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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6299 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.6467 | 0.8195 | 0.7891 | [X:[1.2941], M:[1.1765, 0.7059, 1.0588, 0.8235, 1.1765, 0.7059, 0.8235, 0.8235], q:[0.4706, 0.3529], qb:[0.4706, 0.8235], phi:[0.4706]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 50835/78608, c: 32209/39304, X1: 22/17, M1: 20/17, M2: 12/17, M3: 18/17, M4: 14/17, M5: 20/17, M6: 12/17, M7: 14/17, M8: 14/17, q1: 8/17, q2: 6/17, qb1: 8/17, qb2: 14/17, phi1: 8/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}^{4}$ | ${}M_{5}M_{8}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}X_{1}$ | 0 | t^2.118 + 3*t^2.471 + t^2.824 + t^3.176 + t^3.529 + 3*t^3.882 + 4*t^4.235 + 2*t^4.588 + 6*t^4.941 + 6*t^5.294 + 3*t^5.647 + 10*t^6.353 + 12*t^6.706 + 5*t^7.059 + 8*t^7.412 + 12*t^7.765 + 9*t^8.118 + t^8.471 + 10*t^8.824 - t^4.412/y - t^6.529/y - t^6.882/y + (3*t^7.588)/y + (5*t^7.941)/y + (5*t^8.294)/y + (3*t^8.647)/y - t^4.412*y - t^6.529*y - t^6.882*y + 3*t^7.588*y + 5*t^7.941*y + 5*t^8.294*y + 3*t^8.647*y | t^2.118 + 3*t^2.471 + t^2.824 + t^3.176 + t^3.529 + 3*t^3.882 + 4*t^4.235 + 2*t^4.588 + 6*t^4.941 + 6*t^5.294 + 3*t^5.647 + 10*t^6.353 + 12*t^6.706 + 5*t^7.059 + 8*t^7.412 + 12*t^7.765 + 9*t^8.118 + t^8.471 + 10*t^8.824 - t^4.412/y - t^6.529/y - t^6.882/y + (3*t^7.588)/y + (5*t^7.941)/y + (5*t^8.294)/y + (3*t^8.647)/y - t^4.412*y - t^6.529*y - t^6.882*y + 3*t^7.588*y + 5*t^7.941*y + 5*t^8.294*y + 3*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4710 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6673 | 0.8396 | 0.7948 | [X:[1.2683], M:[1.2195, 0.7317, 1.0244, 0.9269, 1.0731, 0.8782, 0.7805, 0.7805], q:[0.4146, 0.3659], qb:[0.561, 0.7072], phi:[0.4878]] | 2*t^2.341 + t^2.634 + t^2.781 + t^2.927 + t^3.073 + t^3.219 + 2*t^3.805 + t^3.951 + t^4.244 + t^4.39 + 4*t^4.683 + t^4.829 + t^4.83 + t^4.976 + t^5.122 + 3*t^5.268 + t^5.269 + t^5.414 + t^5.415 + 2*t^5.561 + t^5.707 + 2*t^5.708 + 2*t^5.854 - 2*t^6. - t^4.463/y - t^4.463*y | detail |