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 |
---|---|---|---|---|---|---|---|---|---|
59477 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.2439 | 1.4598 | 0.8521 | [X:[1.4545], M:[0.7273], q:[0.7576, 0.2121], qb:[0.5152, 0.3333], phi:[0.3636]] | [X:[[0]], M:[[0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 13245/10648, c: 1943/1331, X1: 16/11, M1: 8/11, q1: 25/33, q2: 7/33, qb1: 17/33, qb2: 1/3, phi1: 4/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{5}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 3 | 3*t^2.18 + t^2.73 + 3*t^3.27 + t^3.82 + 8*t^4.36 + 2*t^4.64 + 4*t^4.91 + 2*t^5.18 + 9*t^5.45 + 2*t^5.73 + 3*t^6. + 2*t^6.27 + 19*t^6.55 + 6*t^6.82 + 10*t^7.09 + 6*t^7.36 + 21*t^7.64 + 8*t^7.91 + 8*t^8.18 + 8*t^8.45 + 33*t^8.73 - t^4.09/y - t^5.18/y - (3*t^6.27)/y - (2*t^7.36)/y + (3*t^7.91)/y - t^4.09*y - t^5.18*y - 3*t^6.27*y - 2*t^7.36*y + 3*t^7.91*y | 3*t^2.18 + t^2.73 + 3*t^3.27 + t^3.82 + 8*t^4.36 + t^4.64/g1^3 + g1^3*t^4.64 + 4*t^4.91 + t^5.18/g1^3 + g1^3*t^5.18 + 9*t^5.45 + t^5.73/g1^3 + g1^3*t^5.73 + 3*t^6. + t^6.27/g1^3 + g1^3*t^6.27 + 19*t^6.55 + (3*t^6.82)/g1^3 + 3*g1^3*t^6.82 + 10*t^7.09 + (3*t^7.36)/g1^3 + 3*g1^3*t^7.36 + 21*t^7.64 + (4*t^7.91)/g1^3 + 4*g1^3*t^7.91 + 8*t^8.18 + (4*t^8.45)/g1^3 + 4*g1^3*t^8.45 + 33*t^8.73 - t^4.09/y - t^5.18/y - (3*t^6.27)/y - (2*t^7.36)/y + (3*t^7.91)/y - t^4.09*y - t^5.18*y - 3*t^6.27*y - 2*t^7.36*y + 3*t^7.91*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 |
---|---|---|---|---|---|---|---|---|
61179 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.2522 | 1.4738 | 0.8496 | [X:[1.4545], M:[0.7273, 0.9091], q:[0.7576, 0.2121], qb:[0.5152, 0.3333], phi:[0.3636]] | 3*t^2.18 + 2*t^2.73 + 2*t^3.27 + t^3.82 + 8*t^4.36 + 2*t^4.64 + 7*t^4.91 + 2*t^5.18 + 8*t^5.45 + 2*t^5.73 + 4*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 26667/21296, c: 15693/10648, X1: 16/11, M1: 8/11, M2: 10/11, q1: 25/33, q2: 7/33, qb1: 17/33, qb2: 1/3, phi1: 4/11} |
61258 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.2638 | 1.4967 | 0.8444 | [X:[1.4545], M:[0.7273, 0.7273], q:[0.7576, 0.2121], qb:[0.5152, 0.3333], phi:[0.3636]] | 4*t^2.18 + t^2.73 + 3*t^3.27 + 12*t^4.36 + 2*t^4.64 + 5*t^4.91 + 2*t^5.18 + 12*t^5.45 + 2*t^5.73 - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 26913/21296, c: 15937/10648, X1: 16/11, M1: 8/11, M2: 8/11, q1: 25/33, q2: 7/33, qb1: 17/33, qb2: 1/3, 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 |
---|---|---|---|---|---|---|---|---|---|
57594 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1.224 | 1.4229 | 0.8602 | [X:[1.4545], M:[], q:[0.7576, 0.2121], qb:[0.5152, 0.3333], phi:[0.3636]] | 2*t^2.18 + t^2.73 + 3*t^3.27 + 2*t^3.82 + 5*t^4.36 + 2*t^4.64 + 3*t^4.91 + 2*t^5.18 + 6*t^5.45 + 2*t^5.73 + 4*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 26067/21296, c: 15151/10648, X1: 16/11, q1: 25/33, q2: 7/33, qb1: 17/33, qb2: 1/3, phi1: 4/11} |