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 |
---|---|---|---|---|---|---|---|---|---|
57512 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}^{2}q_{2}$ | 0.9877 | 1.1935 | 0.8275 | [X:[1.535, 1.5082, 1.4918, 1.465], M:[0.965, 0.7415], q:[0.2439, 0.2706], qb:[0.2211, 0.2643], phi:[0.5]] | [X:[[0, 0, -1], [0, -1, 0], [0, 1, 0], [0, 0, 1]], M:[[0, 0, 1], [3, 2, 1]], q:[[-1, -1, 0], [-1, 0, -1]], qb:[[1, 1, 1], [1, 0, 0]], phi:[[0, 0, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.22 + 2*t^2.9 + t^2.98 + t^3. + t^3.02 + t^3.62 + t^3.75 + t^3.86 + 2*t^4.4 + t^4.45 + 2*t^4.48 + t^4.5 + 2*t^4.52 + 2*t^4.6 + 3*t^5.12 + t^5.2 + t^5.22 + 2*t^5.25 + t^5.28 + t^5.36 + 3*t^5.79 + t^5.84 + t^5.87 + t^5.9 + t^5.92 + t^5.95 + t^5.97 - 3*t^6. + t^6.05 - t^6.1 - t^6.13 + t^6.49 + 2*t^6.51 + t^6.59 + 3*t^6.62 + t^6.64 + t^6.67 + 3*t^6.7 + 3*t^6.75 + t^6.77 + 3*t^6.83 + t^6.86 + t^6.94 + t^7.24 + 4*t^7.29 + 3*t^7.34 + 6*t^7.37 + 2*t^7.4 + 6*t^7.42 + 3*t^7.45 + 2*t^7.47 + 2*t^7.48 + 7*t^7.5 + t^7.52 + 2*t^7.55 + 2*t^7.58 + t^7.6 + t^7.63 + t^7.71 - t^7.99 + 5*t^8.01 + t^8.07 + 2*t^8.09 + t^8.12 + 4*t^8.14 + t^8.18 - 2*t^8.22 + t^8.25 + 2*t^8.27 - t^8.28 - t^8.3 - t^8.35 - 2*t^8.38 - t^8.44 + 4*t^8.69 + t^8.71 + 3*t^8.74 + t^8.77 + 4*t^8.79 + 2*t^8.82 + 3*t^8.84 + t^8.85 + 4*t^8.87 - 8*t^8.9 + 4*t^8.92 + t^8.93 + t^8.94 + 3*t^8.95 + 3*t^8.97 - 5*t^8.98 - t^4.5/y - t^6./y - t^6.72/y - t^7.4/y + t^7.5/y + t^7.6/y + (2*t^8.12)/y + t^8.2/y + t^8.25/y + t^8.28/y + t^8.79/y + t^8.84/y + (2*t^8.87)/y - t^8.9/y + (2*t^8.92)/y - t^8.95/y + t^8.97/y - t^8.98/y - t^4.5*y - t^6.*y - t^6.72*y - t^7.4*y + t^7.5*y + t^7.6*y + 2*t^8.12*y + t^8.2*y + t^8.25*y + t^8.28*y + t^8.79*y + t^8.84*y + 2*t^8.87*y - t^8.9*y + 2*t^8.92*y - t^8.95*y + t^8.97*y - t^8.98*y | g1^3*g2^2*g3*t^2.22 + 2*g3*t^2.9 + g2*t^2.98 + t^3. + t^3.02/g2 + g1^3*g2^2*g3^2*t^3.62 + g1^3*g2*g3*t^3.75 + t^3.86/(g1^3*g2*g3^2) + 2*g3*t^4.4 + g1^6*g2^4*g3^2*t^4.45 + 2*g2*t^4.48 + t^4.5 + (2*t^4.52)/g2 + (2*t^4.6)/g3 + 3*g1^3*g2^2*g3^2*t^5.12 + g1^3*g2^3*g3*t^5.2 + g1^3*g2^2*g3*t^5.22 + 2*g1^3*g2*g3*t^5.25 + t^5.28/(g1^3*g2^2*g3) + t^5.36/(g1^3*g2*g3^2) + 3*g3^2*t^5.79 + g1^6*g2^4*g3^3*t^5.84 + g2*g3*t^5.87 + g3*t^5.9 + (g3*t^5.92)/g2 + g2^2*t^5.95 + g1^6*g2^3*g3^2*t^5.97 - 3*t^6. + t^6.05/g2^2 - t^6.1/g3 - t^6.13/(g2*g3) + g1^3*g2^3*g3^3*t^6.49 + 2*g1^3*g2^2*g3^3*t^6.51 + g1^3*g2^3*g3^2*t^6.59 + 3*g1^3*g2^2*g3^2*t^6.62 + g1^3*g2*g3^2*t^6.64 + g1^9*g2^6*g3^3*t^6.67 + t^6.7/(g1^3*g2^3) + 2*g1^3*g2^3*g3*t^6.7 + 3*g1^3*g2*g3*t^6.75 + g1^3*g3*t^6.77 + 2*g1^3*g2^2*t^6.83 + t^6.83/(g1^3*g3^2) + t^6.86/(g1^3*g2*g3^2) + g1^3*t^6.88 - t^6.88/(g1^3*g2^2*g3^2) + t^6.94/(g1^3*g3^3) + g1^6*g2^4*g3^4*t^7.24 + 4*g3^2*t^7.29 + 3*g1^6*g2^4*g3^3*t^7.34 + 5*g2*g3*t^7.37 + g1^6*g2^3*g3^3*t^7.37 + 2*g3*t^7.4 + (5*g3*t^7.42)/g2 + g1^6*g2^5*g3^2*t^7.42 + 2*g2^2*t^7.45 + g1^6*g2^4*g3^2*t^7.45 + 2*g1^6*g2^3*g3^2*t^7.47 + 2*g2*t^7.48 + 6*t^7.5 + g1^6*g2^2*g3^2*t^7.5 + t^7.52/g2 + (2*t^7.55)/g2^2 + (2*g2*t^7.58)/g3 + t^7.6/g3 + t^7.63/(g2*g3) + t^7.71/(g1^6*g2^2*g3^4) - g1^3*g2^3*g3^3*t^7.99 + 5*g1^3*g2^2*g3^3*t^8.01 + g1^9*g2^6*g3^4*t^8.07 + 2*g1^3*g2^3*g3^2*t^8.09 + g1^3*g2^2*g3^2*t^8.12 + 4*g1^3*g2*g3^2*t^8.14 + g1^3*g2^4*g3*t^8.18 - t^8.2/(g1^3*g2^3) + g1^9*g2^5*g3^3*t^8.2 - 2*g1^3*g2^2*g3*t^8.22 + t^8.25/(g1^3*g2*g3) + 2*g1^3*g3*t^8.27 - t^8.28/(g1^3*g2^2*g3) - t^8.3/(g1^3*g2^3*g3) - g1^3*g2^2*t^8.33 + t^8.33/(g1^3*g3^2) - g1^3*g2*t^8.35 - g1^3*t^8.38 - t^8.38/(g1^3*g2^2*g3^2) - t^8.44/(g1^3*g3^3) + 4*g3^3*t^8.69 + g1^6*g2^5*g3^4*t^8.71 + 3*g1^6*g2^4*g3^4*t^8.74 + g2*g3^2*t^8.77 + 4*g3^2*t^8.79 + (g3^2*t^8.82)/g2 + g1^6*g2^5*g3^3*t^8.82 + 3*g1^6*g2^4*g3^3*t^8.84 + g2^2*g3*t^8.85 + g2*g3*t^8.87 + 3*g1^6*g2^3*g3^3*t^8.87 - 9*g3*t^8.9 + g1^12*g2^8*g3^4*t^8.9 + (2*g3*t^8.92)/g2 + 2*g1^6*g2^5*g3^2*t^8.92 + g2^3*t^8.93 + (g3*t^8.94)/g2^2 + 3*g2^2*t^8.95 + 3*g1^6*g2^3*g3^2*t^8.97 - 5*g2*t^8.98 - t^4.5/y - t^6./y - (g1^3*g2^2*g3*t^6.72)/y - (g3*t^7.4)/y + t^7.5/y + t^7.6/(g3*y) + (2*g1^3*g2^2*g3^2*t^8.12)/y + (g1^3*g2^3*g3*t^8.2)/y + (g1^3*g2*g3*t^8.25)/y + t^8.28/(g1^3*g2^2*g3*y) + (g3^2*t^8.79)/y + (g1^6*g2^4*g3^3*t^8.84)/y + (2*g2*g3*t^8.87)/y - (g3*t^8.9)/y + (2*g3*t^8.92)/(g2*y) - (g1^6*g2^4*g3^2*t^8.95)/y + (g1^6*g2^3*g3^2*t^8.97)/y - (g2*t^8.98)/y - t^4.5*y - t^6.*y - g1^3*g2^2*g3*t^6.72*y - g3*t^7.4*y + t^7.5*y + (t^7.6*y)/g3 + 2*g1^3*g2^2*g3^2*t^8.12*y + g1^3*g2^3*g3*t^8.2*y + g1^3*g2*g3*t^8.25*y + (t^8.28*y)/(g1^3*g2^2*g3) + g3^2*t^8.79*y + g1^6*g2^4*g3^3*t^8.84*y + 2*g2*g3*t^8.87*y - g3*t^8.9*y + (2*g3*t^8.92*y)/g2 - g1^6*g2^4*g3^2*t^8.95*y + g1^6*g2^3*g3^2*t^8.97*y - g2*t^8.98*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 |
---|---|---|---|---|---|---|---|---|
58859 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.9876 | 1.1933 | 0.8276 | [X:[1.5364, 1.5088, 1.4912, 1.4636], M:[0.9636, 0.7456], q:[0.2422, 0.2699], qb:[0.2214, 0.2665], phi:[0.5]] | t^2.24 + 2*t^2.89 + t^2.97 + t^3. + t^3.03 + t^3.63 + t^3.76 + t^3.85 + 2*t^4.39 + 3*t^4.47 + t^4.5 + 2*t^4.53 + 2*t^4.61 + 3*t^5.13 + t^5.21 + t^5.24 + 3*t^5.26 + t^5.35 + 3*t^5.78 + 2*t^5.86 + t^5.89 + t^5.92 + t^5.95 - 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | |
58562 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.9904 | 1.2004 | 0.8251 | [X:[1.536, 1.5502, 1.4498, 1.464], M:[0.964, 0.7265, 0.9498], q:[0.2626, 0.2483], qb:[0.2014, 0.2877], phi:[0.5]] | t^2.18 + 2*t^2.85 + 2*t^2.89 + t^3. + t^3.57 + t^3.78 + t^3.83 + 2*t^4.35 + t^4.36 + 2*t^4.39 + t^4.5 + 2*t^4.61 + 2*t^4.65 + 2*t^5.03 + 3*t^5.07 + t^5.18 + t^5.28 + t^5.32 + t^5.33 + 3*t^5.7 + 3*t^5.74 + t^5.75 + 3*t^5.78 + t^5.85 + t^5.89 - 4*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | |
59457 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.0072 | 1.2296 | 0.8191 | [X:[1.5408, 1.5174, 1.4826, 1.4592], M:[0.9592, 0.7552, 0.7274], q:[0.2405, 0.2639], qb:[0.2187, 0.2769], phi:[0.5]] | t^2.18 + t^2.27 + 2*t^2.88 + t^2.95 + t^3. + t^3.05 + t^3.64 + t^3.8 + t^4.36 + 2*t^4.38 + 3*t^4.45 + t^4.5 + t^4.53 + 2*t^4.55 + 2*t^4.62 + 2*t^5.06 + t^5.13 + 3*t^5.14 + t^5.18 + t^5.21 + 2*t^5.23 + t^5.27 + t^5.3 + 2*t^5.32 + 3*t^5.76 + 2*t^5.83 + t^5.88 + t^5.9 + t^5.91 + t^5.93 + t^5.99 - 3*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | |
58811 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.0055 | 1.2242 | 0.8213 | [X:[1.5226, 1.5, 1.5, 1.4774], M:[0.9774, 0.7613, 0.7613], q:[0.2387, 0.2613], qb:[0.2387, 0.2613], phi:[0.5]] | 2*t^2.28 + 2*t^2.93 + 3*t^3. + 2*t^3.78 + 2*t^4.43 + 5*t^4.5 + 5*t^4.57 + 6*t^5.22 + 8*t^5.28 + 3*t^5.86 + 3*t^5.93 - t^6. - 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 |
---|---|---|---|---|---|---|---|---|---|
47905 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.9689 | 1.1591 | 0.8359 | [X:[1.5437, 1.5, 1.5, 1.4563], M:[0.9563], q:[0.2282, 0.2718], qb:[0.2282, 0.2718], phi:[0.5]] | 2*t^2.869 + 3*t^3. + 2*t^3.684 + 2*t^3.816 + 2*t^4.369 + 5*t^4.5 + 2*t^4.631 + 2*t^5.184 + 2*t^5.316 + 3*t^5.738 + 3*t^5.869 - t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |