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 |
---|---|---|---|---|---|---|---|---|---|
4286 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}X_{1}$ | 0.5902 | 0.7297 | 0.8089 | [X:[1.3846], M:[1.0, 1.0769, 0.6154, 0.9231, 1.0769, 0.6923, 0.9231], q:[0.8077, 0.2692], qb:[0.7308, 0.6538], phi:[0.3846]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 399/676, c: 1973/2704, X1: 18/13, M1: 1, M2: 14/13, M3: 8/13, M4: 12/13, M5: 14/13, M6: 9/13, M7: 12/13, q1: 21/26, q2: 7/26, qb1: 19/26, qb2: 17/26, phi1: 5/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{5}M_{7}$ | -1 | t^2.077 + t^2.308 + 2*t^2.769 + t^3. + t^3.231 + 3*t^4.154 + 2*t^4.385 + t^4.615 + t^4.846 + 4*t^5.077 + 3*t^5.308 + 4*t^5.538 - t^6. + 2*t^6.231 + 3*t^6.462 + t^6.692 + 3*t^6.923 + 3*t^7.154 + 5*t^7.385 + 4*t^7.615 + 4*t^7.846 - t^8.077 + 6*t^8.308 + 3*t^8.538 - t^8.769 - t^4.154/y - t^6.231/y - t^6.462/y + t^7.385/y + (3*t^7.846)/y + (4*t^8.077)/y + t^8.308/y + t^8.538/y + t^8.769/y - t^4.154*y - t^6.231*y - t^6.462*y + t^7.385*y + 3*t^7.846*y + 4*t^8.077*y + t^8.308*y + t^8.538*y + t^8.769*y | t^2.077 + t^2.308 + 2*t^2.769 + t^3. + t^3.231 + 3*t^4.154 + 2*t^4.385 + t^4.615 + t^4.846 + 4*t^5.077 + 3*t^5.308 + 4*t^5.538 - t^6. + 2*t^6.231 + 3*t^6.462 + t^6.692 + 3*t^6.923 + 3*t^7.154 + 5*t^7.385 + 4*t^7.615 + 4*t^7.846 - t^8.077 + 6*t^8.308 + 3*t^8.538 - t^8.769 - t^4.154/y - t^6.231/y - t^6.462/y + t^7.385/y + (3*t^7.846)/y + (4*t^8.077)/y + t^8.308/y + t^8.538/y + t^8.769/y - t^4.154*y - t^6.231*y - t^6.462*y + t^7.385*y + 3*t^7.846*y + 4*t^8.077*y + t^8.308*y + t^8.538*y + t^8.769*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 |
---|---|---|---|---|---|---|---|---|
5758 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{8}$ | 0.5973 | 0.7416 | 0.8055 | [X:[1.3846], M:[1.0, 1.0769, 0.6154, 0.9231, 1.0769, 0.6923, 0.9231, 0.9231], q:[0.8077, 0.2692], qb:[0.7308, 0.6538], phi:[0.3846]] | t^2.077 + t^2.308 + 3*t^2.769 + t^3. + 3*t^4.154 + 2*t^4.385 + t^4.615 + 2*t^4.846 + 5*t^5.077 + 2*t^5.308 + 6*t^5.538 + t^5.769 - 3*t^6. - t^4.154/y - t^4.154*y | detail | {a: 20997/35152, c: 26067/35152, X1: 18/13, M1: 1, M2: 14/13, M3: 8/13, M4: 12/13, M5: 14/13, M6: 9/13, M7: 12/13, M8: 12/13, q1: 21/26, q2: 7/26, qb1: 19/26, qb2: 17/26, phi1: 5/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
2273 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.7006 | 0.8845 | 0.792 | [M:[1.0, 1.1663, 0.9429, 0.8337, 0.7791, 0.7221, 0.8337], q:[0.7779, 0.3883], qb:[0.6117, 0.4454], phi:[0.4442]] | t^2.166 + t^2.337 + 2*t^2.501 + t^2.665 + t^2.829 + t^3. + t^3.67 + t^4.005 + t^4.169 + 2*t^4.333 + 2*t^4.504 + 2*t^4.667 + t^4.675 + t^4.831 + 2*t^4.839 + t^4.995 + 5*t^5.002 + 4*t^5.166 + 2*t^5.33 + t^5.337 + t^5.494 + t^5.501 + t^5.658 + t^5.665 + t^5.836 - 2*t^6. - t^4.333/y - t^4.333*y | detail |