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 |
---|---|---|---|---|---|---|---|---|---|
58441 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 1.4699 | 1.6711 | 0.8796 | [X:[1.366], M:[0.9008, 0.6843], q:[0.5215, 0.4712], qb:[0.5777, 0.5275], phi:[0.317]] | [X:[[0, 4]], M:[[3, -7], [-3, -3]], q:[[-2, 6], [1, 5]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -1 | t^2.05 + t^2.7 + t^2.85 + t^3. + 2*t^3.15 + 3*t^4.1 + t^4.11 + t^4.25 + t^4.76 + t^4.9 + t^4.91 + 3*t^5.05 + 3*t^5.2 + t^5.34 + t^5.4 + t^5.49 + t^5.56 + t^5.7 + t^5.71 + 2*t^5.85 + t^5.99 - t^6. + 2*t^6.14 + t^6.15 + t^6.16 + 4*t^6.29 + t^6.3 + t^6.44 + 2*t^6.8 + t^6.81 + 3*t^6.95 + t^6.96 + 4*t^7.09 + 2*t^7.1 + 7*t^7.24 + 3*t^7.25 + 3*t^7.4 + t^7.46 + 2*t^7.55 + 2*t^7.6 + t^7.61 + 2*t^7.75 + t^7.76 + t^7.89 + 3*t^7.9 + 3*t^8.05 + t^8.11 + 10*t^8.2 + t^8.21 + t^8.26 + t^8.34 + 7*t^8.35 + t^8.4 + t^8.41 + 3*t^8.49 + t^8.5 + t^8.55 + t^8.56 + 2*t^8.64 + t^8.69 - 3*t^8.7 + t^8.85 + t^8.86 + t^8.99 + t^8.85/y^2 - t^3.95/y - t^4.9/y - t^6./y - t^6.65/y - t^6.8/y - (2*t^6.95)/y - (2*t^7.1)/y - t^7.6/y + t^7.91/y - t^8.05/y - t^8.06/y + (2*t^8.2)/y + t^8.56/y + t^8.7/y - t^8.71/y + (3*t^8.85)/y - t^8.86/y - t^3.95*y - t^4.9*y - t^6.*y - t^6.65*y - t^6.8*y - 2*t^6.95*y - 2*t^7.1*y - t^7.6*y + t^7.91*y - t^8.05*y - t^8.06*y + 2*t^8.2*y + t^8.56*y + t^8.7*y - t^8.71*y + 3*t^8.85*y - t^8.86*y + t^8.85*y^2 | t^2.05/(g1^3*g2^3) + (g1^3*t^2.7)/g2^7 + t^2.85/g2^6 + g1^3*g2^5*t^3. + 2*g2^6*t^3.15 + 3*g2^4*t^4.1 + t^4.11/(g1^6*g2^6) + (g2^5*t^4.25)/g1^3 + t^4.76/g2^10 + g1^3*g2*t^4.9 + t^4.91/(g1^3*g2^9) + 3*g2^2*t^5.05 + (3*g2^3*t^5.2)/g1^3 + g2^14*t^5.34 + (g1^6*t^5.4)/g2^14 + (g2^15*t^5.49)/g1^3 + (g1^3*t^5.56)/g2^13 + (g1^6*t^5.7)/g2^2 + t^5.71/g2^12 + (2*g1^3*t^5.85)/g2 + g1^6*g2^10*t^5.99 - t^6. + 2*g1^3*g2^11*t^6.14 + (g2*t^6.15)/g1^3 + t^6.16/(g1^9*g2^9) + 4*g2^12*t^6.29 + (g2^2*t^6.3)/g1^6 + (g2^13*t^6.44)/g1^3 + (2*g1^3*t^6.8)/g2^3 + t^6.81/(g1^3*g2^13) + (3*t^6.95)/g2^2 + t^6.96/(g1^6*g2^12) + 4*g1^3*g2^9*t^7.09 + (2*t^7.1)/(g1^3*g2) + 7*g2^10*t^7.24 + (3*t^7.25)/g1^6 + (3*g2^11*t^7.4)/g1^3 + (g1^3*t^7.46)/g2^17 + (2*g2^12*t^7.55)/g1^6 + (2*g1^6*t^7.6)/g2^6 + t^7.61/g2^16 + (2*g1^3*t^7.75)/g2^5 + t^7.76/(g1^3*g2^15) + g1^6*g2^6*t^7.89 + (3*t^7.9)/g2^4 - t^8.05/(g1^3*g2^3) + 4*g1^3*g2^7*t^8.05 + (g1^9*t^8.11)/g2^21 + t^8.2/(g1^6*g2^2) + 9*g2^8*t^8.2 + t^8.21/(g1^12*g2^12) + (g1^6*t^8.26)/g2^20 + g1^3*g2^19*t^8.34 + t^8.35/(g1^9*g2) + (6*g2^9*t^8.35)/g1^3 + (g1^9*t^8.4)/g2^9 + (g1^3*t^8.41)/g2^19 + 3*g2^20*t^8.49 + (g2^10*t^8.5)/g1^6 + (g1^6*t^8.55)/g2^8 + t^8.56/g2^18 + (2*g2^21*t^8.64)/g1^3 + g1^9*g2^3*t^8.69 - (3*g1^3*t^8.7)/g2^7 - t^8.85/g2^6 + 2*g1^6*g2^4*t^8.85 + t^8.86/(g1^6*g2^16) + g1^9*g2^15*t^8.99 + t^8.85/(g2^6*y^2) - t^3.95/(g2^2*y) - t^4.9/(g2^4*y) - t^6./(g1^3*g2^5*y) - (g1^3*t^6.65)/(g2^9*y) - t^6.8/(g2^8*y) - t^6.95/(g1^3*g2^7*y) - (g1^3*g2^3*t^6.95)/y - (2*g2^4*t^7.1)/y - (g1^3*t^7.6)/(g2^11*y) + t^7.91/(g1^3*g2^9*y) - (g2^2*t^8.05)/y - t^8.06/(g1^6*g2^8*y) + (2*g2^3*t^8.2)/(g1^3*y) + (g1^3*t^8.56)/(g2^13*y) + (g1^6*t^8.7)/(g2^2*y) - t^8.71/(g2^12*y) + (3*g1^3*t^8.85)/(g2*y) - t^8.86/(g1^3*g2^11*y) - (t^3.95*y)/g2^2 - (t^4.9*y)/g2^4 - (t^6.*y)/(g1^3*g2^5) - (g1^3*t^6.65*y)/g2^9 - (t^6.8*y)/g2^8 - (t^6.95*y)/(g1^3*g2^7) - g1^3*g2^3*t^6.95*y - 2*g2^4*t^7.1*y - (g1^3*t^7.6*y)/g2^11 + (t^7.91*y)/(g1^3*g2^9) - g2^2*t^8.05*y - (t^8.06*y)/(g1^6*g2^8) + (2*g2^3*t^8.2*y)/g1^3 + (g1^3*t^8.56*y)/g2^13 + (g1^6*t^8.7*y)/g2^2 - (t^8.71*y)/g2^12 + (3*g1^3*t^8.85*y)/g2 - (t^8.86*y)/(g1^3*g2^11) + (t^8.85*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 |
---|---|---|---|---|---|---|---|---|
61240 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.3944 | 1.6153 | 0.8632 | [X:[1.2758], M:[0.8968, 0.9137], q:[0.4941, 0.3046], qb:[0.6091, 0.4196], phi:[0.3621]] | t^2.17 + t^2.69 + 3*t^2.74 + t^3.26 + 3*t^3.83 + 2*t^4.35 + 2*t^4.4 + t^4.86 + 5*t^4.91 + t^4.96 + t^5.38 + 3*t^5.43 + 8*t^5.48 + t^5.95 + 4*t^6. - t^4.09/y - t^5.17/y - t^4.09*y - t^5.17*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 |
---|---|---|---|---|---|---|---|---|---|
57372 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4704 | 1.672 | 0.8794 | [X:[1.3641], M:[0.9043, 0.6854], q:[0.5119, 0.4822], qb:[0.5838, 0.5145], phi:[0.3179]] | t^2.056 + t^2.713 + t^2.861 + t^2.99 + t^3.079 + t^3.198 + t^4.033 + t^4.092 + t^4.112 + t^4.152 + t^4.241 + t^4.769 + t^4.898 + t^4.917 + t^4.987 + t^5.046 + t^5.105 + t^5.136 + t^5.195 + t^5.254 + t^5.383 + t^5.426 + t^5.472 + t^5.574 + t^5.703 + t^5.723 + t^5.792 + t^5.852 + t^5.941 + t^5.98 - 3*t^6. - t^3.954/y - t^4.908/y - t^3.954*y - t^4.908*y | detail |