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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6236 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{8}$ | 0.6026 | 0.7828 | 0.7699 | [X:[1.1765], M:[1.0588, 0.8235, 1.1765, 0.7059, 1.2941, 0.7059, 0.7059, 0.8235], q:[0.5294, 0.4118], qb:[0.2941, 0.8824], phi:[0.4706]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 47373/78608, c: 30767/39304, X1: 20/17, M1: 18/17, M2: 14/17, M3: 20/17, M4: 12/17, M5: 22/17, M6: 12/17, M7: 12/17, M8: 14/17, q1: 9/17, q2: 7/17, qb1: 5/17, qb2: 15/17, phi1: 8/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{8}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}X_{1}$, ${ }M_{6}X_{1}$, ${ }M_{7}X_{1}$ | ${}M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{8}X_{1}$ | 1 | 3*t^2.118 + t^2.471 + t^2.824 + 2*t^3.176 + 2*t^3.529 + t^3.882 + 7*t^4.235 + 3*t^4.588 + 4*t^4.941 + 7*t^5.294 + 7*t^5.647 + t^6. + 13*t^6.353 + 10*t^6.706 + 9*t^7.059 + 12*t^7.412 + 12*t^7.765 + t^8.118 + 19*t^8.471 + 14*t^8.824 - t^4.412/y - (2*t^6.529)/y + (3*t^7.235)/y + (3*t^7.588)/y + (3*t^7.941)/y + (9*t^8.294)/y + (5*t^8.647)/y - t^4.412*y - 2*t^6.529*y + 3*t^7.235*y + 3*t^7.588*y + 3*t^7.941*y + 9*t^8.294*y + 5*t^8.647*y | 3*t^2.118 + t^2.471 + t^2.824 + 2*t^3.176 + 2*t^3.529 + t^3.882 + 7*t^4.235 + 3*t^4.588 + 4*t^4.941 + 7*t^5.294 + 7*t^5.647 + t^6. + 13*t^6.353 + 10*t^6.706 + 9*t^7.059 + 12*t^7.412 + 12*t^7.765 + t^8.118 + 19*t^8.471 + 14*t^8.824 - t^4.412/y - (2*t^6.529)/y + (3*t^7.235)/y + (3*t^7.588)/y + (3*t^7.941)/y + (9*t^8.294)/y + (5*t^8.647)/y - t^4.412*y - 2*t^6.529*y + 3*t^7.235*y + 3*t^7.588*y + 3*t^7.941*y + 9*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4659 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6774 | 0.8516 | 0.7954 | [X:[1.3193], M:[1.1064, 0.6807, 0.9147, 0.8725, 1.1275, 0.8725, 0.8725, 0.6807], q:[0.5532, 0.3404], qb:[0.5321, 0.7871], phi:[0.4468]] | t^2.042 + 3*t^2.617 + t^2.681 + t^2.744 + t^3.319 + t^3.958 + 2*t^4.021 + t^4.084 + t^4.533 + t^4.596 + 3*t^4.66 + 2*t^4.723 + t^4.786 + 5*t^5.235 + 3*t^5.298 + 5*t^5.361 + t^5.488 + 2*t^5.937 - 3*t^6. - t^4.34/y - t^4.34*y | detail |