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 |
---|---|---|---|---|---|---|---|---|---|
57368 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 1.098 | 1.2855 | 0.8541 | [X:[1.6, 1.4], q:[0.4667, 0.2667], qb:[0.7333, 0.1333], phi:[0.4]] | [X:[[0], [0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 549/500, c: 2571/2000, X1: 8/5, X2: 7/5, q1: 7/15, q2: 4/15, qb1: 11/15, qb2: 2/15, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}\tilde{q}_{2}^{2}$ | 7 | 2*t^2.4 + 2*t^3. + 3*t^3.6 + 4*t^4.2 + 7*t^4.8 + 5*t^5.4 + 7*t^6. + 10*t^6.6 + 17*t^7.2 + 15*t^7.8 + 20*t^8.4 - t^4.2/y - t^5.4/y - t^6.6/y - t^7.2/y - (2*t^7.8)/y + (2*t^8.4)/y - t^4.2*y - t^5.4*y - t^6.6*y - t^7.2*y - 2*t^7.8*y + 2*t^8.4*y | 2*t^2.4 + 2*t^3. + 3*t^3.6 + 2*t^4.2 + t^4.2/g1^3 + g1^3*t^4.2 + 5*t^4.8 + t^4.8/g1^3 + g1^3*t^4.8 + 3*t^5.4 + t^5.4/g1^3 + g1^3*t^5.4 + 5*t^6. + t^6./g1^3 + g1^3*t^6. + 6*t^6.6 + (2*t^6.6)/g1^3 + 2*g1^3*t^6.6 + 13*t^7.2 + (2*t^7.2)/g1^3 + 2*g1^3*t^7.2 + 9*t^7.8 + (3*t^7.8)/g1^3 + 3*g1^3*t^7.8 + 10*t^8.4 + t^8.4/g1^6 + (4*t^8.4)/g1^3 + 4*g1^3*t^8.4 + g1^6*t^8.4 - t^4.2/y - t^5.4/y - t^6.6/y - t^7.2/y - (2*t^7.8)/y + (2*t^8.4)/y - t^4.2*y - t^5.4*y - t^6.6*y - t^7.2*y - 2*t^7.8*y + 2*t^8.4*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 |
---|---|---|---|---|---|---|---|---|
58453 | ${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.1145 | 1.3145 | 0.8479 | [X:[1.6, 1.4], M:[0.8], q:[0.4667, 0.2667], qb:[0.7333, 0.1333], phi:[0.4]] | 3*t^2.4 + 2*t^3. + 2*t^3.6 + 4*t^4.2 + 10*t^4.8 + 7*t^5.4 + 7*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 2229/2000, c: 2629/2000, X1: 8/5, X2: 7/5, M1: 4/5, q1: 7/15, q2: 4/15, qb1: 11/15, qb2: 2/15, phi1: 2/5} |
58438 | ${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.071 | 1.2585 | 0.851 | [X:[1.6, 1.4], M:[], q:[0.4, 0.2], qb:[0.8, 0.2], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 4*t^3.6 + 3*t^4.2 + 7*t^4.8 + 5*t^5.4 + 8*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 1071/1000, c: 2517/2000, X1: 8/5, X2: 7/5, q1: 2/5, q2: 1/5, qb1: 4/5, qb2: 1/5, phi1: 2/5} |
58427 | ${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | 0.99 | 1.1775 | 0.8408 | [X:[1.6, 1.4], M:[], q:[0.3333, 0.1333], qb:[0.8667, 0.2667], phi:[0.4]] | 2*t^2.4 + 3*t^3. + 4*t^3.6 + 3*t^4.2 + 6*t^4.8 + 6*t^5.4 + 9*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 99/100, c: 471/400, X1: 8/5, X2: 7/5, q1: 1/3, q2: 2/15, qb1: 13/15, qb2: 4/15, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
47887 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ | 1.1715 | 1.384 | 0.8465 | [X:[1.6], q:[0.6, 0.2], qb:[0.6, 0.2], phi:[0.4]] | 4*t^2.4 + 5*t^3.6 + 2*t^4.2 + 12*t^4.8 + 6*t^5.4 + 14*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 2343/2000, c: 173/125, X1: 8/5, q1: 3/5, q2: 1/5, qb1: 3/5, qb2: 1/5, phi1: 2/5} |