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 |
---|---|---|---|---|---|---|---|---|---|
60058 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.9858 | 1.189 | 0.8292 | [X:[1.5, 1.5, 1.5, 1.5], M:[0.75], q:[0.25, 0.25], qb:[0.25, 0.25], phi:[0.5]] | [X:[[-3], [0], [0], [3]], M:[[0]], q:[[1], [-2]], qb:[[2], [-1]], phi:[[0]]] | 1 | {a: 2019/2048, c: 2435/2048, X1: 3/2, X2: 3/2, X3: 3/2, X4: 3/2, M1: 3/4, q1: 1/4, q2: 1/4, qb1: 1/4, qb2: 1/4, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }X_{3}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}M_{1}\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$ | 5 | t^2.25 + 5*t^3. + 3*t^3.75 + 10*t^4.5 + 9*t^5.25 + 5*t^6. + 21*t^6.75 + 44*t^7.5 + 8*t^8.25 - t^4.5/y - t^6./y - t^6.75/y + t^7.5/y + (5*t^8.25)/y - t^4.5*y - t^6.*y - t^6.75*y + t^7.5*y + 5*t^8.25*y | t^2.25 + 3*t^3. + t^3./g1^3 + g1^3*t^3. + t^3.75 + t^3.75/g1^3 + g1^3*t^3.75 + 6*t^4.5 + (2*t^4.5)/g1^3 + 2*g1^3*t^4.5 + 5*t^5.25 + (2*t^5.25)/g1^3 + 2*g1^3*t^5.25 + t^6. + t^6./g1^6 + t^6./g1^3 + g1^3*t^6. + g1^6*t^6. + 7*t^6.75 + (2*t^6.75)/g1^6 + (5*t^6.75)/g1^3 + 5*g1^3*t^6.75 + 2*g1^6*t^6.75 + 18*t^7.5 + (3*t^7.5)/g1^6 + (10*t^7.5)/g1^3 + 10*g1^3*t^7.5 + 3*g1^6*t^7.5 + 2*t^8.25 + t^8.25/g1^6 + (2*t^8.25)/g1^3 + 2*g1^3*t^8.25 + g1^6*t^8.25 - t^4.5/y - t^6./y - t^6.75/y + t^7.5/y + (3*t^8.25)/y + t^8.25/(g1^3*y) + (g1^3*t^8.25)/y - t^4.5*y - t^6.*y - t^6.75*y + t^7.5*y + 3*t^8.25*y + (t^8.25*y)/g1^3 + g1^3*t^8.25*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 |
---|---|---|---|---|---|---|---|---|
61075 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.9876 | 1.193 | 0.8278 | [X:[1.5366, 1.5, 1.5, 1.4634], M:[0.75, 0.9634], q:[0.2378, 0.2744], qb:[0.2256, 0.2622], phi:[0.5]] | t^2.25 + 2*t^2.89 + 3*t^3. + t^3.64 + t^3.75 + t^3.86 + 2*t^4.39 + 6*t^4.5 + 2*t^4.61 + 3*t^5.14 + 5*t^5.25 + t^5.36 + 3*t^5.78 + 4*t^5.89 - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
57723 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.9859 | 1.1893 | 0.829 | [X:[1.5, 1.5093, 1.4907, 1.5], M:[0.7454], q:[0.2546, 0.2454], qb:[0.2454, 0.2546], phi:[0.5]] | t^2.24 + t^2.97 + 3*t^3. + t^3.03 + 2*t^3.74 + t^3.76 + 3*t^4.47 + 5*t^4.5 + 2*t^4.53 + t^5.21 + 5*t^5.24 + 3*t^5.26 + t^5.94 + 2*t^5.97 + t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |