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 |
---|---|---|---|---|---|---|---|---|---|
46915 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ | 0.57 | 0.6947 | 0.8205 | [X:[1.4014], M:[1.1972, 0.9977, 0.8028, 0.5986, 1.0023], q:[0.2993, 0.5035], qb:[0.703, 0.8979], phi:[0.3991]] | [X:[[6]], M:[[-12], [-10], [12], [-6], [10]], q:[[-3], [15]], qb:[[13], [-9]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.394 + t^2.408 + t^2.993 + t^3.007 + t^3.592 + t^3.606 + t^3.62 + t^4.204 + t^4.218 + t^4.789 + 2*t^4.803 + t^4.817 + t^5.401 + t^5.415 + t^5.986 + 2*t^6.014 + t^6.028 + 2*t^6.613 + 2*t^6.626 + t^7.183 + t^7.197 + 2*t^7.211 + 2*t^7.225 + t^7.239 + t^7.81 + 2*t^7.824 + t^7.838 - t^8.394 + 3*t^8.422 + 2*t^8.436 - 2*t^8.993 - t^4.197/y - t^6.592/y + (2*t^7.803)/y + t^8.387/y + (2*t^8.401)/y + t^8.415/y - t^4.197*y - t^6.592*y + 2*t^7.803*y + t^8.387*y + 2*t^8.401*y + t^8.415*y | t^2.394/g1^8 + g1^12*t^2.408 + t^2.993/g1^10 + g1^10*t^3.007 + t^3.592/g1^12 + g1^8*t^3.606 + g1^28*t^3.62 + g1^6*t^4.204 + g1^26*t^4.218 + t^4.789/g1^16 + 2*g1^4*t^4.803 + g1^24*t^4.817 + g1^2*t^5.401 + g1^22*t^5.415 + t^5.986/g1^20 + 2*g1^20*t^6.014 + g1^40*t^6.028 + 2*g1^18*t^6.613 + 2*g1^38*t^6.626 + t^7.183/g1^24 + t^7.197/g1^4 + 2*g1^16*t^7.211 + 2*g1^36*t^7.225 + g1^56*t^7.239 + g1^14*t^7.81 + 2*g1^34*t^7.824 + g1^54*t^7.838 - t^8.394/g1^8 + 3*g1^32*t^8.422 + 2*g1^52*t^8.436 - (2*t^8.993)/g1^10 - t^4.197/(g1^4*y) - t^6.592/(g1^12*y) + (2*g1^4*t^7.803)/y + t^8.387/(g1^18*y) + (2*g1^2*t^8.401)/y + (g1^22*t^8.415)/y - (t^4.197*y)/g1^4 - (t^6.592*y)/g1^12 + 2*g1^4*t^7.803*y + (t^8.387*y)/g1^18 + 2*g1^2*t^8.401*y + g1^22*t^8.415*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 |
---|---|---|---|---|---|---|---|---|
55236 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{1}M_{6}$ | 0.5867 | 0.7259 | 0.8083 | [X:[1.3951], M:[1.2097, 1.0081, 0.7903, 0.6049, 0.9919, 0.7903], q:[0.3024, 0.4879], qb:[0.6895, 0.9073], phi:[0.4032]] | 2*t^2.371 + t^2.419 + t^2.976 + t^3.024 + t^3.532 + t^3.581 + t^4.137 + t^4.185 + 3*t^4.742 + 3*t^4.79 + t^4.839 + 2*t^5.347 + 2*t^5.395 + 2*t^5.903 + 3*t^5.951 - t^6. - t^4.21/y - t^4.21*y | detail | |
55269 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{6}$ | 0.5709 | 0.6949 | 0.8216 | [X:[1.4103], M:[1.1795, 0.9829, 0.8205, 0.5897, 1.0171, 0.9829], q:[0.2949, 0.5257], qb:[0.7222, 0.8846], phi:[0.3932]] | t^2.359 + t^2.462 + 2*t^2.949 + t^3.538 + t^3.641 + t^3.744 + t^4.231 + t^4.333 + t^4.718 + 2*t^4.821 + t^4.923 + t^5.308 + t^5.41 + 3*t^5.897 - t^6. - t^4.179/y - t^4.179*y | detail | |
55152 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.5868 | 0.7236 | 0.811 | [X:[1.4057], M:[1.1886, 0.9905, 0.8114, 0.5943, 1.0095, 0.7924], q:[0.2971, 0.5143], qb:[0.7124, 0.8914], phi:[0.3962]] | 2*t^2.377 + t^2.434 + t^2.971 + t^3.029 + t^3.566 + t^3.68 + t^4.217 + t^4.274 + 3*t^4.754 + 3*t^4.811 + t^4.868 + t^5.349 + 2*t^5.406 + t^5.463 + 2*t^5.943 - t^6. - t^4.189/y - t^4.189*y | detail | |
55165 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.3537 | 0.4162 | 0.8498 | [X:[1.5714, 1.4286], M:[0.8571, 0.7143, 1.1429, 0.4286, 1.2857], q:[0.2143, 0.9286], qb:[1.0714, 0.6429], phi:[0.2857]] | t^2.143 + t^2.571 + t^3.429 + 2*t^4.286 + t^4.714 + t^5.143 - t^6. - t^3.857/y - t^3.857*y | detail | {a: 1941/5488, c: 571/1372, X1: 11/7, X2: 10/7, M1: 6/7, M2: 5/7, M3: 8/7, M4: 3/7, M5: 9/7, q1: 3/14, q2: 13/14, qb1: 15/14, qb2: 9/14, 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 |
---|---|---|---|---|---|---|---|---|---|
46787 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6525 | 0.8144 | 0.8012 | [M:[1.1532, 0.7165, 0.8468, 0.8211, 0.7945], q:[0.4106, 0.4363], qb:[0.873, 0.7426], phi:[0.3844]] | t^2.149 + t^2.306 + t^2.383 + t^2.463 + t^2.54 + t^3.46 + t^3.694 + t^3.771 + t^3.928 + t^4.299 + t^4.456 + t^4.533 + 2*t^4.613 + 2*t^4.69 + t^4.767 + t^4.77 + 3*t^4.847 + t^4.924 + t^4.927 + t^5.004 + t^5.081 + t^5.609 + t^5.843 + t^5.92 - t^6. - t^4.153/y - t^4.153*y | detail |