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 |
---|---|---|---|---|---|---|---|---|---|
58965 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.4243 | 1.6448 | 0.8659 | [X:[], M:[0.8819, 1.1181], q:[0.3578, 0.5939], qb:[0.5242, 0.4075], phi:[0.3528]] | [X:[], M:[[5, -5], [-5, 5]], q:[[-7, -5], [-17, 5]], qb:[[12, 0], [0, 12]], phi:[[2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{5}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | ${}M_{1}M_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.12 + t^2.3 + t^2.65 + t^3. + t^3.18 + 2*t^3.35 + t^3.7 + t^4.06 + t^4.23 + 3*t^4.41 + t^4.59 + 2*t^4.76 + t^4.94 + t^4.99 + t^5.08 + 2*t^5.12 + t^5.29 + t^5.3 + t^5.43 + 4*t^5.47 + 2*t^5.65 + t^5.69 + 2*t^5.82 - t^6. + t^6.01 + t^6.04 + t^6.13 + 2*t^6.18 + t^6.35 + 3*t^6.36 + t^6.39 + t^6.48 + 5*t^6.53 + 6*t^6.71 + t^6.75 + t^6.84 + 3*t^6.88 + t^6.89 - t^7.01 + 3*t^7.06 + t^7.07 + 2*t^7.1 + 2*t^7.19 + 3*t^7.24 + t^7.37 + t^7.41 + 6*t^7.42 + 2*t^7.54 + 5*t^7.59 + t^7.6 - t^7.63 + 8*t^7.77 + 2*t^7.81 + t^7.89 + 3*t^7.94 + t^7.95 - t^7.98 + 2*t^7.99 - t^8.07 + t^8.08 + 6*t^8.12 + 2*t^8.16 + 2*t^8.25 + 2*t^8.34 - t^8.42 + 3*t^8.43 + 10*t^8.47 + t^8.51 + t^8.52 + 2*t^8.6 + 5*t^8.65 + t^8.7 + t^8.78 + 13*t^8.82 + t^8.87 - t^4.06/y - t^5.12/y - t^6.18/y - t^6.35/y - t^6.7/y - t^7.06/y - (2*t^7.23)/y - t^7.41/y + (2*t^7.94)/y - t^8.29/y + t^8.3/y + (2*t^8.65)/y - t^4.06*y - t^5.12*y - t^6.18*y - t^6.35*y - t^6.7*y - t^7.06*y - 2*t^7.23*y - t^7.41*y + 2*t^7.94*y - t^8.29*y + t^8.3*y + 2*t^8.65*y | (g1^4*t^2.12)/g2^4 + (g2^7*t^2.3)/g1^7 + (g1^5*t^2.65)/g2^5 + (g2^17*t^3.)/g1^17 + (g1^6*t^3.18)/g2^6 + (2*g2^5*t^3.35)/g1^5 + (g1^7*t^3.7)/g2^7 + (g2^15*t^4.06)/g1^15 + (g1^8*t^4.23)/g2^8 + (3*g2^3*t^4.41)/g1^3 + (g2^14*t^4.59)/g1^14 + (2*g1^9*t^4.76)/g2^9 + (g2^2*t^4.94)/g1^2 + t^4.99/(g1^29*g2^7) + g1^14*g2^22*t^5.08 + (2*g2^13*t^5.12)/g1^13 + (g1^10*t^5.29)/g2^10 + (g2^24*t^5.3)/g1^24 + g1^26*g2^10*t^5.43 + (4*g2*t^5.47)/g1 + (2*g2^12*t^5.65)/g1^12 + (g2^3*t^5.69)/g1^39 + (2*g1^11*t^5.82)/g2^11 - t^6. + (g2^34*t^6.01)/g1^34 + t^6.04/(g1^27*g2^9) + g1^16*g2^20*t^6.13 + (2*g2^11*t^6.18)/g1^11 + (g1^12*t^6.35)/g2^12 + (3*g2^22*t^6.36)/g1^22 + t^6.39/(g1^15*g2^21) + g1^28*g2^8*t^6.48 + (5*g1*t^6.53)/g2 + (6*g2^10*t^6.71)/g1^10 + (g2*t^6.75)/g1^37 + g1^6*g2^30*t^6.84 + (3*g1^13*t^6.88)/g2^13 + (g2^21*t^6.89)/g1^21 - g1^29*g2^7*t^7.01 + (3*g1^2*t^7.06)/g2^2 + (g2^32*t^7.07)/g1^32 + (2*t^7.1)/(g1^25*g2^11) + 2*g1^18*g2^18*t^7.19 + (3*g2^9*t^7.24)/g1^9 + g1^7*g2^29*t^7.37 + (g1^14*t^7.41)/g2^14 + (6*g2^20*t^7.42)/g1^20 + 2*g1^30*g2^6*t^7.54 + (5*g1^3*t^7.59)/g2^3 + (g2^31*t^7.6)/g1^31 - t^7.63/(g1^24*g2^12) + (8*g2^8*t^7.77)/g1^8 + (2*t^7.81)/(g1^35*g2) + (g1^42*t^7.89)/g2^6 + (3*g1^15*t^7.94)/g2^15 + (g2^19*t^7.95)/g1^19 - t^7.98/(g1^12*g2^24) + (2*g2^10*t^7.99)/g1^46 - g1^31*g2^5*t^8.07 + (g2^39*t^8.08)/g1^3 + (3*g1^4*t^8.12)/g2^4 + (3*g2^30*t^8.12)/g1^30 + (2*t^8.16)/(g1^23*g2^13) + 2*g1^20*g2^16*t^8.25 - (g2^7*t^8.3)/g1^7 + (g2^41*t^8.3)/g1^41 + (2*t^8.34)/(g1^34*g2^2) - (g1^43*t^8.42)/g2^7 + 3*g1^9*g2^27*t^8.43 + (g1^16*t^8.47)/g2^16 + (9*g2^18*t^8.47)/g1^18 + t^8.51/(g1^11*g2^25) + (g2^9*t^8.52)/g1^45 + 2*g1^32*g2^4*t^8.6 + (2*g1^5*t^8.65)/g2^5 + (3*g2^29*t^8.65)/g1^29 + (g2^20*t^8.7)/g1^56 + g1^21*g2^15*t^8.78 + (13*g2^6*t^8.82)/g1^6 + t^8.87/(g1^33*g2^3) - (g1^2*t^4.06)/(g2^2*y) - (g1^4*t^5.12)/(g2^4*y) - (g1^6*t^6.18)/(g2^6*y) - (g2^5*t^6.35)/(g1^5*y) - (g1^7*t^6.7)/(g2^7*y) - (g2^15*t^7.06)/(g1^15*y) - (2*g1^8*t^7.23)/(g2^8*y) - (g2^3*t^7.41)/(g1^3*y) + (2*g2^2*t^7.94)/(g1^2*y) - (g1^10*t^8.29)/(g2^10*y) + (g2^24*t^8.3)/(g1^24*y) + (2*g2^12*t^8.65)/(g1^12*y) - (g1^2*t^4.06*y)/g2^2 - (g1^4*t^5.12*y)/g2^4 - (g1^6*t^6.18*y)/g2^6 - (g2^5*t^6.35*y)/g1^5 - (g1^7*t^6.7*y)/g2^7 - (g2^15*t^7.06*y)/g1^15 - (2*g1^8*t^7.23*y)/g2^8 - (g2^3*t^7.41*y)/g1^3 + (2*g2^2*t^7.94*y)/g1^2 - (g1^10*t^8.29*y)/g2^10 + (g2^24*t^8.3*y)/g1^24 + (2*g2^12*t^8.65*y)/g1^12 |
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
57732 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4351 | 1.6621 | 0.8634 | [X:[], M:[0.8773], q:[0.3567, 0.6022], qb:[0.5205, 0.4151], phi:[0.3509]] | t^2.11 + t^2.32 + 2*t^2.63 + t^3.05 + t^3.16 + t^3.37 + t^3.68 + t^4.1 + t^4.21 + 3*t^4.42 + t^4.63 + 3*t^4.74 + 2*t^4.95 + t^5. + t^5.1 + 2*t^5.16 + 3*t^5.26 + t^5.37 + t^5.42 + 3*t^5.47 + 2*t^5.68 + t^5.74 + 3*t^5.79 - t^6. - t^4.05/y - t^5.11/y - t^4.05*y - t^5.11*y | detail |