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 |
---|---|---|---|---|---|---|---|---|---|
57608 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4746 | 1.6852 | 0.875 | [X:[], M:[0.9914], q:[0.4913, 0.4999], qb:[0.5087, 0.4829], phi:[0.3362]] | [X:[], M:[[-3, 3]], q:[[-9, 0], [-6, -3]], qb:[[9, 0], [0, 9]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.02 + t^2.92 + t^2.95 + t^2.97 + t^3. + t^3.03 + t^3.93 + t^3.96 + t^4.01 + 2*t^4.03 + 2*t^4.94 + 2*t^4.97 + t^4.99 + 2*t^5.02 + 2*t^5.04 + t^5.43 + t^5.46 + t^5.48 + t^5.51 + t^5.85 + t^5.87 + 2*t^5.9 + t^5.92 + 4*t^5.95 + 2*t^5.97 - 2*t^6. + t^6.03 + 3*t^6.05 - t^6.08 + t^6.44 + t^6.46 + t^6.49 + t^6.52 + t^6.85 + 2*t^6.88 + 2*t^6.91 + 2*t^6.93 + 6*t^6.96 + 4*t^6.98 + 3*t^7.03 + 3*t^7.06 - t^7.09 + t^7.37 + 2*t^7.45 + t^7.47 + t^7.5 + 2*t^7.53 + t^7.6 + 3*t^7.86 + 4*t^7.89 + 4*t^7.91 + 3*t^7.94 + 9*t^7.97 + 4*t^7.99 - 2*t^8.02 + 3*t^8.04 + 5*t^8.07 - 2*t^8.09 + t^8.35 + 2*t^8.38 + 2*t^8.4 + 2*t^8.43 + 3*t^8.46 + t^8.48 - 2*t^8.53 + 2*t^8.54 - 2*t^8.56 - t^8.59 + t^8.77 + t^8.79 + 2*t^8.82 + 2*t^8.85 + 5*t^8.87 + 6*t^8.9 + t^8.92 + 8*t^8.97 - t^4.01/y - t^5.02/y - t^6.03/y - t^6.93/y - t^6.96/y - t^6.98/y - t^7.01/y - (2*t^7.03)/y + t^7.99/y - t^8.04/y + t^8.87/y + t^8.9/y + (2*t^8.92)/y + t^8.95/y + t^8.97/y - t^4.01*y - t^5.02*y - t^6.03*y - t^6.93*y - t^6.96*y - t^6.98*y - t^7.01*y - 2*t^7.03*y + t^7.99*y - t^8.04*y + t^8.87*y + t^8.9*y + 2*t^8.92*y + t^8.95*y + t^8.97*y | (g1^2*t^2.02)/g2^2 + (g2^9*t^2.92)/g1^9 + (g2^6*t^2.95)/g1^6 + (g2^3*t^2.97)/g1^3 + t^3. + (g1^3*t^3.03)/g2^3 + (g2^8*t^3.93)/g1^8 + (g2^5*t^3.96)/g1^5 + (g1*t^4.01)/g2 + (2*g1^4*t^4.03)/g2^4 + (2*g2^7*t^4.94)/g1^7 + (2*g2^4*t^4.97)/g1^4 + (g2*t^4.99)/g1 + (2*g1^2*t^5.02)/g2^2 + (2*g1^5*t^5.04)/g2^5 + g1^10*g2^17*t^5.43 + t^5.46/(g1^23*g2^4) + t^5.48/(g1^20*g2^7) + g1^19*g2^8*t^5.51 + (g2^18*t^5.85)/g1^18 + (g2^15*t^5.87)/g1^15 + (2*g2^12*t^5.9)/g1^12 + (g2^9*t^5.92)/g1^9 + (4*g2^6*t^5.95)/g1^6 + (2*g2^3*t^5.97)/g1^3 - 2*t^6. + (g1^3*t^6.03)/g2^3 + (3*g1^6*t^6.05)/g2^6 - (g1^9*t^6.08)/g2^9 + g1^11*g2^16*t^6.44 + t^6.46/(g1^22*g2^5) + t^6.49/(g1^19*g2^8) + g1^20*g2^7*t^6.52 + (g2^17*t^6.85)/g1^17 + (2*g2^14*t^6.88)/g1^14 + (2*g2^11*t^6.91)/g1^11 + (2*g2^8*t^6.93)/g1^8 + (6*g2^5*t^6.96)/g1^5 + (4*g2^2*t^6.98)/g1^2 + (3*g1^4*t^7.03)/g2^4 + (3*g1^7*t^7.06)/g2^7 - (g1^10*t^7.09)/g2^10 + g1^3*g2^24*t^7.37 + 2*g1^12*g2^15*t^7.45 + (2*t^7.47)/(g1^21*g2^6) - g1^15*g2^12*t^7.47 + (2*t^7.5)/(g1^18*g2^9) - g1^18*g2^9*t^7.5 + 2*g1^21*g2^6*t^7.53 + (g1^30*t^7.6)/g2^3 + (3*g2^16*t^7.86)/g1^16 + (4*g2^13*t^7.89)/g1^13 + (4*g2^10*t^7.91)/g1^10 + (3*g2^7*t^7.94)/g1^7 + (9*g2^4*t^7.97)/g1^4 + (4*g2*t^7.99)/g1 - (2*g1^2*t^8.02)/g2^2 + (3*g1^5*t^8.04)/g2^5 + (5*g1^8*t^8.07)/g2^8 - (2*g1^11*t^8.09)/g2^11 + g1*g2^26*t^8.35 + (g2^5*t^8.38)/g1^32 + g1^4*g2^23*t^8.38 + (2*g2^2*t^8.4)/g1^29 + t^8.43/(g1^26*g2) + g1^10*g2^17*t^8.43 + 3*g1^13*g2^14*t^8.46 + (2*t^8.48)/(g1^20*g2^7) - g1^16*g2^11*t^8.48 + t^8.51/(g1^17*g2^10) - g1^19*g2^8*t^8.51 - (2*t^8.53)/(g1^14*g2^13) + 2*g1^22*g2^5*t^8.54 - t^8.56/(g1^11*g2^16) - g1^25*g2^2*t^8.56 - (g1^28*t^8.59)/g2 + (g2^27*t^8.77)/g1^27 + (g2^24*t^8.79)/g1^24 + (2*g2^21*t^8.82)/g1^21 + (2*g2^18*t^8.85)/g1^18 + (5*g2^15*t^8.87)/g1^15 + (6*g2^12*t^8.9)/g1^12 + (g2^9*t^8.92)/g1^9 + (8*g2^3*t^8.97)/g1^3 - (g1*t^4.01)/(g2*y) - (g1^2*t^5.02)/(g2^2*y) - (g1^3*t^6.03)/(g2^3*y) - (g2^8*t^6.93)/(g1^8*y) - (g2^5*t^6.96)/(g1^5*y) - (g2^2*t^6.98)/(g1^2*y) - (g1*t^7.01)/(g2*y) - (2*g1^4*t^7.03)/(g2^4*y) + (g2*t^7.99)/(g1*y) - (g1^5*t^8.04)/(g2^5*y) + (g2^15*t^8.87)/(g1^15*y) + (g2^12*t^8.9)/(g1^12*y) + (2*g2^9*t^8.92)/(g1^9*y) + (g2^6*t^8.95)/(g1^6*y) + (g2^3*t^8.97)/(g1^3*y) - (g1*t^4.01*y)/g2 - (g1^2*t^5.02*y)/g2^2 - (g1^3*t^6.03*y)/g2^3 - (g2^8*t^6.93*y)/g1^8 - (g2^5*t^6.96*y)/g1^5 - (g2^2*t^6.98*y)/g1^2 - (g1*t^7.01*y)/g2 - (2*g1^4*t^7.03*y)/g2^4 + (g2*t^7.99*y)/g1 - (g1^5*t^8.04*y)/g2^5 + (g2^15*t^8.87*y)/g1^15 + (g2^12*t^8.9*y)/g1^12 + (2*g2^9*t^8.92*y)/g1^9 + (g2^6*t^8.95*y)/g1^6 + (g2^3*t^8.97*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
59505 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ | 1.474 | 1.683 | 0.8759 | [X:[], M:[0.9971, 1.0029], q:[0.4971, 0.5], qb:[0.5029, 0.4942], phi:[0.3343]] | t^2.01 + t^2.97 + t^2.98 + t^3. + 2*t^3.01 + t^3.98 + t^3.99 + t^4. + 2*t^4.01 + 2*t^4.98 + 2*t^4.99 + 5*t^5.01 + t^5.48 + 2*t^5.49 + t^5.5 + t^5.95 + t^5.96 + t^5.97 + 4*t^5.98 + 2*t^5.99 - 3*t^6. - t^4./y - t^5.01/y - t^4.*y - t^5.01*y | detail | |
60569 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4405 | 1.623 | 0.8875 | [X:[1.3439], M:[1.0158], q:[0.4743, 0.4585], qb:[0.5257, 0.5731], phi:[0.3281]] | t^2.95 + t^3. + t^3.05 + t^3.09 + t^3.14 + t^3.94 + t^3.98 + t^4.03 + t^4.08 + t^4.13 + t^4.92 + t^4.97 + t^5.06 + t^5.11 + t^5.16 + t^5.21 + t^5.91 - t^6. - t^3.98/y - t^4.97/y - t^3.98*y - t^4.97*y | detail | |
60062 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4595 | 1.6711 | 0.8734 | [X:[], M:[0.9878], q:[0.4336, 0.4458], qb:[0.5664, 0.5298], phi:[0.3374]] | t^2.02 + t^2.89 + t^2.93 + t^2.96 + t^3. + t^3.04 + t^3.9 + t^3.94 + t^4.01 + 2*t^4.05 + 2*t^4.91 + 3*t^4.95 + 2*t^4.99 + 2*t^5.02 + 2*t^5.06 + t^5.78 + t^5.82 + 2*t^5.85 + 2*t^5.89 + 4*t^5.93 + 3*t^5.96 - 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 |
---|---|---|---|---|---|---|---|---|---|
47928 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.4756 | 1.6901 | 0.8731 | [M:[0.9773], q:[0.5, 0.4773], qb:[0.5, 0.4773], phi:[0.3409]] | t^2.045 + t^2.864 + 3*t^2.932 + t^3. + t^3.886 + 2*t^3.955 + t^4.023 + t^4.091 + 2*t^4.909 + 5*t^4.977 + 2*t^5.045 + 2*t^5.386 + 2*t^5.455 + t^5.727 + 3*t^5.796 + 7*t^5.864 + 2*t^5.932 - t^6. - t^4.023/y - t^5.045/y - t^4.023*y - t^5.045*y | detail |