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 |
---|---|---|---|---|---|---|---|---|---|
57573 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4381 | 1.6292 | 0.8827 | [X:[1.3255], M:[0.9883], q:[0.4379, 0.4379], qb:[0.5621, 0.5386], phi:[0.3372]] | [X:[[0, 6]], M:[[0, 9]], q:[[-1, 10], [1, 0]], qb:[[0, -5], [0, 13]], phi:[[0, -3]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | 2*t^2.93 + t^2.96 + 2*t^3. + 2*t^3.94 + t^3.98 + 2*t^4.01 + 4*t^4.95 + 2*t^5.02 + 3*t^5.86 + 2*t^5.89 + 5*t^5.93 + 4*t^5.96 - 2*t^6. - t^6.07 + 4*t^6.87 + 4*t^6.91 + 8*t^6.94 + 8*t^6.98 - t^7.01 - t^7.08 + 12*t^7.88 + 4*t^7.92 + 12*t^7.95 + 4*t^8.79 + 3*t^8.82 + 8*t^8.86 + 16*t^8.89 - 2*t^8.93 + 8*t^8.96 - t^4.01/y - t^5.02/y - (2*t^6.94)/y - t^6.98/y - (2*t^7.01)/y - (2*t^7.95)/y - t^7.99/y - (2*t^8.02)/y + t^8.86/y + (2*t^8.89)/y + (4*t^8.93)/y - t^4.01*y - t^5.02*y - 2*t^6.94*y - t^6.98*y - 2*t^7.01*y - 2*t^7.95*y - t^7.99*y - 2*t^8.02*y + t^8.86*y + 2*t^8.89*y + 4*t^8.93*y | g1*g2^13*t^2.93 + (g2^23*t^2.93)/g1 + g2^9*t^2.96 + (g1*t^3.)/g2^5 + (g2^5*t^3.)/g1 + g1*g2^10*t^3.94 + (g2^20*t^3.94)/g1 + g2^6*t^3.98 + (g1*t^4.01)/g2^8 + (g2^2*t^4.01)/g1 + 2*g1*g2^7*t^4.95 + (2*g2^17*t^4.95)/g1 + (g1*t^5.02)/g2^11 + t^5.02/(g1*g2) + g1^2*g2^26*t^5.86 + g2^36*t^5.86 + (g2^46*t^5.86)/g1^2 + g1*g2^22*t^5.89 + (g2^32*t^5.89)/g1 + g1^2*g2^8*t^5.93 + 3*g2^18*t^5.93 + (g2^28*t^5.93)/g1^2 + 2*g1*g2^4*t^5.96 + (2*g2^14*t^5.96)/g1 - 2*t^6. - t^6.07/g2^18 + g1^2*g2^23*t^6.87 + 2*g2^33*t^6.87 + (g2^43*t^6.87)/g1^2 + 2*g1*g2^19*t^6.91 + (2*g2^29*t^6.91)/g1 + 2*g1^2*g2^5*t^6.94 + 4*g2^15*t^6.94 + (2*g2^25*t^6.94)/g1^2 + (g1^3*t^6.98)/g2^9 + 3*g1*g2*t^6.98 + (3*g2^11*t^6.98)/g1 + (g2^21*t^6.98)/g1^3 - t^7.01/g2^3 - t^7.08/g2^21 + 3*g1^2*g2^20*t^7.88 + 6*g2^30*t^7.88 + (3*g2^40*t^7.88)/g1^2 + 2*g1*g2^16*t^7.92 + (2*g2^26*t^7.92)/g1 + 3*g1^2*g2^2*t^7.95 + 6*g2^12*t^7.95 + (3*g2^22*t^7.95)/g1^2 + g1^3*g2^39*t^8.79 + g1*g2^49*t^8.79 + (g2^59*t^8.79)/g1 + (g2^69*t^8.79)/g1^3 + g1^2*g2^35*t^8.82 + g2^45*t^8.82 + (g2^55*t^8.82)/g1^2 + g1^3*g2^21*t^8.86 + 3*g1*g2^31*t^8.86 + (3*g2^41*t^8.86)/g1 + (g2^51*t^8.86)/g1^3 + 4*g1^2*g2^17*t^8.89 + 8*g2^27*t^8.89 + (4*g2^37*t^8.89)/g1^2 - g1*g2^13*t^8.93 - (g2^23*t^8.93)/g1 + (3*g1^2*t^8.96)/g2 + 2*g2^9*t^8.96 + (3*g2^19*t^8.96)/g1^2 - t^4.01/(g2^3*y) - t^5.02/(g2^6*y) - (g1*g2^10*t^6.94)/y - (g2^20*t^6.94)/(g1*y) - (g2^6*t^6.98)/y - (g1*t^7.01)/(g2^8*y) - (g2^2*t^7.01)/(g1*y) - (g1*g2^7*t^7.95)/y - (g2^17*t^7.95)/(g1*y) - (g2^3*t^7.99)/y - (g1*t^8.02)/(g2^11*y) - t^8.02/(g1*g2*y) + (g2^36*t^8.86)/y + (g1*g2^22*t^8.89)/y + (g2^32*t^8.89)/(g1*y) + (g1^2*g2^8*t^8.93)/y + (2*g2^18*t^8.93)/y + (g2^28*t^8.93)/(g1^2*y) - (t^4.01*y)/g2^3 - (t^5.02*y)/g2^6 - g1*g2^10*t^6.94*y - (g2^20*t^6.94*y)/g1 - g2^6*t^6.98*y - (g1*t^7.01*y)/g2^8 - (g2^2*t^7.01*y)/g1 - g1*g2^7*t^7.95*y - (g2^17*t^7.95*y)/g1 - g2^3*t^7.99*y - (g1*t^8.02*y)/g2^11 - (t^8.02*y)/(g1*g2) + g2^36*t^8.86*y + g1*g2^22*t^8.89*y + (g2^32*t^8.89*y)/g1 + g1^2*g2^8*t^8.93*y + 2*g2^18*t^8.93*y + (g2^28*t^8.93*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
60693 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4588 | 1.6693 | 0.8739 | [X:[1.3267], M:[0.99, 0.6819], q:[0.4374, 0.4404], qb:[0.5611, 0.5411], phi:[0.3367]] | t^2.05 + 2*t^2.94 + t^2.97 + 2*t^3. + t^3.95 + t^3.98 + 2*t^4.01 + t^4.09 + 4*t^4.96 + t^4.98 + t^4.99 + 3*t^5.02 + t^5.04 + t^5.05 + t^5.87 + t^5.88 + t^5.89 + 2*t^5.91 + t^5.93 + 3*t^5.94 + t^5.95 + 4*t^5.97 + t^5.99 - 2*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*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 |
---|---|---|---|---|---|---|---|---|---|
47924 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4375 | 1.625 | 0.8846 | [X:[1.3333], q:[0.4444, 0.4444], qb:[0.5556, 0.5556], phi:[0.3333]] | 5*t^3. + 5*t^4. + 6*t^5. + 11*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {a: 23/16, c: 13/8, X1: 4/3, q1: 4/9, q2: 4/9, qb1: 5/9, qb2: 5/9, phi1: 1/3} |