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 |
---|---|---|---|---|---|---|---|---|---|
58253 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7104 | 0.9088 | 0.7817 | [M:[0.8265, 1.0, 1.1735, 0.7961, 0.7549, 1.102, 0.7245, 0.6941], q:[0.398, 0.7755], qb:[0.602, 0.4284], phi:[0.449]] | [M:[[3], [0], [-3], [-8], [10], [4], [-1], [-12]], q:[[-4], [1]], qb:[[4], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{8}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{2}M_{7}$, ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$ | ${}$ | -1 | t^2.082 + t^2.174 + t^2.265 + t^2.388 + t^2.479 + t^3. + t^3.091 + t^3.306 + t^3.521 + t^4.132 + t^4.165 + t^4.256 + 3*t^4.347 + 2*t^4.438 + t^4.471 + t^4.529 + 2*t^4.562 + 2*t^4.653 + t^4.744 + t^4.777 + t^4.868 + 2*t^4.959 + t^5.082 + 2*t^5.174 + 2*t^5.265 + t^5.356 + t^5.388 + 2*t^5.479 + 2*t^5.571 + t^5.603 + 2*t^5.694 + 2*t^5.785 - t^6. + t^6.182 + t^6.247 + t^6.306 + t^6.338 + 2*t^6.397 + 3*t^6.429 + 4*t^6.521 + t^6.553 + 5*t^6.612 + 2*t^6.644 + 2*t^6.703 + 3*t^6.735 + t^6.794 + 3*t^6.826 + t^6.859 + 2*t^6.918 + 2*t^6.95 + t^7.009 + 3*t^7.041 + 2*t^7.132 + 2*t^7.165 + 2*t^7.223 + 2*t^7.256 + 3*t^7.347 + 5*t^7.438 + t^7.471 + 3*t^7.529 + 2*t^7.562 + t^7.62 + 4*t^7.653 + t^7.685 + 3*t^7.744 + 2*t^7.777 + 2*t^7.835 + 3*t^7.868 + 3*t^7.959 + 3*t^8.05 - 2*t^8.174 + t^8.33 + t^8.356 - 2*t^8.388 + t^8.421 + t^8.447 + 3*t^8.512 + 2*t^8.571 + 3*t^8.603 + t^8.636 + 3*t^8.662 + 5*t^8.694 + 2*t^8.727 + 5*t^8.785 + 3*t^8.818 + 6*t^8.876 + 3*t^8.909 + t^8.941 + 2*t^8.967 - t^4.347/y - t^6.429/y - t^6.521/y - t^6.612/y - t^6.735/y + t^7.256/y + t^7.347/y + t^7.438/y + t^7.471/y + (2*t^7.562)/y + (2*t^7.653)/y + t^7.744/y + t^7.868/y + t^7.959/y + (2*t^8.082)/y + (3*t^8.174)/y + (3*t^8.265)/y + t^8.356/y + (2*t^8.388)/y + (3*t^8.479)/y - t^8.512/y + (2*t^8.571)/y + t^8.785/y - t^8.818/y - t^8.876/y - t^4.347*y - t^6.429*y - t^6.521*y - t^6.612*y - t^6.735*y + t^7.256*y + t^7.347*y + t^7.438*y + t^7.471*y + 2*t^7.562*y + 2*t^7.653*y + t^7.744*y + t^7.868*y + t^7.959*y + 2*t^8.082*y + 3*t^8.174*y + 3*t^8.265*y + t^8.356*y + 2*t^8.388*y + 3*t^8.479*y - t^8.512*y + 2*t^8.571*y + t^8.785*y - t^8.818*y - t^8.876*y | t^2.082/g1^12 + t^2.174/g1 + g1^10*t^2.265 + t^2.388/g1^8 + g1^3*t^2.479 + t^3. + g1^11*t^3.091 + g1^4*t^3.306 + t^3.521/g1^3 + g1^5*t^4.132 + t^4.165/g1^24 + t^4.256/g1^13 + (3*t^4.347)/g1^2 + 2*g1^9*t^4.438 + t^4.471/g1^20 + g1^20*t^4.529 + (2*t^4.562)/g1^9 + 2*g1^2*t^4.653 + g1^13*t^4.744 + t^4.777/g1^16 + t^4.868/g1^5 + 2*g1^6*t^4.959 + t^5.082/g1^12 + (2*t^5.174)/g1 + 2*g1^10*t^5.265 + g1^21*t^5.356 + t^5.388/g1^8 + 2*g1^3*t^5.479 + 2*g1^14*t^5.571 + t^5.603/g1^15 + (2*t^5.694)/g1^4 + 2*g1^7*t^5.785 - t^6. + g1^22*t^6.182 + t^6.247/g1^36 + g1^4*t^6.306 + t^6.338/g1^25 + 2*g1^15*t^6.397 + (3*t^6.429)/g1^14 + (4*t^6.521)/g1^3 + t^6.553/g1^32 + 5*g1^8*t^6.612 + (2*t^6.644)/g1^21 + 2*g1^19*t^6.703 + (3*t^6.735)/g1^10 + g1^30*t^6.794 + 3*g1*t^6.826 + t^6.859/g1^28 + 2*g1^12*t^6.918 + (2*t^6.95)/g1^17 + g1^23*t^7.009 + (3*t^7.041)/g1^6 + 2*g1^5*t^7.132 + (2*t^7.165)/g1^24 + 2*g1^16*t^7.223 + (2*t^7.256)/g1^13 + (3*t^7.347)/g1^2 + 5*g1^9*t^7.438 + t^7.471/g1^20 + 3*g1^20*t^7.529 + (2*t^7.562)/g1^9 + g1^31*t^7.62 + 4*g1^2*t^7.653 + t^7.685/g1^27 + 3*g1^13*t^7.744 + (2*t^7.777)/g1^16 + 2*g1^24*t^7.835 + (3*t^7.868)/g1^5 + 3*g1^6*t^7.959 + 3*g1^17*t^8.05 - (2*t^8.174)/g1 + t^8.33/g1^48 + g1^21*t^8.356 - (2*t^8.388)/g1^8 + t^8.421/g1^37 + g1^32*t^8.447 + (3*t^8.512)/g1^26 + 2*g1^14*t^8.571 + (3*t^8.603)/g1^15 + t^8.636/g1^44 + 3*g1^25*t^8.662 + (5*t^8.694)/g1^4 + (2*t^8.727)/g1^33 + 5*g1^7*t^8.785 + (3*t^8.818)/g1^22 + 6*g1^18*t^8.876 + (3*t^8.909)/g1^11 + t^8.941/g1^40 + 2*g1^29*t^8.967 - t^4.347/(g1^2*y) - t^6.429/(g1^14*y) - t^6.521/(g1^3*y) - (g1^8*t^6.612)/y - t^6.735/(g1^10*y) + t^7.256/(g1^13*y) + t^7.347/(g1^2*y) + (g1^9*t^7.438)/y + t^7.471/(g1^20*y) + (2*t^7.562)/(g1^9*y) + (2*g1^2*t^7.653)/y + (g1^13*t^7.744)/y + t^7.868/(g1^5*y) + (g1^6*t^7.959)/y + (2*t^8.082)/(g1^12*y) + (3*t^8.174)/(g1*y) + (3*g1^10*t^8.265)/y + (g1^21*t^8.356)/y + (2*t^8.388)/(g1^8*y) + (3*g1^3*t^8.479)/y - t^8.512/(g1^26*y) + (2*g1^14*t^8.571)/y + (g1^7*t^8.785)/y - t^8.818/(g1^22*y) - (g1^18*t^8.876)/y - (t^4.347*y)/g1^2 - (t^6.429*y)/g1^14 - (t^6.521*y)/g1^3 - g1^8*t^6.612*y - (t^6.735*y)/g1^10 + (t^7.256*y)/g1^13 + (t^7.347*y)/g1^2 + g1^9*t^7.438*y + (t^7.471*y)/g1^20 + (2*t^7.562*y)/g1^9 + 2*g1^2*t^7.653*y + g1^13*t^7.744*y + (t^7.868*y)/g1^5 + g1^6*t^7.959*y + (2*t^8.082*y)/g1^12 + (3*t^8.174*y)/g1 + 3*g1^10*t^8.265*y + g1^21*t^8.356*y + (2*t^8.388*y)/g1^8 + 3*g1^3*t^8.479*y - (t^8.512*y)/g1^26 + 2*g1^14*t^8.571*y + g1^7*t^8.785*y - (t^8.818*y)/g1^22 - g1^18*t^8.876*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
56101 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6899 | 0.8698 | 0.7931 | [M:[0.8241, 1.0, 1.1759, 0.8025, 0.7469, 1.0988, 0.7253], q:[0.4012, 0.7747], qb:[0.5988, 0.4228], phi:[0.4506]] | t^2.176 + t^2.241 + t^2.407 + t^2.472 + t^3. + t^3.065 + t^3.296 + t^3.528 + t^3.889 + t^4.12 + 2*t^4.352 + 2*t^4.417 + t^4.481 + t^4.583 + 2*t^4.648 + t^4.713 + t^4.815 + t^4.88 + 2*t^4.944 + t^5.176 + 2*t^5.241 + t^5.305 + 2*t^5.472 + 2*t^5.537 + 2*t^5.704 + 2*t^5.768 - t^6. - t^4.352/y - t^4.352*y | detail |