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 |
|---|---|---|---|---|---|---|---|---|---|
| 3210 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6309 | 0.8246 | 0.7652 | [M:[1.2787, 0.8196, 0.9508, 1.1475, 0.8525, 0.7213, 0.7541], q:[0.3115, 0.4098], qb:[0.7377, 0.4427], phi:[0.5246]] | [M:[[18], [-26], [4], [-12], [12], [-18], [20]], q:[[-5], [-13]], qb:[[1], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}q_{1}^{2}$ | ${}M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | 0 | t^2.164 + 2*t^2.262 + t^2.459 + t^2.557 + t^2.852 + t^3.148 + 2*t^3.443 + t^3.836 + t^4.033 + t^4.131 + t^4.23 + t^4.328 + 2*t^4.426 + 3*t^4.525 + t^4.623 + 3*t^4.721 + 2*t^4.82 + t^4.918 + 2*t^5.016 + 3*t^5.115 + 2*t^5.311 + 3*t^5.41 + 2*t^5.606 + 4*t^5.705 + t^5.901 + t^6.099 + t^6.197 + 3*t^6.295 + 2*t^6.394 + 4*t^6.492 + 4*t^6.59 + 4*t^6.689 + 6*t^6.787 + 4*t^6.885 + 4*t^6.984 + 4*t^7.082 + 3*t^7.18 + 4*t^7.279 + 6*t^7.377 + 3*t^7.475 + 3*t^7.574 + 6*t^7.672 + 3*t^7.77 + 3*t^7.869 + 5*t^7.967 + 2*t^8.065 + t^8.066 + 2*t^8.164 + 2*t^8.36 + 2*t^8.361 + t^8.459 + 2*t^8.557 + 2*t^8.655 + 2*t^8.656 + 7*t^8.754 + 2*t^8.852 + 2*t^8.95 + 5*t^8.951 - t^4.574/y - t^6.836/y - t^7.033/y + (2*t^7.426)/y + t^7.525/y + t^7.623/y + (3*t^7.721)/y + (2*t^7.82)/y + (2*t^8.016)/y + (3*t^8.115)/y + (3*t^8.311)/y + (3*t^8.41)/y + (3*t^8.606)/y + (5*t^8.705)/y + (2*t^8.901)/y - t^4.574*y - t^6.836*y - t^7.033*y + 2*t^7.426*y + t^7.525*y + t^7.623*y + 3*t^7.721*y + 2*t^7.82*y + 2*t^8.016*y + 3*t^8.115*y + 3*t^8.311*y + 3*t^8.41*y + 3*t^8.606*y + 5*t^8.705*y + 2*t^8.901*y | t^2.164/g1^18 + 2*g1^20*t^2.262 + t^2.459/g1^26 + g1^12*t^2.557 + g1^4*t^2.852 + t^3.148/g1^4 + (2*t^3.443)/g1^12 + g1^18*t^3.836 + t^4.033/g1^28 + g1^10*t^4.131 + g1^48*t^4.23 + t^4.328/g1^36 + 2*g1^2*t^4.426 + 3*g1^40*t^4.525 + t^4.623/g1^44 + (3*t^4.721)/g1^6 + 2*g1^32*t^4.82 + t^4.918/g1^52 + (2*t^5.016)/g1^14 + 3*g1^24*t^5.115 + (2*t^5.311)/g1^22 + 3*g1^16*t^5.41 + (2*t^5.606)/g1^30 + 4*g1^8*t^5.705 + t^5.901/g1^38 + g1^38*t^6.099 + t^6.197/g1^46 + (3*t^6.295)/g1^8 + 2*g1^30*t^6.394 + (2*t^6.492)/g1^54 + 2*g1^68*t^6.492 + (4*t^6.59)/g1^16 + 4*g1^22*t^6.689 + t^6.787/g1^62 + 5*g1^60*t^6.787 + (4*t^6.885)/g1^24 + 4*g1^14*t^6.984 + t^7.082/g1^70 + 3*g1^52*t^7.082 + (3*t^7.18)/g1^32 + 4*g1^6*t^7.279 + t^7.377/g1^78 + 5*g1^44*t^7.377 + (3*t^7.475)/g1^40 + (3*t^7.574)/g1^2 + 6*g1^36*t^7.672 + (3*t^7.77)/g1^48 + (3*t^7.869)/g1^10 + 5*g1^28*t^7.967 + (2*t^8.065)/g1^56 + g1^66*t^8.066 + (2*t^8.164)/g1^18 + (2*t^8.36)/g1^64 + 2*g1^58*t^8.361 + g1^96*t^8.459 + 2*g1^12*t^8.557 + (2*t^8.655)/g1^72 + 2*g1^50*t^8.656 + (4*t^8.754)/g1^34 + 3*g1^88*t^8.754 + 2*g1^4*t^8.852 + (2*t^8.95)/g1^80 + 5*g1^42*t^8.951 - t^4.574/(g1^2*y) - (g1^18*t^6.836)/y - t^7.033/(g1^28*y) + (2*g1^2*t^7.426)/y + (g1^40*t^7.525)/y + t^7.623/(g1^44*y) + (3*t^7.721)/(g1^6*y) + (2*g1^32*t^7.82)/y + (2*t^8.016)/(g1^14*y) + (3*g1^24*t^8.115)/y + (3*t^8.311)/(g1^22*y) + (3*g1^16*t^8.41)/y + (3*t^8.606)/(g1^30*y) + (5*g1^8*t^8.705)/y + (2*t^8.901)/(g1^38*y) - (t^4.574*y)/g1^2 - g1^18*t^6.836*y - (t^7.033*y)/g1^28 + 2*g1^2*t^7.426*y + g1^40*t^7.525*y + (t^7.623*y)/g1^44 + (3*t^7.721*y)/g1^6 + 2*g1^32*t^7.82*y + (2*t^8.016*y)/g1^14 + 3*g1^24*t^8.115*y + (3*t^8.311*y)/g1^22 + 3*g1^16*t^8.41*y + (3*t^8.606*y)/g1^30 + 5*g1^8*t^8.705*y + (2*t^8.901*y)/g1^38 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5101 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}M_{8}$ | 0.6182 | 0.8027 | 0.7701 | [M:[1.2872, 0.8073, 0.9527, 1.1418, 0.8582, 0.7128, 0.7636, 1.1418], q:[0.3091, 0.4037], qb:[0.7382, 0.4545], phi:[0.5236]] | t^2.138 + 2*t^2.291 + t^2.422 + t^2.858 + t^3.142 + 3*t^3.426 + t^3.862 + t^3.993 + t^4.145 + t^4.277 + t^4.298 + 2*t^4.429 + t^4.56 + 3*t^4.582 + 2*t^4.713 + t^4.844 + t^4.996 + 2*t^5.149 + 2*t^5.28 + 2*t^5.433 + 3*t^5.564 + 5*t^5.716 + 2*t^5.848 - 2*t^6. - t^4.571/y - t^4.571*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2111 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6123 | 0.7909 | 0.7741 | [M:[1.2873, 0.8072, 0.9527, 1.1418, 0.8582, 0.7127], q:[0.3091, 0.4036], qb:[0.7382, 0.4546], phi:[0.5236]] | t^2.138 + t^2.291 + t^2.422 + t^2.575 + t^2.858 + t^3.142 + 2*t^3.425 + t^3.709 + t^3.862 + t^3.992 + t^4.146 + t^4.276 + t^4.299 + t^4.429 + t^4.56 + t^4.582 + 2*t^4.713 + t^4.843 + t^4.866 + 2*t^4.996 + 2*t^5.149 + 2*t^5.28 + 2*t^5.433 + 2*t^5.563 + 2*t^5.716 + 2*t^5.847 + t^6. - t^4.571/y - t^4.571*y | detail |