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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6315 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}M_{8}$ | 0.5522 | 0.7054 | 0.7828 | [M:[0.7742, 1.0323, 1.0968, 0.7097, 1.2903, 0.9032, 1.1613, 0.8387], q:[0.7097, 0.5161], qb:[0.1935, 0.7742], phi:[0.4516]] | [M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 65805/119164, c: 21016/29791, M1: 24/31, M2: 32/31, M3: 34/31, M4: 22/31, M5: 40/31, M6: 28/31, M7: 36/31, M8: 26/31, q1: 22/31, q2: 16/31, qb1: 6/31, qb2: 24/31, phi1: 14/31} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{8}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.129 + t^2.323 + t^2.516 + 2*t^2.71 + t^3.097 + t^3.484 + t^3.871 + t^4.065 + t^4.258 + 2*t^4.452 + 2*t^4.645 + 3*t^4.839 + 3*t^5.032 + 3*t^5.226 + 3*t^5.419 + 2*t^5.613 + t^5.806 - t^6. + 3*t^6.194 + t^6.387 + 3*t^6.581 + 2*t^6.774 + 4*t^6.968 + 5*t^7.161 + 3*t^7.355 + 5*t^7.548 + 6*t^7.742 + 4*t^7.935 + 3*t^8.129 + 2*t^8.323 - t^8.516 - t^8.71 + 3*t^8.903 - t^4.355/y - t^6.677/y - t^7.065/y + t^7.258/y + (2*t^7.645)/y + (3*t^7.839)/y + (3*t^8.032)/y + (3*t^8.226)/y + (2*t^8.419)/y + (2*t^8.613)/y + (3*t^8.806)/y - t^4.355*y - t^6.677*y - t^7.065*y + t^7.258*y + 2*t^7.645*y + 3*t^7.839*y + 3*t^8.032*y + 3*t^8.226*y + 2*t^8.419*y + 2*t^8.613*y + 3*t^8.806*y | t^2.129 + t^2.323 + t^2.516 + 2*t^2.71 + t^3.097 + t^3.484 + t^3.871 + t^4.065 + t^4.258 + 2*t^4.452 + 2*t^4.645 + 3*t^4.839 + 3*t^5.032 + 3*t^5.226 + 3*t^5.419 + 2*t^5.613 + t^5.806 - t^6. + 3*t^6.194 + t^6.387 + 3*t^6.581 + 2*t^6.774 + 4*t^6.968 + 5*t^7.161 + 3*t^7.355 + 5*t^7.548 + 6*t^7.742 + 4*t^7.935 + 3*t^8.129 + 2*t^8.323 - t^8.516 - t^8.71 + 3*t^8.903 - t^4.355/y - t^6.677/y - t^7.065/y + t^7.258/y + (2*t^7.645)/y + (3*t^7.839)/y + (3*t^8.032)/y + (3*t^8.226)/y + (2*t^8.419)/y + (2*t^8.613)/y + (3*t^8.806)/y - t^4.355*y - t^6.677*y - t^7.065*y + t^7.258*y + 2*t^7.645*y + 3*t^7.839*y + 3*t^8.032*y + 3*t^8.226*y + 2*t^8.419*y + 2*t^8.613*y + 3*t^8.806*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 |
---|---|---|---|---|---|---|---|---|---|
4712 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6954 | 0.8893 | 0.7819 | [M:[1.0795, 0.8084, 1.0561, 0.8318, 1.1682, 0.9439, 0.6729, 0.6963], q:[0.5163, 0.4042], qb:[0.4276, 0.764], phi:[0.472]] | t^2.019 + t^2.089 + t^2.425 + t^2.495 + 2*t^2.832 + t^3.238 + t^3.505 + 2*t^3.841 + t^4.037 + t^4.107 + 2*t^4.178 + t^4.248 + t^4.444 + 3*t^4.514 + t^4.584 + 3*t^4.85 + 3*t^4.921 + t^4.991 + 3*t^5.257 + 3*t^5.327 + t^5.523 + t^5.593 + 3*t^5.664 + 2*t^5.86 + 2*t^5.93 - 2*t^6. - t^4.416/y - t^4.416*y | detail |