t^4.412/y - t^6.529/y - (2*t^6.882)/y - t^7.235/y + (4*t^7.588)/y + (8*t^7.941)/y + (11*t^8.294)/y + (5*t^8.647)/y - t^4.412*y - t^6.529*y - 2*t^6.882*y - t^7.235*y + 4*t^7.588*y + 8*t^7.941*y + 11*t^8.294*y + 5*t^8.647*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 |
---|---|---|---|---|---|---|---|---|
6629 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6686 | 0.8451 | 0.7912 | [M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.8235, 0.9412, 1.1765], q:[0.5294, 0.6471], qb:[0.2941, 0.6471], phi:[0.4706]] | t^2.118 + 2*t^2.471 + 3*t^2.824 + t^3.176 + t^3.529 + t^3.882 + 3*t^4.235 + 3*t^4.588 + 6*t^4.941 + 9*t^5.294 + 7*t^5.647 - t^4.412/y - t^4.412*y | detail | {a: 3285/4913, c: 4152/4913, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 14/17, M7: 16/17, M8: 20/17, q1: 9/17, q2: 11/17, qb1: 5/17, qb2: 11/17, phi1: 8/17} |
6631 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6891 | 0.8803 | 0.7828 | [M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.8235, 0.9412, 0.9412], q:[0.5294, 0.6471], qb:[0.2941, 0.6471], phi:[0.4706]] | t^2.118 + 3*t^2.471 + 4*t^2.824 + t^3.882 + 3*t^4.235 + 4*t^4.588 + 10*t^4.941 + 14*t^5.294 + 8*t^5.647 - 5*t^6. - t^4.412/y - t^4.412*y | detail | {a: 6771/9826, c: 17299/19652, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 14/17, M7: 16/17, M8: 16/17, q1: 9/17, q2: 11/17, qb1: 5/17, qb2: 11/17, phi1: 8/17} |
6627 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{4}M_{8}$ | 0.6632 | 0.8323 | 0.7968 | [M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.8235, 0.9412, 1.2941], q:[0.5294, 0.6471], qb:[0.2941, 0.6471], phi:[0.4706]] | 3*t^2.471 + 3*t^2.824 + t^3.176 + 2*t^3.882 + 2*t^4.235 + t^4.588 + 6*t^4.941 + 11*t^5.294 + 7*t^5.647 - 3*t^6. - t^4.412/y - t^4.412*y | detail | {a: 26067/39304, c: 16357/19652, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 14/17, M7: 16/17, M8: 22/17, q1: 9/17, q2: 11/17, qb1: 5/17, qb2: 11/17, phi1: 8/17} |
6632 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.7041 | 0.9099 | 0.7737 | [M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.8235, 0.9412, 0.7059], q:[0.5294, 0.6471], qb:[0.2941, 0.6471], phi:[0.4706]] | 2*t^2.118 + 3*t^2.471 + 3*t^2.824 + t^3.176 + 5*t^4.235 + 7*t^4.588 + 12*t^4.941 + 13*t^5.294 + 7*t^5.647 - 3*t^6. - t^4.412/y - t^4.412*y | detail | {a: 3459/4913, c: 8941/9826, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 14/17, M7: 16/17, M8: 12/17, q1: 9/17, q2: 11/17, qb1: 5/17, qb2: 11/17, phi1: 8/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
3135 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7286 | 0.9161 | 0.7953 | [M:[0.9262, 1.0246, 1.0738, 0.8769, 0.9262, 0.9262, 0.6846], q:[0.5123, 0.5615], qb:[0.4139, 0.5615], phi:[0.4877]] | t^2.054 + t^2.631 + 3*t^2.778 + 2*t^2.926 + t^3.074 + t^4.108 + t^4.242 + 2*t^4.389 + t^4.537 + 3*t^4.685 + 6*t^4.832 + 2*t^4.98 + t^5.128 + t^5.262 + 3*t^5.409 + 6*t^5.557 + 6*t^5.705 + 4*t^5.852 - 4*t^6. - t^4.463/y - t^4.463*y | detail |