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 |
---|---|---|---|---|---|---|---|---|---|
45852 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0.6485 | 0.7964 | 0.8143 | [M:[0.7044, 0.6901], q:[0.8132, 0.8346], qb:[0.4753, 0.4681], phi:[0.3522]] | [M:[[0, -2, -2], [-1, -3, 0]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.07 + 2*t^2.113 + t^2.83 + t^3.844 + 2*t^3.865 + 2*t^3.908 + t^4.141 + 2*t^4.184 + 3*t^4.226 + t^4.901 + 3*t^4.943 + t^5.66 + t^5.914 + 2*t^5.936 + t^5.957 + 4*t^5.979 - 3*t^6. + 2*t^6.021 - t^6.043 + t^6.211 + 2*t^6.254 + 3*t^6.297 + 4*t^6.34 + t^6.674 + 2*t^6.696 + 2*t^6.738 + t^6.971 + 2*t^7.014 - 2*t^7.035 + 3*t^7.057 - 2*t^7.078 - t^7.099 + t^7.688 + 2*t^7.709 + 3*t^7.731 + 4*t^7.774 - 2*t^7.795 + 2*t^7.816 + t^7.985 + 2*t^8.006 + t^8.028 + 4*t^8.049 - 2*t^8.07 + 4*t^8.092 - 6*t^8.113 + 2*t^8.135 - 2*t^8.156 + t^8.281 + 2*t^8.324 + 3*t^8.367 + 4*t^8.41 + 5*t^8.453 + t^8.491 + t^8.745 + 2*t^8.766 + t^8.787 + 4*t^8.809 - 5*t^8.83 + 2*t^8.852 - 2*t^8.873 - t^4.057/y - t^6.127/y - (2*t^6.17)/y + (2*t^7.184)/y + t^7.226/y + t^7.901/y + (4*t^7.943)/y + t^7.986/y - t^8.197/y - (2*t^8.24)/y - (3*t^8.283)/y + t^8.914/y + (2*t^8.936)/y + (2*t^8.957)/y + (6*t^8.979)/y - t^4.057*y - t^6.127*y - 2*t^6.17*y + 2*t^7.184*y + t^7.226*y + t^7.901*y + 4*t^7.943*y + t^7.986*y - t^8.197*y - 2*t^8.24*y - 3*t^8.283*y + t^8.914*y + 2*t^8.936*y + 2*t^8.957*y + 6*t^8.979*y | t^2.07/(g1*g2^3) + (2*t^2.113)/(g2^2*g3^2) + g2^3*g3^3*t^2.83 + (g2*g3^4*t^3.844)/g1 + (g2^4*g3*t^3.865)/g1 + (g3^5*t^3.865)/g2 + (g2^5*t^3.908)/g3 + g1*g3^3*t^3.908 + t^4.141/(g1^2*g2^6) + (2*t^4.184)/(g1*g2^5*g3^2) + (3*t^4.226)/(g2^4*g3^4) + (g3^3*t^4.901)/g1 + 3*g2*g3*t^4.943 + g2^6*g3^6*t^5.66 + (g3^4*t^5.914)/(g1^2*g2^2) + (g2*g3*t^5.936)/g1^2 + (g3^5*t^5.936)/(g1*g2^4) + (g3^2*t^5.957)/(g1*g2) + (2*g2^2*t^5.979)/(g1*g3) + (2*g3^3*t^5.979)/g2^3 - 3*t^6. + (g2^3*t^6.021)/g3^3 + (g1*g3*t^6.021)/g2^2 - (g1*g2*t^6.043)/g3^2 + t^6.211/(g1^3*g2^9) + (2*t^6.254)/(g1^2*g2^8*g3^2) + (3*t^6.297)/(g1*g2^7*g3^4) + (4*t^6.34)/(g2^6*g3^6) + (g2^4*g3^7*t^6.674)/g1 + (g2^7*g3^4*t^6.696)/g1 + g2^2*g3^8*t^6.696 + g2^8*g3^2*t^6.738 + g1*g2^3*g3^6*t^6.738 + (g3^3*t^6.971)/(g1^2*g2^3) + (2*g3*t^7.014)/(g1*g2^2) - (g2*t^7.035)/(g1*g3^2) - (g3^2*t^7.035)/g2^4 + (3*t^7.057)/(g2*g3) - (g1*t^7.078)/g2^3 - (g2^2*t^7.078)/g3^4 - (g1*t^7.099)/g3^3 + (g2^2*g3^8*t^7.688)/g1^2 + (g2^5*g3^5*t^7.709)/g1^2 + (g3^9*t^7.709)/g1 + (g2^8*g3^2*t^7.731)/g1^2 + (g2^3*g3^6*t^7.731)/g1 + (g3^10*t^7.731)/g2^2 + (g2^9*t^7.774)/g1 + 2*g2^4*g3^4*t^7.774 + (g1*g3^8*t^7.774)/g2 - g2^7*g3*t^7.795 - g1*g2^2*g3^5*t^7.795 + (g2^10*t^7.816)/g3^2 + g1^2*g3^6*t^7.816 + (g3^4*t^7.985)/(g1^3*g2^5) + (g3*t^8.006)/(g1^3*g2^2) + (g3^5*t^8.006)/(g1^2*g2^7) + (g3^2*t^8.028)/(g1^2*g2^4) + (2*t^8.049)/(g1^2*g2*g3) + (2*g3^3*t^8.049)/(g1*g2^6) - (2*t^8.07)/(g1*g2^3) + (2*t^8.092)/(g1*g3^3) + (2*g3*t^8.092)/g2^5 - (6*t^8.113)/(g2^2*g3^2) + (g2*t^8.135)/g3^5 + (g1*t^8.135)/(g2^4*g3) - (2*g1*t^8.156)/(g2*g3^4) + t^8.281/(g1^4*g2^12) + (2*t^8.324)/(g1^3*g2^11*g3^2) + (3*t^8.367)/(g1^2*g2^10*g3^4) + (4*t^8.41)/(g1*g2^9*g3^6) + (5*t^8.453)/(g2^8*g3^8) + g2^9*g3^9*t^8.491 + (g2*g3^7*t^8.745)/g1^2 + (g2^4*g3^4*t^8.766)/g1^2 + (g3^8*t^8.766)/(g1*g2) + (g2^2*g3^5*t^8.787)/g1 + (2*g2^5*g3^2*t^8.809)/g1 + 2*g3^6*t^8.809 - 5*g2^3*g3^3*t^8.83 + g2^6*t^8.852 + g1*g2*g3^4*t^8.852 - 2*g1*g2^4*g3*t^8.873 - t^4.057/(g2*g3*y) - t^6.127/(g1*g2^4*g3*y) - (2*t^6.17)/(g2^3*g3^3*y) + (2*t^7.184)/(g1*g2^5*g3^2*y) + t^7.226/(g2^4*g3^4*y) + (g3^3*t^7.901)/(g1*y) + (4*g2*g3*t^7.943)/y + (g1*g2^2*t^7.986)/(g3*y) - t^8.197/(g1^2*g2^7*g3*y) - (2*t^8.24)/(g1*g2^6*g3^3*y) - (3*t^8.283)/(g2^5*g3^5*y) + (g3^4*t^8.914)/(g1^2*g2^2*y) + (g2*g3*t^8.936)/(g1^2*y) + (g3^5*t^8.936)/(g1*g2^4*y) + (2*g3^2*t^8.957)/(g1*g2*y) + (3*g2^2*t^8.979)/(g1*g3*y) + (3*g3^3*t^8.979)/(g2^3*y) - (t^4.057*y)/(g2*g3) - (t^6.127*y)/(g1*g2^4*g3) - (2*t^6.17*y)/(g2^3*g3^3) + (2*t^7.184*y)/(g1*g2^5*g3^2) + (t^7.226*y)/(g2^4*g3^4) + (g3^3*t^7.901*y)/g1 + 4*g2*g3*t^7.943*y + (g1*g2^2*t^7.986*y)/g3 - (t^8.197*y)/(g1^2*g2^7*g3) - (2*t^8.24*y)/(g1*g2^6*g3^3) - (3*t^8.283*y)/(g2^5*g3^5) + (g3^4*t^8.914*y)/(g1^2*g2^2) + (g2*g3*t^8.936*y)/g1^2 + (g3^5*t^8.936*y)/(g1*g2^4) + (2*g3^2*t^8.957*y)/(g1*g2) + (3*g2^2*t^8.979*y)/(g1*g3) + (3*g3^3*t^8.979*y)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
45914 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.5344 | 0.6715 | 0.7957 | [M:[0.8779, 1.1221], q:[0.9638, 0.5973], qb:[0.2805, 0.4027], phi:[0.4389]] | t^2.05 + 2*t^2.634 + 2*t^3. + t^3.366 + 2*t^3.733 + 2*t^4.099 + 3*t^4.683 + 2*t^5.05 + 2*t^5.267 + t^5.416 + 2*t^5.634 + 2*t^5.783 + t^6. - t^4.317/y - t^4.317*y | detail | |
45885 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.6484 | 0.7957 | 0.8149 | [M:[0.7032, 0.6984], q:[0.8242, 0.8242], qb:[0.4774, 0.4679], phi:[0.3516]] | t^2.095 + 2*t^2.109 + t^2.836 + t^3.862 + 2*t^3.876 + t^3.905 + t^3.919 + t^4.19 + 2*t^4.205 + 3*t^4.219 + t^4.931 + 3*t^4.945 + t^5.672 + t^5.957 + 3*t^5.971 + 2*t^5.986 - 2*t^6. - t^4.055/y - t^4.055*y | detail | |
45922 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ | 0.5957 | 0.7299 | 0.8162 | [M:[0.7645, 1.0], q:[0.9855, 0.6323], qb:[0.3677, 0.4855], phi:[0.3823]] | 2*t^2.294 + t^2.56 + t^3. + 2*t^3.353 + 2*t^4.06 + t^4.413 + 3*t^4.587 + 3*t^4.853 + t^5.119 + t^5.294 + t^5.56 + 2*t^5.647 + 2*t^5.913 - 2*t^6. - t^4.147/y - t^4.147*y | detail | |
45900 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.669 | 0.8356 | 0.8006 | [M:[0.7, 0.6922, 0.6922], q:[0.825, 0.825], qb:[0.4828, 0.4672], phi:[0.35]] | 2*t^2.077 + 2*t^2.1 + t^2.85 + t^3.853 + 2*t^3.877 + t^3.947 + 3*t^4.153 + 4*t^4.177 + 3*t^4.2 + 2*t^4.927 + 3*t^4.95 + t^5.7 + 2*t^5.93 + 5*t^5.953 + 2*t^5.977 - 3*t^6. - t^4.05/y - t^4.05*y | detail | |
45880 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.6689 | 0.8346 | 0.8015 | [M:[0.6982, 0.6982, 0.6982], q:[0.8254, 0.8254], qb:[0.4763, 0.4763], phi:[0.3491]] | 4*t^2.095 + t^2.858 + 4*t^3.905 + 10*t^4.189 + 5*t^4.953 + t^5.716 + 7*t^6. - t^4.047/y - t^4.047*y | detail | |
45899 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ | 0.6692 | 0.8369 | 0.7996 | [M:[0.7022, 0.6851, 0.6851], q:[0.8074, 0.8415], qb:[0.4734, 0.4734], phi:[0.3511]] | 2*t^2.055 + 2*t^2.106 + t^2.84 + 2*t^3.842 + 2*t^3.894 + 3*t^4.111 + 4*t^4.162 + 3*t^4.213 + 2*t^4.896 + 3*t^4.947 + t^5.681 + 4*t^5.898 + 6*t^5.949 - t^6. - t^4.053/y - t^4.053*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 |
---|---|---|---|---|---|---|---|---|---|
50 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6279 | 0.7568 | 0.8297 | [M:[0.7082], q:[0.823, 0.823], qb:[0.4689, 0.4689], phi:[0.3541]] | 2*t^2.125 + t^2.813 + 6*t^3.875 + 3*t^4.249 + 3*t^4.938 + t^5.626 + 3*t^6. - t^4.062/y - t^4.062*y | detail |