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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5218 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{4}X_{1}$ | 0.5488 | 0.702 | 0.7817 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.7097, 0.8387, 1.1613], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 16350/29791, c: 83659/119164, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 22/31, M6: 26/31, M7: 36/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -1 | 2*t^2.129 + t^2.516 + t^2.71 + t^2.903 + t^3.29 + t^3.484 + t^3.677 + t^4.065 + 3*t^4.258 + t^4.452 + 2*t^4.645 + 2*t^4.839 + 3*t^5.032 + t^5.226 + 3*t^5.419 + 3*t^5.613 + 2*t^5.806 - t^6. + 3*t^6.194 + 4*t^6.387 + 2*t^6.581 + 2*t^6.774 + 4*t^6.968 + 5*t^7.161 + t^7.355 + 4*t^7.548 + 6*t^7.742 + 3*t^7.935 + 5*t^8.323 + 3*t^8.516 + t^8.71 + t^8.903 - t^4.355/y - t^6.484/y + t^7.258/y + (2*t^7.645)/y + (2*t^7.839)/y + (2*t^8.032)/y + (2*t^8.226)/y + (3*t^8.419)/y + (2*t^8.613)/y + (3*t^8.806)/y - t^4.355*y - t^6.484*y + t^7.258*y + 2*t^7.645*y + 2*t^7.839*y + 2*t^8.032*y + 2*t^8.226*y + 3*t^8.419*y + 2*t^8.613*y + 3*t^8.806*y | 2*t^2.129 + t^2.516 + t^2.71 + t^2.903 + t^3.29 + t^3.484 + t^3.677 + t^4.065 + 3*t^4.258 + t^4.452 + 2*t^4.645 + 2*t^4.839 + 3*t^5.032 + t^5.226 + 3*t^5.419 + 3*t^5.613 + 2*t^5.806 - t^6. + 3*t^6.194 + 4*t^6.387 + 2*t^6.581 + 2*t^6.774 + 4*t^6.968 + 5*t^7.161 + t^7.355 + 4*t^7.548 + 6*t^7.742 + 3*t^7.935 + 5*t^8.323 + 3*t^8.516 + t^8.71 + t^8.903 - t^4.355/y - t^6.484/y + t^7.258/y + (2*t^7.645)/y + (2*t^7.839)/y + (2*t^8.032)/y + (2*t^8.226)/y + (3*t^8.419)/y + (2*t^8.613)/y + (3*t^8.806)/y - t^4.355*y - t^6.484*y + t^7.258*y + 2*t^7.645*y + 2*t^7.839*y + 2*t^8.032*y + 2*t^8.226*y + 3*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 |
---|---|---|---|---|---|---|---|---|
6763 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{4}X_{1}$ + ${ }M_{1}M_{8}$ | 0.5285 | 0.6636 | 0.7964 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.7097, 0.8387, 1.1613, 1.2903], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | t^2.129 + t^2.516 + t^2.71 + t^2.903 + t^3.29 + t^3.484 + t^3.677 + t^3.871 + t^4.065 + t^4.258 + t^4.452 + t^4.645 + t^4.839 + 2*t^5.032 + t^5.226 + 2*t^5.419 + 2*t^5.613 + t^5.806 - t^4.355/y - t^4.355*y | detail | {a: 251907/476656, c: 158147/238328, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 22/31, M6: 26/31, M7: 36/31, M8: 40/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
6767 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}M_{8}$ | 0.5628 | 0.7261 | 0.7751 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.7097, 0.8387, 1.1613, 0.8387], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | 2*t^2.129 + 2*t^2.516 + t^2.71 + t^2.903 + t^3.29 + t^3.677 + t^4.065 + 3*t^4.258 + t^4.452 + 4*t^4.645 + 2*t^4.839 + 5*t^5.032 + 2*t^5.226 + 4*t^5.419 + t^5.613 + 3*t^5.806 - 2*t^6. - t^4.355/y - t^4.355*y | detail | {a: 268245/476656, c: 173043/238328, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 22/31, M6: 26/31, M7: 36/31, M8: 26/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
6765 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.54 | 0.6872 | 0.7858 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.7097, 0.8387, 1.1613, 1.0968], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | 2*t^2.129 + t^2.516 + t^2.903 + 2*t^3.29 + t^3.484 + t^3.677 + t^4.065 + 3*t^4.258 + t^4.452 + 2*t^4.645 + 3*t^5.032 + 4*t^5.419 + 2*t^5.613 + 3*t^5.806 - 2*t^6. - t^4.355/y - t^4.355*y | detail | {a: 257397/476656, c: 163775/238328, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 22/31, M6: 26/31, M7: 36/31, M8: 34/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
6766 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ | 0.5458 | 0.697 | 0.7831 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.7097, 0.8387, 1.1613, 1.0323], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | 2*t^2.129 + t^2.516 + t^2.71 + t^3.097 + t^3.29 + t^3.484 + t^3.677 + t^4.065 + 3*t^4.258 + t^4.452 + 2*t^4.645 + 2*t^4.839 + t^5.032 + 3*t^5.226 + 2*t^5.419 + 3*t^5.613 + 2*t^5.806 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 260163/476656, c: 166119/238328, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 22/31, M6: 26/31, M7: 36/31, M8: 32/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
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 |
---|---|---|---|---|---|---|---|---|---|
3542 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.716 | 0.9276 | 0.7718 | [M:[0.8326, 1.0558, 1.1674, 0.7211, 0.8326, 0.6953, 0.6694], q:[0.4034, 0.7639], qb:[0.4292, 0.515], phi:[0.4721]] | t^2.008 + t^2.086 + t^2.163 + 2*t^2.498 + t^2.755 + t^2.833 + t^3.167 + t^3.58 + t^3.837 + t^4.017 + t^4.094 + 3*t^4.172 + 2*t^4.249 + t^4.326 + 3*t^4.506 + 2*t^4.584 + 2*t^4.661 + t^4.763 + 2*t^4.841 + 2*t^4.918 + 4*t^4.996 + t^5.176 + 3*t^5.253 + 3*t^5.331 + t^5.51 + 2*t^5.588 + 3*t^5.665 + t^5.845 + t^5.923 - t^6. - t^4.416/y - t^4.416*y | detail |