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 |
---|---|---|---|---|---|---|---|---|---|
1617 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ | 0.6511 | 0.7974 | 0.8166 | [M:[1.1698, 1.1069, 0.956, 1.0, 0.8302, 0.7862, 1.044], q:[0.7767, 0.4371], qb:[0.3931, 0.6069], phi:[0.4465]] | [M:[[-3], [4], [-11], [0], [3], [-8], [11]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{5}$ | ${}$ | -1 | t^2.358 + t^2.491 + t^3. + t^3.132 + t^3.321 + t^3.509 + t^3.698 + t^3.83 + t^3.962 + t^4.151 + t^4.34 + t^4.472 + t^4.717 + t^4.849 + 2*t^4.981 + t^5.491 + t^5.623 + t^5.679 + t^5.811 - t^6. + t^6.057 + t^6.189 + t^6.264 + 2*t^6.321 + 2*t^6.453 + t^6.642 + t^6.698 + 2*t^6.83 + 2*t^6.962 + t^7.075 + t^7.094 + t^7.208 + t^7.283 + t^7.34 + t^7.396 + 3*t^7.472 + t^7.528 + t^7.604 + 2*t^7.66 + t^7.792 + t^7.925 + t^7.981 + 2*t^8.038 + 2*t^8.113 + t^8.17 + 2*t^8.302 - 2*t^8.358 + t^8.415 + t^8.434 - 2*t^8.491 + t^8.547 + 2*t^8.679 + t^8.755 + 2*t^8.811 - t^8.868 + 3*t^8.943 - t^4.34/y - t^6.698/y + t^7.849/y + t^7.981/y + t^8.358/y + (2*t^8.491)/y + t^8.623/y + t^8.679/y + t^8.811/y + t^8.868/y - t^4.34*y - t^6.698*y + t^7.849*y + t^7.981*y + t^8.358*y + 2*t^8.491*y + t^8.623*y + t^8.679*y + t^8.811*y + t^8.868*y | t^2.358/g1^8 + g1^3*t^2.491 + t^3. + g1^11*t^3.132 + g1^4*t^3.321 + t^3.509/g1^3 + t^3.698/g1^10 + g1*t^3.83 + g1^12*t^3.962 + g1^5*t^4.151 + t^4.34/g1^2 + g1^9*t^4.472 + t^4.717/g1^16 + t^4.849/g1^5 + 2*g1^6*t^4.981 + g1^3*t^5.491 + g1^14*t^5.623 + t^5.679/g1^4 + g1^7*t^5.811 - t^6. + t^6.057/g1^18 + t^6.189/g1^7 + g1^22*t^6.264 + 2*g1^4*t^6.321 + 2*g1^15*t^6.453 + g1^8*t^6.642 + t^6.698/g1^10 + 2*g1*t^6.83 + 2*g1^12*t^6.962 + t^7.075/g1^24 + g1^23*t^7.094 + t^7.208/g1^13 + g1^16*t^7.283 + t^7.34/g1^2 + t^7.396/g1^20 + 3*g1^9*t^7.472 + t^7.528/g1^9 + g1^20*t^7.604 + 2*g1^2*t^7.66 + g1^13*t^7.792 + g1^24*t^7.925 + g1^6*t^7.981 + (2*t^8.038)/g1^12 + 2*g1^17*t^8.113 + t^8.17/g1 + 2*g1^10*t^8.302 - (2*t^8.358)/g1^8 + t^8.415/g1^26 + g1^21*t^8.434 - 2*g1^3*t^8.491 + t^8.547/g1^15 + (2*t^8.679)/g1^4 + g1^25*t^8.755 + 2*g1^7*t^8.811 - t^8.868/g1^11 + 3*g1^18*t^8.943 - t^4.34/(g1^2*y) - t^6.698/(g1^10*y) + t^7.849/(g1^5*y) + (g1^6*t^7.981)/y + t^8.358/(g1^8*y) + (2*g1^3*t^8.491)/y + (g1^14*t^8.623)/y + t^8.679/(g1^4*y) + (g1^7*t^8.811)/y + t^8.868/(g1^11*y) - (t^4.34*y)/g1^2 - (t^6.698*y)/g1^10 + (t^7.849*y)/g1^5 + g1^6*t^7.981*y + (t^8.358*y)/g1^8 + 2*g1^3*t^8.491*y + g1^14*t^8.623*y + (t^8.679*y)/g1^4 + g1^7*t^8.811*y + (t^8.868*y)/g1^11 |
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 |
---|---|---|---|---|---|---|---|---|
4009 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6711 | 0.8346 | 0.8041 | [M:[1.1693, 1.1076, 0.9542, 1.0, 0.8307, 0.7849, 1.0458, 0.7231], q:[0.7769, 0.4382], qb:[0.3924, 0.6076], phi:[0.4462]] | t^2.169 + t^2.355 + t^2.492 + t^3. + t^3.137 + t^3.323 + t^3.508 + t^3.693 + t^3.968 + t^4.153 + 2*t^4.339 + t^4.476 + t^4.524 + t^4.661 + t^4.709 + t^4.847 + 2*t^4.984 + t^5.169 + t^5.307 + 2*t^5.492 + t^5.629 + 2*t^5.677 + t^5.815 + t^5.863 - t^6. - t^4.339/y - t^4.339*y | detail | |
4089 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6719 | 0.8383 | 0.8015 | [M:[1.1688, 1.1082, 0.9524, 1.0, 0.8312, 0.7836, 1.0476, 0.6754], q:[0.7771, 0.4394], qb:[0.3918, 0.6082], phi:[0.4459]] | t^2.026 + t^2.351 + t^2.493 + t^3. + t^3.143 + t^3.325 + t^3.507 + t^3.688 + t^3.831 + t^4.052 + t^4.156 + t^4.338 + t^4.377 + t^4.48 + t^4.52 + t^4.701 + t^4.844 + 2*t^4.987 + t^5.026 + t^5.169 + t^5.351 + t^5.493 + t^5.533 + t^5.636 + t^5.675 + t^5.714 + t^5.818 + t^5.857 - t^6. - t^4.338/y - t^4.338*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 |
---|---|---|---|---|---|---|---|---|---|
1037 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6579 | 0.8085 | 0.8137 | [M:[1.1541, 1.1279, 0.8983, 1.0, 0.8459, 0.7442], q:[0.782, 0.4738], qb:[0.3721, 0.6279], phi:[0.436]] | t^2.233 + t^2.538 + t^2.695 + t^3. + t^3.384 + t^3.462 + t^3.541 + t^3.846 + t^4.151 + t^4.23 + t^4.308 + t^4.465 + t^4.613 + t^4.77 + t^4.927 + 2*t^5.076 + t^5.233 + t^5.39 + t^5.616 + t^5.695 + t^5.773 + t^5.921 - t^6. - t^4.308/y - t^4.308*y | detail |