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 |
---|---|---|---|---|---|---|---|---|---|
50908 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ | 0.6343 | 0.7707 | 0.8231 | [X:[1.3636], M:[1.1818, 1.0, 0.6364, 0.8182, 1.0909], q:[0.4091, 0.4091], qb:[0.5909, 0.7727], phi:[0.4545]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 13509/21296, c: 16413/21296, X1: 15/11, M1: 13/11, M2: 1, M3: 7/11, M4: 9/11, M5: 12/11, q1: 9/22, q2: 9/22, qb1: 13/22, qb2: 17/22, phi1: 5/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$ | ${}M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0 | t^2.455 + 2*t^3. + t^3.273 + 2*t^3.545 + 3*t^3.818 + t^4.091 + 2*t^4.364 + 2*t^4.909 + t^5.727 + 3*t^6.273 + 2*t^6.545 + 5*t^6.818 + 3*t^7.091 + 6*t^7.364 + 7*t^7.636 + 3*t^7.909 + 4*t^8.182 - t^8.455 + 3*t^8.727 - t^4.364/y + (2*t^8.455)/y + t^8.727/y - t^4.364*y + 2*t^8.455*y + t^8.727*y | t^2.455 + 2*t^3. + t^3.273 + 2*t^3.545 + 3*t^3.818 + t^4.091 + 2*t^4.364 + 2*t^4.909 + t^5.727 + 3*t^6.273 + 2*t^6.545 + 5*t^6.818 + 3*t^7.091 + 6*t^7.364 + 7*t^7.636 + 3*t^7.909 + 4*t^8.182 - t^8.455 + 3*t^8.727 - t^4.364/y + (2*t^8.455)/y + t^8.727/y - t^4.364*y + 2*t^8.455*y + t^8.727*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 |
---|---|---|---|---|---|---|---|---|
56295 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6542 | 0.8076 | 0.81 | [X:[1.3636], M:[1.1818, 1.0, 0.6364, 0.8182, 1.0909, 0.7273], q:[0.4091, 0.4091], qb:[0.5909, 0.7727], phi:[0.4545]] | t^2.182 + t^2.455 + 2*t^3. + t^3.273 + 2*t^3.545 + 2*t^3.818 + t^4.091 + 3*t^4.364 + t^4.636 + 2*t^4.909 + 2*t^5.182 + t^5.455 + 3*t^5.727 + 2*t^6. - t^4.364/y - t^4.364*y | detail | {a: 3483/5324, c: 17199/21296, X1: 15/11, M1: 13/11, M2: 1, M3: 7/11, M4: 9/11, M5: 12/11, M6: 8/11, q1: 9/22, q2: 9/22, qb1: 13/22, qb2: 17/22, phi1: 5/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
47122 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6608 | 0.8195 | 0.8064 | [M:[1.1545, 1.0, 0.6911, 0.8455, 1.0772], q:[0.4604, 0.3852], qb:[0.5396, 0.7693], phi:[0.4614]] | t^2.073 + t^2.537 + t^2.774 + t^3. + t^3.232 + t^3.463 + t^3.689 + t^3.695 + t^3.921 + 2*t^4.146 + t^4.158 + t^4.384 + t^4.61 + t^4.622 + t^4.848 + 2*t^5.073 + t^5.305 + t^5.311 + t^5.537 + t^5.549 + 2*t^5.768 + t^5.994 - t^6. - t^4.384/y - t^4.384*y | detail |