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 |
---|---|---|---|---|---|---|---|---|---|
692 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ | 0.6669 | 0.8127 | 0.8206 | [M:[0.9899, 1.1111, 1.0101, 0.7879, 0.9899], q:[0.7778, 0.4545], qb:[0.5556, 0.4343], phi:[0.4444]] | [M:[[1], [0], [-1], [-1], [1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 3169/4752, c: 1931/2376, M1: 98/99, M2: 10/9, M3: 100/99, M4: 26/33, M5: 98/99, q1: 7/9, q2: 5/11, qb1: 5/9, qb2: 43/99, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$ | ${}$ | -2 | t^2.364 + t^2.667 + 2*t^2.97 + t^3.333 + t^3.697 + t^3.939 + 2*t^4. + t^4.061 + t^4.303 + t^4.364 + t^4.667 + t^4.727 + t^5.03 + 3*t^5.333 + t^5.636 + 2*t^5.939 - 2*t^6. + t^6.303 + t^6.364 + t^6.424 + t^6.606 + 3*t^6.667 + 2*t^6.727 + 2*t^6.909 + 2*t^6.97 + 2*t^7.03 + t^7.091 + t^7.273 + t^7.333 + t^7.394 + t^7.636 + 3*t^7.697 + t^7.758 + t^7.879 + t^7.939 + 4*t^8. + 2*t^8.061 + t^8.121 + t^8.242 + 3*t^8.303 - 2*t^8.364 + t^8.424 + t^8.606 - t^8.667 + t^8.727 + t^8.788 + 2*t^8.909 - 4*t^8.97 - t^4.333/y - t^6.697/y - t^7.303/y + t^7.364/y + t^7.97/y + t^8.03/y + (2*t^8.333)/y + (2*t^8.636)/y + t^8.697/y + t^8.939/y - t^4.333*y - t^6.697*y - t^7.303*y + t^7.364*y + t^7.97*y + t^8.03*y + 2*t^8.333*y + 2*t^8.636*y + t^8.697*y + t^8.939*y | t^2.364/g1 + t^2.667 + 2*g1*t^2.97 + t^3.333 + t^3.697/g1 + g1^2*t^3.939 + 2*t^4. + t^4.061/g1^2 + g1*t^4.303 + t^4.364/g1 + t^4.667 + t^4.727/g1^2 + t^5.03/g1 + 3*t^5.333 + g1*t^5.636 + 2*g1^2*t^5.939 - 2*t^6. + g1*t^6.303 + t^6.364/g1 + t^6.424/g1^3 + g1^2*t^6.606 + 3*t^6.667 + (2*t^6.727)/g1^2 + 2*g1^3*t^6.909 + 2*g1*t^6.97 + (2*t^7.03)/g1 + t^7.091/g1^3 + g1^2*t^7.273 + t^7.333 + t^7.394/g1^2 + g1*t^7.636 + (3*t^7.697)/g1 + t^7.758/g1^3 + g1^4*t^7.879 + g1^2*t^7.939 + 4*t^8. + (2*t^8.061)/g1^2 + t^8.121/g1^4 + g1^3*t^8.242 + 3*g1*t^8.303 - (2*t^8.364)/g1 + t^8.424/g1^3 + g1^2*t^8.606 - t^8.667 + t^8.727/g1^2 + t^8.788/g1^4 + 2*g1^3*t^8.909 - 4*g1*t^8.97 - t^4.333/y - t^6.697/(g1*y) - (g1*t^7.303)/y + t^7.364/(g1*y) + (g1*t^7.97)/y + t^8.03/(g1*y) + (2*t^8.333)/y + (2*g1*t^8.636)/y + t^8.697/(g1*y) + (g1^2*t^8.939)/y - t^4.333*y - (t^6.697*y)/g1 - g1*t^7.303*y + (t^7.364*y)/g1 + g1*t^7.97*y + (t^8.03*y)/g1 + 2*t^8.333*y + 2*g1*t^8.636*y + (t^8.697*y)/g1 + g1^2*t^8.939*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 |
---|---|---|---|---|---|---|---|---|
1116 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6876 | 0.8535 | 0.8057 | [M:[0.9934, 1.1111, 1.0066, 0.7844, 0.9934, 0.6798], q:[0.7778, 0.451], qb:[0.5556, 0.4379], phi:[0.4444]] | t^2.039 + t^2.353 + t^2.667 + 2*t^2.98 + t^3.333 + t^3.686 + 2*t^4. + t^4.039 + t^4.079 + t^4.314 + t^4.353 + t^4.393 + t^4.667 + 2*t^4.706 + 3*t^5.02 + 3*t^5.333 + t^5.373 + t^5.647 + t^5.726 + 2*t^5.961 - 2*t^6. - t^4.333/y - t^4.333*y | detail | |
1115 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6854 | 0.8464 | 0.8098 | [M:[0.9792, 1.1111, 1.0208, 0.7985, 0.9792, 0.757], q:[0.7778, 0.4652], qb:[0.5556, 0.4237], phi:[0.4444]] | t^2.271 + t^2.396 + t^2.667 + 2*t^2.938 + t^3.333 + t^3.875 + 2*t^4. + t^4.125 + t^4.271 + t^4.396 + t^4.542 + 2*t^4.667 + t^4.791 + t^4.938 + t^5.062 + 2*t^5.209 + 3*t^5.333 + 2*t^5.604 + 2*t^5.875 - 2*t^6. - t^4.333/y - t^4.333*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 |
---|---|---|---|---|---|---|---|---|---|
420 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.667 | 0.8136 | 0.8198 | [M:[1.0126, 1.1111, 0.9874, 0.7652], q:[0.7778, 0.4319], qb:[0.5556, 0.457], phi:[0.4444]] | t^2.296 + t^2.667 + t^2.962 + t^3.038 + t^3.333 + t^3.629 + t^3.924 + 2*t^4. + t^4.076 + t^4.296 + t^4.371 + t^4.591 + t^4.667 + t^4.962 + t^5.258 + 2*t^5.333 + t^5.629 + t^5.924 - t^6. - t^4.333/y - t^4.333*y | detail |