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 |
---|---|---|---|---|---|---|---|---|---|
47928 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.4756 | 1.6901 | 0.8731 | [M:[0.9773], q:[0.5, 0.4773], qb:[0.5, 0.4773], phi:[0.3409]] | [M:[[3, 0, 3]], q:[[0, -1, 0], [6, 0, 0]], qb:[[0, 1, 0], [0, 0, 6]], phi:[[-1, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -1 | t^2.045 + t^2.864 + 3*t^2.932 + t^3. + t^3.886 + 2*t^3.955 + t^4.023 + t^4.091 + 2*t^4.909 + 5*t^4.977 + 2*t^5.045 + 2*t^5.386 + 2*t^5.455 + t^5.727 + 3*t^5.796 + 7*t^5.864 + 2*t^5.932 - t^6. - t^6.068 + t^6.136 + 2*t^6.409 + 2*t^6.477 + t^6.75 + 5*t^6.818 + 8*t^6.886 + 5*t^6.955 + 3*t^7.023 + 2*t^7.364 + 2*t^7.432 + 2*t^7.5 + 2*t^7.568 + 3*t^7.773 + 9*t^7.841 + 16*t^7.909 + 6*t^7.977 - t^8.045 - 3*t^8.114 + t^8.182 + 2*t^8.25 + 8*t^8.318 + 6*t^8.386 - 2*t^8.455 - 4*t^8.523 - t^8.591 + 3*t^8.659 + 7*t^8.727 + 13*t^8.796 + 5*t^8.864 - 2*t^8.932 - t^4.023/y - t^5.045/y - t^6.068/y - t^6.886/y - (3*t^6.955)/y - t^7.023/y - t^7.091/y + t^7.977/y - t^8.114/y + (3*t^8.796)/y + (4*t^8.864)/y + (2*t^8.932)/y - t^4.023*y - t^5.045*y - t^6.068*y - t^6.886*y - 3*t^6.955*y - t^7.023*y - t^7.091*y + t^7.977*y - t^8.114*y + 3*t^8.796*y + 4*t^8.864*y + 2*t^8.932*y | t^2.045/(g1^2*g3^2) + g1^6*g3^6*t^2.864 + g1^6*g2*t^2.932 + g1^3*g3^3*t^2.932 + (g3^6*t^2.932)/g2 + t^3. + g1^5*g3^5*t^3.886 + (g1^5*g2*t^3.955)/g3 + (g3^5*t^3.955)/(g1*g2) + t^4.023/(g1*g3) + t^4.091/(g1^4*g3^4) + 2*g1^4*g3^4*t^4.909 + (2*g1^4*g2*t^4.977)/g3^2 + g1*g3*t^4.977 + (2*g3^4*t^4.977)/(g1^2*g2) + (2*t^5.045)/(g1^2*g3^2) + (g1^11*t^5.386)/(g2*g3) + (g2*g3^11*t^5.386)/g1 + (g1^5*t^5.455)/(g2^2*g3) + (g2^2*g3^5*t^5.455)/g1 + g1^12*g3^12*t^5.727 + g1^12*g2*g3^6*t^5.796 + g1^9*g3^9*t^5.796 + (g1^6*g3^12*t^5.796)/g2 + g1^12*g2^2*t^5.864 + g1^9*g2*g3^3*t^5.864 + 3*g1^6*g3^6*t^5.864 + (g1^3*g3^9*t^5.864)/g2 + (g3^12*t^5.864)/g2^2 + 2*g1^3*g3^3*t^5.932 - 3*t^6. + (g1^3*g2*t^6.)/g3^3 + (g3^3*t^6.)/(g1^3*g2) - t^6.068/(g1^6*g2) - (g2*t^6.068)/g3^6 + t^6.068/(g1^3*g3^3) + t^6.136/(g1^6*g3^6) + (g1^10*t^6.409)/(g2*g3^2) + (g2*g3^10*t^6.409)/g1^2 + (g1^4*t^6.477)/(g2^2*g3^2) + (g2^2*g3^4*t^6.477)/g1^2 + g1^11*g3^11*t^6.75 + 2*g1^11*g2*g3^5*t^6.818 + g1^8*g3^8*t^6.818 + (2*g1^5*g3^11*t^6.818)/g2 + (g1^11*g2^2*t^6.886)/g3 + g1^8*g2*g3^2*t^6.886 + 4*g1^5*g3^5*t^6.886 + (g1^2*g3^8*t^6.886)/g2 + (g3^11*t^6.886)/(g1*g2^2) + (g1^5*g2*t^6.955)/g3 + 3*g1^2*g3^2*t^6.955 + (g3^5*t^6.955)/(g1*g2) + (2*g1^2*g2*t^7.023)/g3^4 - t^7.023/(g1*g3) + (2*g3^2*t^7.023)/(g1^4*g2) - (g2*t^7.091)/(g1*g3^7) + (2*t^7.091)/(g1^4*g3^4) - t^7.091/(g1^7*g2*g3) + (g1^15*t^7.364)/g3^3 + (g3^15*t^7.364)/g1^3 - (g1^6*t^7.432)/g2^2 + (2*g1^9*t^7.432)/(g2*g3^3) - g2^2*g3^6*t^7.432 + (2*g2*g3^9*t^7.432)/g1^3 - (g1^6*t^7.5)/(g2*g3^6) + (2*g1^3*t^7.5)/(g2^2*g3^3) + (2*g2^2*g3^3*t^7.5)/g1^3 - (g2*g3^6*t^7.5)/g1^6 + t^7.568/(g1^3*g2^3*g3^3) + (g2^3*t^7.568)/(g1^3*g3^3) + 3*g1^10*g3^10*t^7.773 + 4*g1^10*g2*g3^4*t^7.841 + g1^7*g3^7*t^7.841 + (4*g1^4*g3^10*t^7.841)/g2 + (3*g1^10*g2^2*t^7.909)/g3^2 + g1^7*g2*g3*t^7.909 + 8*g1^4*g3^4*t^7.909 + (g1*g3^7*t^7.909)/g2 + (3*g3^10*t^7.909)/(g1^2*g2^2) + (2*g1^4*g2*t^7.977)/g3^2 + 2*g1*g3*t^7.977 + (2*g3^4*t^7.977)/(g1^2*g2) + (g1*g2*t^8.045)/g3^5 - (3*t^8.045)/(g1^2*g3^2) + (g3*t^8.045)/(g1^5*g2) - (2*g2*t^8.114)/(g1^2*g3^8) + t^8.114/(g1^5*g3^5) - (2*t^8.114)/(g1^8*g2*g3^2) + t^8.182/(g1^8*g3^8) + (g1^17*g3^5*t^8.25)/g2 + g1^5*g2*g3^17*t^8.25 + (g1^17*t^8.318)/g3 + (g1^14*g3^2*t^8.318)/g2 + (2*g1^11*g3^5*t^8.318)/g2^2 + 2*g1^5*g2^2*g3^11*t^8.318 + g1^2*g2*g3^14*t^8.318 + (g3^17*t^8.318)/g1 + (g1^11*t^8.386)/(g2*g3) + (g1^8*g3^2*t^8.386)/g2^2 + (g1^5*g3^5*t^8.386)/g2^3 + g1^5*g2^3*g3^5*t^8.386 + g1^2*g2^2*g3^8*t^8.386 + (g2*g3^11*t^8.386)/g1 - (g1^11*t^8.455)/g3^7 + (g1^8*t^8.455)/(g2*g3^4) - (g1^5*t^8.455)/(g2^2*g3) - (g2^2*g3^5*t^8.455)/g1 + (g2*g3^8*t^8.455)/g1^4 - (g3^11*t^8.455)/g1^7 - (2*g1^5*t^8.523)/(g2*g3^7) + (g1^2*t^8.523)/(g2^2*g3^4) - t^8.523/(g1*g2^3*g3) - (g2^3*t^8.523)/(g1*g3) + (g2^2*g3^2*t^8.523)/g1^4 - (2*g2*g3^5*t^8.523)/g1^7 - t^8.591/(g1*g2^2*g3^7) - (g2^2*t^8.591)/(g1^7*g3) + g1^18*g3^18*t^8.591 + g1^18*g2*g3^12*t^8.659 + g1^15*g3^15*t^8.659 + (g1^12*g3^18*t^8.659)/g2 + g1^18*g2^2*g3^6*t^8.727 + g1^15*g2*g3^9*t^8.727 + 3*g1^12*g3^12*t^8.727 + (g1^9*g3^15*t^8.727)/g2 + (g1^6*g3^18*t^8.727)/g2^2 + g1^18*g2^3*t^8.796 + g1^15*g2^2*g3^3*t^8.796 + 2*g1^12*g2*g3^6*t^8.796 + 5*g1^9*g3^9*t^8.796 + (2*g1^6*g3^12*t^8.796)/g2 + (g1^3*g3^15*t^8.796)/g2^2 + (g3^18*t^8.796)/g2^3 + 4*g1^9*g2*g3^3*t^8.864 - 3*g1^6*g3^6*t^8.864 + (4*g1^3*g3^9*t^8.864)/g2 - 5*g1^6*g2*t^8.932 + (2*g1^9*g2^2*t^8.932)/g3^3 + 4*g1^3*g3^3*t^8.932 - (5*g3^6*t^8.932)/g2 + (2*g3^9*t^8.932)/(g1^3*g2^2) - t^4.023/(g1*g3*y) - t^5.045/(g1^2*g3^2*y) - t^6.068/(g1^3*g3^3*y) - (g1^5*g3^5*t^6.886)/y - (g1^5*g2*t^6.955)/(g3*y) - (g1^2*g3^2*t^6.955)/y - (g3^5*t^6.955)/(g1*g2*y) - t^7.023/(g1*g3*y) - t^7.091/(g1^4*g3^4*y) + (g1*g3*t^7.977)/y - t^8.114/(g1^5*g3^5*y) + (g1^12*g2*g3^6*t^8.796)/y + (g1^9*g3^9*t^8.796)/y + (g1^6*g3^12*t^8.796)/(g2*y) + (g1^9*g2*g3^3*t^8.864)/y + (2*g1^6*g3^6*t^8.864)/y + (g1^3*g3^9*t^8.864)/(g2*y) + (g1^6*g2*t^8.932)/y + (g3^6*t^8.932)/(g2*y) - (t^4.023*y)/(g1*g3) - (t^5.045*y)/(g1^2*g3^2) - (t^6.068*y)/(g1^3*g3^3) - g1^5*g3^5*t^6.886*y - (g1^5*g2*t^6.955*y)/g3 - g1^2*g3^2*t^6.955*y - (g3^5*t^6.955*y)/(g1*g2) - (t^7.023*y)/(g1*g3) - (t^7.091*y)/(g1^4*g3^4) + g1*g3*t^7.977*y - (t^8.114*y)/(g1^5*g3^5) + g1^12*g2*g3^6*t^8.796*y + g1^9*g3^9*t^8.796*y + (g1^6*g3^12*t^8.796*y)/g2 + g1^9*g2*g3^3*t^8.864*y + 2*g1^6*g3^6*t^8.864*y + (g1^3*g3^9*t^8.864*y)/g2 + g1^6*g2*t^8.932*y + (g3^6*t^8.932*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|
57608 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4746 | 1.6852 | 0.875 | [X:[], M:[0.9914], q:[0.4913, 0.4999], qb:[0.5087, 0.4829], phi:[0.3362]] | t^2.02 + t^2.92 + t^2.95 + t^2.97 + t^3. + t^3.03 + t^3.93 + t^3.96 + t^4.01 + 2*t^4.03 + 2*t^4.94 + 2*t^4.97 + t^4.99 + 2*t^5.02 + 2*t^5.04 + t^5.43 + t^5.46 + t^5.48 + t^5.51 + t^5.85 + t^5.87 + 2*t^5.9 + t^5.92 + 4*t^5.95 + 2*t^5.97 - 2*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail | |
57607 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4405 | 1.6225 | 0.8878 | [X:[1.345], M:[1.0176], q:[0.5267, 0.5729], qb:[0.4733, 0.4622], phi:[0.3275]] | t^2.97 + t^3. + t^3.05 + t^3.11 + t^3.14 + t^3.95 + t^3.98 + t^4.04 + t^4.09 + t^4.12 + t^4.93 + t^4.96 + t^5.07 + t^5.1 + t^5.18 + t^5.21 + t^5.93 - 2*t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*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 |
---|---|---|---|---|---|---|---|---|---|
47870 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ | 1.4767 | 1.6956 | 0.8709 | [M:[0.961], q:[0.4805, 0.4805], qb:[0.4805, 0.4805], phi:[0.3463]] | t^2.078 + 5*t^2.883 + 4*t^3.922 + t^4.156 + 9*t^4.961 + 4*t^5.363 + 15*t^5.766 - 4*t^6. - t^4.039/y - t^5.078/y - t^4.039*y - t^5.078*y | detail |