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 |
---|---|---|---|---|---|---|---|---|---|
381 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.5 | 0.5833 | 0.8571 | [X:[1.7778, 1.3333], M:[0.8889, 0.2222, 1.1111], q:[0.8333, 0.8333], qb:[0.2778, 0.7222], phi:[0.3333]] | [X:[[0], [0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1/2, c: 7/12, X1: 16/9, X2: 4/3, M1: 8/9, M2: 2/9, M3: 10/9, q1: 5/6, q2: 5/6, qb1: 5/18, qb2: 13/18, phi1: 1/3} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}$ | ${}M_{1}q_{2}\tilde{q}_{1}$ | 0 | t^2.667 + t^3. + 2*t^3.333 + 2*t^4. + t^4.667 + t^5. + 2*t^6.667 + 2*t^7.333 + 4*t^8. - t^8.667 - t^4./y + t^8.667/y - t^4.*y + t^8.667*y | t^2.667 + t^3. + 2*t^3.333 + 2*t^4. + t^4.667 + t^5. + 2*t^6.667 + 2*t^7.333 + 4*t^8. - t^8.667 - t^4./y + t^8.667/y - t^4.*y + t^8.667*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 |
---|---|---|---|---|---|---|---|---|
619 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{2}$ + ${ }M_{3}M_{4}$ | 0.51 | 0.6003 | 0.8496 | [X:[1.7778, 1.3333], M:[0.8889, 0.2222, 1.1111, 0.8889], q:[0.8333, 0.8333], qb:[0.2778, 0.7222], phi:[0.3333]] | 2*t^2.667 + t^3. + t^3.333 + 2*t^4. + t^4.667 + t^5. + 2*t^5.333 + t^5.667 - t^4./y - t^4.*y | detail | {a: 661/1296, c: 389/648, X1: 16/9, X2: 4/3, M1: 8/9, M2: 2/9, M3: 10/9, M4: 8/9, q1: 5/6, q2: 5/6, qb1: 5/18, qb2: 13/18, phi1: 1/3} |
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 |
---|---|---|---|---|---|---|---|---|---|
241 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ | 0.5614 | 0.6887 | 0.8152 | [X:[1.4324], M:[0.9382, 0.5676, 1.0618], q:[0.7963, 0.7963], qb:[0.2654, 0.5125], phi:[0.4073]] | t^2.334 + t^2.444 + t^2.815 + 2*t^3.185 + t^3.556 + 2*t^3.927 + t^4.297 + t^4.668 + 2*t^4.778 + t^4.888 + t^5.149 + 2*t^5.519 + t^5.629 + t^5.89 - t^4.222/y - t^4.222*y | detail |