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 |
---|---|---|---|---|---|---|---|---|---|
48140 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ | 0.6503 | 0.8006 | 0.8123 | [M:[0.948, 1.1584, 1.0875, 0.8416, 0.8416], q:[0.4905, 0.5615], qb:[0.3511, 0.7719], phi:[0.4563]] | [M:[[-10], [-8], [4], [8], [8]], q:[[11], [-1]], qb:[[-3], [1]], phi:[[-2]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | 2*t^2.525 + t^2.738 + t^2.844 + t^3.262 + t^3.369 + t^3.787 + t^3.894 + t^4. + t^4.106 + t^4.312 + t^4.525 + t^4.738 + 3*t^5.05 + 2*t^5.262 + t^5.369 + t^5.475 + t^5.688 + t^5.787 + 2*t^5.894 - 2*t^6. + t^6.106 + 2*t^6.312 + t^6.418 + 2*t^6.525 + 2*t^6.631 + 2*t^6.837 + t^6.844 + 3*t^7.05 + t^7.156 + 2*t^7.262 + t^7.475 + 5*t^7.574 + t^7.681 + 3*t^7.787 + 2*t^7.894 + t^8. + t^8.099 + t^8.206 + 2*t^8.213 + 2*t^8.312 + 3*t^8.418 - 4*t^8.525 + t^8.532 + t^8.624 + t^8.631 - 2*t^8.738 + 4*t^8.837 - t^8.844 + t^8.943 - t^8.95 - t^4.369/y - t^6.894/y - t^7.213/y + t^7.525/y + t^7.844/y + t^8.05/y + (2*t^8.262)/y + (2*t^8.369)/y + t^8.582/y + (2*t^8.787)/y + (2*t^8.894)/y - t^4.369*y - t^6.894*y - t^7.213*y + t^7.525*y + t^7.844*y + t^8.05*y + 2*t^8.262*y + 2*t^8.369*y + t^8.582*y + 2*t^8.787*y + 2*t^8.894*y | 2*g1^8*t^2.525 + t^2.738/g1^4 + t^2.844/g1^10 + g1^4*t^3.262 + t^3.369/g1^2 + g1^12*t^3.787 + g1^6*t^3.894 + t^4. + t^4.106/g1^6 + g1^20*t^4.312 + g1^8*t^4.525 + t^4.738/g1^4 + 3*g1^16*t^5.05 + 2*g1^4*t^5.262 + t^5.369/g1^2 + t^5.475/g1^8 + t^5.688/g1^20 + g1^12*t^5.787 + 2*g1^6*t^5.894 - 2*t^6. + t^6.106/g1^6 + 2*g1^20*t^6.312 + g1^14*t^6.418 + 2*g1^8*t^6.525 + 2*g1^2*t^6.631 + 2*g1^28*t^6.837 + t^6.844/g1^10 + 3*g1^16*t^7.05 + g1^10*t^7.156 + 2*g1^4*t^7.262 + t^7.475/g1^8 + 5*g1^24*t^7.574 + g1^18*t^7.681 + 3*g1^12*t^7.787 + 2*g1^6*t^7.894 + t^8. + g1^32*t^8.099 + g1^26*t^8.206 + (2*t^8.213)/g1^12 + 2*g1^20*t^8.312 + 3*g1^14*t^8.418 - 4*g1^8*t^8.525 + t^8.532/g1^30 + g1^40*t^8.624 + g1^2*t^8.631 - (2*t^8.738)/g1^4 + 4*g1^28*t^8.837 - t^8.844/g1^10 + g1^22*t^8.943 - t^8.95/g1^16 - t^4.369/(g1^2*y) - (g1^6*t^6.894)/y - t^7.213/(g1^12*y) + (g1^8*t^7.525)/y + t^7.844/(g1^10*y) + (g1^16*t^8.05)/y + (2*g1^4*t^8.262)/y + (2*t^8.369)/(g1^2*y) + t^8.582/(g1^14*y) + (2*g1^12*t^8.787)/y + (2*g1^6*t^8.894)/y - (t^4.369*y)/g1^2 - g1^6*t^6.894*y - (t^7.213*y)/g1^12 + g1^8*t^7.525*y + (t^7.844*y)/g1^10 + g1^16*t^8.05*y + 2*g1^4*t^8.262*y + (2*t^8.369*y)/g1^2 + (t^8.582*y)/g1^14 + 2*g1^12*t^8.787*y + 2*g1^6*t^8.894*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 |
---|---|---|---|---|---|---|---|---|
55440 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6701 | 0.8368 | 0.8008 | [M:[0.9349, 1.148, 1.0927, 0.852, 0.852, 0.7219], q:[0.5049, 0.5602], qb:[0.3472, 0.7732], phi:[0.4537]] | t^2.166 + 2*t^2.556 + t^2.722 + t^2.805 + t^3.278 + t^3.361 + t^3.917 + t^4. + t^4.083 + t^4.332 + t^4.39 + t^4.556 + 3*t^4.722 + t^4.888 + t^4.971 + 3*t^5.112 + 2*t^5.278 + t^5.361 + 2*t^5.444 + t^5.527 + t^5.61 + t^5.834 + 2*t^5.917 - 2*t^6. - t^4.361/y - t^4.361*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 |
---|---|---|---|---|---|---|---|---|---|
46699 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.6373 | 0.7771 | 0.8201 | [M:[0.9242, 1.1394, 1.097, 0.8606], q:[0.5167, 0.5591], qb:[0.3439, 0.7742], phi:[0.4515]] | t^2.582 + t^2.709 + t^2.773 + t^3.291 + t^3.355 + t^3.418 + t^3.873 + t^3.936 + t^4. + t^4.064 + t^4.455 + t^4.582 + t^4.709 + t^5.164 + t^5.291 + t^5.418 + t^5.545 + t^5.936 - t^6. - t^4.355/y - t^4.355*y | detail |