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 |
---|---|---|---|---|---|---|---|---|---|
57989 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 1.3951 | 1.611 | 0.866 | [X:[1.2727], M:[0.9091], q:[0.3258, 0.5985], qb:[0.4015, 0.4924], phi:[0.3636]] | [X:[[0]], M:[[0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 118839/85184, c: 137231/85184, X1: 14/11, M1: 10/11, q1: 43/132, q2: 79/132, qb1: 53/132, qb2: 65/132, phi1: 4/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | ${}\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}X_{1}$ | 1 | t^2.18 + t^2.45 + t^2.73 + t^3. + 2*t^3.27 + t^3.55 + t^3.82 + t^4.09 + 3*t^4.36 + 2*t^4.64 + t^4.84 + 2*t^4.91 + t^4.98 + 2*t^5.18 + t^5.25 + 5*t^5.45 + t^5.66 + 3*t^5.73 + t^5.93 + t^6. + t^6.07 + t^6.2 + 3*t^6.27 + t^6.34 + 9*t^6.55 + t^6.75 + 6*t^6.82 + 2*t^7.02 + 5*t^7.09 + 2*t^7.16 + 6*t^7.36 + 3*t^7.43 - t^7.57 + 12*t^7.64 + t^7.7 + 2*t^7.84 + 8*t^7.91 + 4*t^8.11 + 5*t^8.18 + 3*t^8.25 + 2*t^8.39 + 5*t^8.45 + 3*t^8.52 + t^8.66 + 15*t^8.73 + 3*t^8.93 - t^4.09/y - t^5.18/y - t^6.27/y - t^6.55/y - t^6.82/y - t^7.09/y - (2*t^7.36)/y + t^8.18/y + (2*t^8.73)/y - t^4.09*y - t^5.18*y - t^6.27*y - t^6.55*y - t^6.82*y - t^7.09*y - 2*t^7.36*y + t^8.18*y + 2*t^8.73*y | t^2.18 + t^2.45 + t^2.73 + t^3. + 2*t^3.27 + t^3.55 + t^3.82 + t^4.09 + 3*t^4.36 + 2*t^4.64 + t^4.84/g1^3 + 2*t^4.91 + g1^3*t^4.98 + 2*t^5.18 + g1^3*t^5.25 + 5*t^5.45 + t^5.66/g1^3 + 3*t^5.73 + t^5.93/g1^3 + t^6. + g1^3*t^6.07 + t^6.2/g1^3 + 3*t^6.27 + g1^3*t^6.34 + 9*t^6.55 + t^6.75/g1^3 + 6*t^6.82 + (2*t^7.02)/g1^3 + 5*t^7.09 + 2*g1^3*t^7.16 + 6*t^7.36 + 3*g1^3*t^7.43 - t^7.57/g1^3 + 12*t^7.64 + g1^3*t^7.7 + (2*t^7.84)/g1^3 + 8*t^7.91 + (4*t^8.11)/g1^3 + 5*t^8.18 + 3*g1^3*t^8.25 + (2*t^8.39)/g1^3 + 5*t^8.45 + 3*g1^3*t^8.52 + t^8.66/g1^3 + 15*t^8.73 + (3*t^8.93)/g1^3 - t^4.09/y - t^5.18/y - t^6.27/y - t^6.55/y - t^6.82/y - t^7.09/y - (2*t^7.36)/y + t^8.18/y + (2*t^8.73)/y - t^4.09*y - t^5.18*y - t^6.27*y - t^6.55*y - t^6.82*y - t^7.09*y - 2*t^7.36*y + t^8.18*y + 2*t^8.73*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 |
---|---|---|---|---|---|---|---|---|
61189 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3567 | 1.5726 | 0.8627 | [X:[1.2727], M:[0.9091], q:[0.2424, 0.5152], qb:[0.4848, 0.5758], phi:[0.3636]] | t^2.18 + t^2.45 + t^2.73 + t^3. + 2*t^3.27 + t^3.55 + t^3.82 + 2*t^4.09 + 3*t^4.36 + 2*t^4.64 + 3*t^4.91 + 3*t^5.18 + 6*t^5.45 + 4*t^5.73 + 3*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 28893/21296, c: 33491/21296, X1: 14/11, M1: 10/11, q1: 8/33, q2: 17/33, qb1: 16/33, qb2: 19/33, phi1: 4/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
57298 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4062 | 1.6221 | 0.8669 | [X:[1.2727], M:[0.9091], q:[0.3636, 0.5455], qb:[0.3636, 0.5455], phi:[0.3636]] | t^2.182 + 3*t^2.727 + 2*t^3.273 + 3*t^3.818 + 3*t^4.364 + 7*t^4.909 + 9*t^5.455 + 7*t^6. - t^4.091/y - t^5.182/y - t^4.091*y - t^5.182*y | detail | {a: 14973/10648, c: 2159/1331, X1: 14/11, M1: 10/11, q1: 4/11, q2: 6/11, qb1: 4/11, qb2: 6/11, phi1: 4/11} |