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 |
---|---|---|---|---|---|---|---|---|---|
57977 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4464 | 1.6305 | 0.8871 | [X:[1.3517], M:[0.9172, 1.0276], q:[0.4977, 0.4667], qb:[0.5851, 0.5057], phi:[0.3241]] | [X:[[0, 4]], M:[[0, -18], [0, 6]], q:[[1, 17], [-2, -6]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.75 + t^2.92 + t^3.01 + t^3.08 + t^3.16 + t^3.89 + t^3.98 + t^4.06 + t^4.13 + t^4.22 + t^4.86 + t^4.95 + t^5.1 + t^5.19 + t^5.27 + t^5.36 + t^5.5 + t^5.67 + t^5.76 + 2*t^5.83 + t^5.93 - 2*t^6. + t^6.02 + t^6.07 + 2*t^6.17 + t^6.24 + t^6.31 + t^6.33 + t^6.64 + t^6.73 + 2*t^6.81 + 2*t^6.9 + t^6.97 + t^6.99 + t^7.04 + t^7.05 + t^7.07 + t^7.12 + 3*t^7.14 + 2*t^7.21 + t^7.23 + t^7.28 + 2*t^7.3 + t^7.4 + t^7.47 + t^7.61 + t^7.71 + t^7.78 + 2*t^7.87 + t^7.94 + 2*t^7.97 + 3*t^8.02 + 4*t^8.11 + 2*t^8.18 + t^8.2 + 2*t^8.26 + 3*t^8.28 + t^8.35 + t^8.37 + 2*t^8.42 + t^8.44 + t^8.51 + 2*t^8.59 - t^8.61 + t^8.68 - t^8.75 + t^8.77 + 2*t^8.84 + 2*t^8.94 + 2*t^8.99 + t^8.92/y^2 - t^3.97/y - t^4.94/y - t^6.72/y - t^6.89/y - t^6.98/y - t^7.06/y - t^7.13/y - t^7.7/y - t^7.86/y - t^7.95/y - t^8.03/y - t^8.1/y + t^8.67/y + t^8.76/y + t^8.91/y - t^3.97*y - t^4.94*y - t^6.72*y - t^6.89*y - t^6.98*y - t^7.06*y - t^7.13*y - t^7.7*y - t^7.86*y - t^7.95*y - t^8.03*y - t^8.1*y + t^8.67*y + t^8.76*y + t^8.91*y + t^8.92*y^2 | t^2.75/g2^18 + t^2.92/g2^6 + g1^3*g2^17*t^3.01 + g2^6*t^3.08 + t^3.16/(g1^3*g2^5) + t^3.89/g2^8 + g1^3*g2^15*t^3.98 + g2^4*t^4.06 + t^4.13/(g1^3*g2^7) + g2^16*t^4.22 + t^4.86/g2^10 + g1^3*g2^13*t^4.95 + t^5.1/(g1^3*g2^9) + g2^14*t^5.19 + (g2^3*t^5.27)/g1^3 + g2^26*t^5.36 + t^5.5/g2^36 + t^5.67/g2^24 + (g1^3*t^5.76)/g2 + (2*t^5.83)/g2^12 + g1^3*g2^11*t^5.93 - 2*t^6. + g1^6*g2^34*t^6.02 + t^6.07/(g1^3*g2^11) + 2*g2^12*t^6.17 + (g2*t^6.24)/g1^3 + t^6.31/(g1^6*g2^10) + g2^24*t^6.33 + t^6.64/g2^26 + (g1^3*t^6.73)/g2^3 + (2*t^6.81)/g2^14 + 2*g1^3*g2^9*t^6.9 + t^6.97/g2^2 + g1^6*g2^32*t^6.99 + t^7.04/(g1^3*g2^13) + t^7.05/(g1^3*g2^13) + g1^3*g2^21*t^7.07 + t^7.12/(g1^6*g2^24) + 3*g2^10*t^7.14 + (2*t^7.21)/(g1^3*g2) + g1^3*g2^33*t^7.23 + t^7.28/(g1^6*g2^12) + 2*g2^22*t^7.3 + g1^3*g2^45*t^7.4 + (g1^6*t^7.47)/g2^6 + t^7.61/g2^28 + (g1^3*t^7.71)/g2^5 + t^7.78/g2^16 + 2*g1^3*g2^7*t^7.87 + t^7.94/g2^4 + 2*g1^6*g2^30*t^7.97 + (3*t^8.02)/(g1^3*g2^15) + 4*g2^8*t^8.11 + (2*t^8.18)/(g1^3*g2^3) + g1^3*g2^31*t^8.2 + t^8.26/g2^54 + t^8.26/(g1^6*g2^14) + 3*g2^20*t^8.28 + (g2^9*t^8.35)/g1^3 + g1^3*g2^43*t^8.37 + t^8.42/g2^42 + t^8.42/(g1^6*g2^2) + g2^32*t^8.44 + (g2^21*t^8.51)/g1^3 + (2*t^8.59)/g2^30 - g1^6*g2^4*t^8.61 + (g1^3*t^8.68)/g2^7 - t^8.75/g2^18 + g1^6*g2^16*t^8.77 + 2*g1^3*g2^5*t^8.84 + 2*g1^6*g2^28*t^8.94 + (2*t^8.99)/(g1^3*g2^17) + t^8.92/(g2^6*y^2) - t^3.97/(g2^2*y) - t^4.94/(g2^4*y) - t^6.72/(g2^20*y) - t^6.89/(g2^8*y) - (g1^3*g2^15*t^6.98)/y - (g2^4*t^7.06)/y - t^7.13/(g1^3*g2^7*y) - t^7.7/(g2^22*y) - t^7.86/(g2^10*y) - (g1^3*g2^13*t^7.95)/y - (g2^2*t^8.03)/y - t^8.1/(g1^3*g2^9*y) + t^8.67/(g2^24*y) + (g1^3*t^8.76)/(g2*y) + t^8.91/(g1^3*g2^23*y) - (t^3.97*y)/g2^2 - (t^4.94*y)/g2^4 - (t^6.72*y)/g2^20 - (t^6.89*y)/g2^8 - g1^3*g2^15*t^6.98*y - g2^4*t^7.06*y - (t^7.13*y)/(g1^3*g2^7) - (t^7.7*y)/g2^22 - (t^7.86*y)/g2^10 - g1^3*g2^13*t^7.95*y - g2^2*t^8.03*y - (t^8.1*y)/(g1^3*g2^9) + (t^8.67*y)/g2^24 + (g1^3*t^8.76*y)/g2 + (t^8.91*y)/(g1^3*g2^23) + (t^8.92*y^2)/g2^6 |
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 |
---|---|---|---|---|---|---|---|---|
60945 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4673 | 1.6718 | 0.8776 | [X:[1.3518], M:[0.9168, 1.0277, 0.6714], q:[0.4983, 0.4661], qb:[0.5849, 0.5062], phi:[0.3241]] | t^2.01 + t^2.75 + t^2.92 + t^3.01 + t^3.08 + t^3.15 + t^3.89 + t^4.03 + t^4.06 + t^4.13 + t^4.22 + t^4.76 + t^4.86 + t^4.93 + t^4.96 + t^5.03 + 2*t^5.1 + t^5.17 + t^5.19 + t^5.26 + t^5.36 + t^5.5 + t^5.67 + t^5.76 + 2*t^5.83 + t^5.9 + t^5.93 - 2*t^6. - t^3.97/y - t^4.94/y - t^5.99/y - t^3.97*y - t^4.94*y - t^5.99*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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
57307 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4518 | 1.6306 | 0.8903 | [X:[1.3795], M:[0.9159, 0.9457], q:[0.5105, 0.5119], qb:[0.5736, 0.5425], phi:[0.3103]] | t^2.748 + t^2.792 + t^2.837 + t^3.159 + t^3.256 + t^4.09 + t^4.094 + t^4.138 + t^4.183 + t^4.187 + t^5.02 + t^5.025 + t^5.114 + t^5.118 + t^5.495 + t^5.529 + t^5.533 + t^5.54 + 2*t^5.585 + t^5.629 + t^5.674 + t^5.906 + t^5.951 - 3*t^6. - t^3.931/y - t^4.862/y - t^3.931*y - t^4.862*y | detail |