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 |
---|---|---|---|---|---|---|---|---|---|
57756 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 1.2193 | 1.4171 | 0.8604 | [X:[1.4431], M:[], q:[0.7975, 0.2405], qb:[0.481, 0.3164], phi:[0.3608]] | [X:[[6]], M:[], q:[[-5], [1]], qb:[[2], [-7]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{5}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${2}\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ 2}\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 4 | 2*t^2.16 + t^2.75 + 2*t^3.25 + t^3.34 + 2*t^3.84 + 4*t^4.33 + 2*t^4.42 + 5*t^4.92 + 4*t^5.41 + 4*t^5.51 + 4*t^6. + 2*t^6.09 + 7*t^6.49 + 7*t^6.59 + t^6.68 + 9*t^7.08 + 4*t^7.18 + 6*t^7.58 + 11*t^7.67 + 2*t^7.77 + 8*t^8.16 + 9*t^8.26 + 10*t^8.66 + 10*t^8.75 + 7*t^8.85 - t^4.08/y - t^5.16/y - (2*t^6.25)/y - (2*t^7.33)/y - t^7.42/y + t^7.92/y - t^8.41/y + t^8.51/y - t^4.08*y - t^5.16*y - 2*t^6.25*y - 2*t^7.33*y - t^7.42*y + t^7.92*y - t^8.41*y + t^8.51*y | g1^2*t^2.16 + g1^3*t^2.16 + t^2.75/g1^5 + g1^3*t^3.25 + g1^4*t^3.25 + t^3.34/g1^12 + t^3.84/g1^4 + t^3.84/g1^3 + g1^4*t^4.33 + 2*g1^5*t^4.33 + g1^6*t^4.33 + (2*t^4.42)/g1^11 + t^4.92/g1^3 + (4*t^4.92)/g1^2 + g1^5*t^5.41 + 3*g1^6*t^5.41 + (4*t^5.51)/g1^10 - 4*t^6. + (2*t^6.)/g1^2 + (6*t^6.)/g1 + t^6.09/g1^18 + t^6.09/g1^17 + 2*g1^6*t^6.49 + 3*g1^7*t^6.49 + 2*g1^8*t^6.49 + (5*t^6.59)/g1^9 + (3*t^6.59)/g1^8 - t^6.59/g1^7 + t^6.68/g1^24 + 9*t^7.08 + (2*t^7.08)/g1 - g1*t^7.08 - g1^2*t^7.08 + (3*t^7.18)/g1^16 + t^7.18/g1^15 + g1^7*t^7.58 + 4*g1^8*t^7.58 + 4*g1^9*t^7.58 - 3*g1^10*t^7.58 + (7*t^7.67)/g1^8 + (7*t^7.67)/g1^7 - (3*t^7.67)/g1^6 + (2*t^7.77)/g1^23 + 2*t^8.16 + 12*g1*t^8.16 - g1^2*t^8.16 - 5*g1^3*t^8.16 + t^8.26/g1^16 + (6*t^8.26)/g1^15 + (4*t^8.26)/g1^14 - (2*t^8.26)/g1^13 + 2*g1^8*t^8.66 + 5*g1^9*t^8.66 + 4*g1^10*t^8.66 - 3*g1^11*t^8.66 + 2*g1^12*t^8.66 + (8*t^8.75)/g1^7 + (13*t^8.75)/g1^6 - (7*t^8.75)/g1^5 - (4*t^8.75)/g1^4 + t^8.85/g1^23 + (7*t^8.85)/g1^22 - t^8.85/g1^21 - (g1*t^4.08)/y - (g1^2*t^5.16)/y - (g1^3*t^6.25)/y - (g1^4*t^6.25)/y - (2*g1^4*t^7.33)/y - t^7.42/(g1^11*y) + t^7.92/(g1*y) - (g1^5*t^8.41)/y + t^8.51/(g1^9*y) - g1*t^4.08*y - g1^2*t^5.16*y - g1^3*t^6.25*y - g1^4*t^6.25*y - 2*g1^4*t^7.33*y - (t^7.42*y)/g1^11 + (t^7.92*y)/g1 - g1^5*t^8.41*y + (t^8.51*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
58778 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.2394 | 1.4544 | 0.8522 | [X:[1.4406], M:[0.7203], q:[0.7995, 0.2401], qb:[0.4802, 0.3193], phi:[0.3601]] | 3*t^2.16 + t^2.76 + 2*t^3.24 + t^3.36 + t^3.84 + 7*t^4.32 + 2*t^4.44 + 6*t^4.92 + 6*t^5.4 + 5*t^5.52 + 3*t^6. - t^4.08/y - t^5.16/y - t^4.08*y - t^5.16*y | detail | |
58631 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{3}$ | 0.9703 | 1.0864 | 0.8932 | [X:[1.1429, 1.4286, 1.4286], M:[], q:[1.0476, 0.1905], qb:[0.381, 0.6667], phi:[0.2857]] | 2*t^2.57 + 2*t^3.43 + 4*t^4.29 + 5*t^5.14 + 2*t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 5325/5488, c: 2981/2744, X1: 8/7, X2: 10/7, X3: 10/7, q1: 22/21, q2: 4/21, qb1: 8/21, qb2: 2/3, phi1: 2/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
47925 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ | 1.2241 | 1.4234 | 0.86 | [X:[1.459], q:[0.7527, 0.2117], qb:[0.5178, 0.3292], phi:[0.3648]] | 2*t^2.189 + t^2.717 + t^3.246 + 2*t^3.283 + 2*t^3.811 + t^4.34 + 4*t^4.377 + 2*t^4.623 + 3*t^4.906 + 2*t^5.189 + 3*t^5.434 + 3*t^5.471 + 2*t^5.717 + t^5.963 + 3*t^6. - t^4.094/y - t^5.189/y - t^4.094*y - t^5.189*y | detail |