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 |
|---|---|---|---|---|---|---|---|---|---|
| 2982 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.58 | 0.7267 | 0.7981 | [X:[1.577], M:[0.423, 1.2689, 0.7311, 0.9607, 1.0393, 0.7673], q:[0.9426, 0.6344], qb:[0.3263, 0.4049], phi:[0.423]] | [X:[[2]], M:[[-2], [-6], [6], [-14], [14], [-32]], q:[[5], [-3]], qb:[[-11], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.193 + t^2.302 + t^2.538 + t^2.882 + t^3.118 + t^3.226 + t^3.462 + t^3.807 + t^4.042 + t^4.387 + t^4.495 + t^4.604 + 2*t^4.731 + t^4.84 + 2*t^5.075 + t^5.184 + t^5.311 + 2*t^5.42 + t^5.528 + t^5.656 + 2*t^5.764 + 2*t^6.108 + t^6.236 + 2*t^6.344 + t^6.453 + t^6.58 + t^6.689 + t^6.797 + t^6.906 + t^6.925 + 2*t^7.033 + t^7.141 + 2*t^7.269 + 2*t^7.377 + t^7.486 + 3*t^7.613 + 2*t^7.722 + t^7.83 + t^7.849 + 2*t^7.958 + 2*t^8.066 + t^8.085 - t^8.193 + t^8.302 + 2*t^8.41 + 3*t^8.646 + t^8.755 - t^8.882 + 2*t^8.991 - t^4.269/y - t^6.571/y - t^6.807/y + t^7.495/y + (2*t^7.731)/y + t^7.84/y + t^7.967/y + t^8.075/y + t^8.184/y + t^8.311/y + (3*t^8.42)/y + t^8.528/y + (2*t^8.656)/y + (2*t^8.764)/y - t^8.873/y - t^4.269*y - t^6.571*y - t^6.807*y + t^7.495*y + 2*t^7.731*y + t^7.84*y + t^7.967*y + t^8.075*y + t^8.184*y + t^8.311*y + 3*t^8.42*y + t^8.528*y + 2*t^8.656*y + 2*t^8.764*y - t^8.873*y | g1^6*t^2.193 + t^2.302/g1^32 + t^2.538/g1^4 + t^2.882/g1^14 + g1^14*t^3.118 + t^3.226/g1^24 + g1^4*t^3.462 + t^3.807/g1^6 + g1^22*t^4.042 + g1^12*t^4.387 + t^4.495/g1^26 + t^4.604/g1^64 + 2*g1^2*t^4.731 + t^4.84/g1^36 + (2*t^5.075)/g1^8 + t^5.184/g1^46 + g1^20*t^5.311 + (2*t^5.42)/g1^18 + t^5.528/g1^56 + g1^10*t^5.656 + (2*t^5.764)/g1^28 + (2*t^6.108)/g1^38 + g1^28*t^6.236 + (2*t^6.344)/g1^10 + t^6.453/g1^48 + g1^18*t^6.58 + t^6.689/g1^20 + t^6.797/g1^58 + t^6.906/g1^96 + g1^8*t^6.925 + (2*t^7.033)/g1^30 + t^7.141/g1^68 + (2*t^7.269)/g1^2 + (2*t^7.377)/g1^40 + t^7.486/g1^78 + (3*t^7.613)/g1^12 + (2*t^7.722)/g1^50 + t^7.83/g1^88 + g1^16*t^7.849 + (2*t^7.958)/g1^22 + (2*t^8.066)/g1^60 + g1^44*t^8.085 - g1^6*t^8.193 + t^8.302/g1^32 + (2*t^8.41)/g1^70 + (3*t^8.646)/g1^42 + t^8.755/g1^80 - t^8.882/g1^14 + (2*t^8.991)/g1^52 - t^4.269/(g1^2*y) - t^6.571/(g1^34*y) - t^6.807/(g1^6*y) + t^7.495/(g1^26*y) + (2*g1^2*t^7.731)/y + t^7.84/(g1^36*y) + (g1^30*t^7.967)/y + t^8.075/(g1^8*y) + t^8.184/(g1^46*y) + (g1^20*t^8.311)/y + (3*t^8.42)/(g1^18*y) + t^8.528/(g1^56*y) + (2*g1^10*t^8.656)/y + (2*t^8.764)/(g1^28*y) - t^8.873/(g1^66*y) - (t^4.269*y)/g1^2 - (t^6.571*y)/g1^34 - (t^6.807*y)/g1^6 + (t^7.495*y)/g1^26 + 2*g1^2*t^7.731*y + (t^7.84*y)/g1^36 + g1^30*t^7.967*y + (t^8.075*y)/g1^8 + (t^8.184*y)/g1^46 + g1^20*t^8.311*y + (3*t^8.42*y)/g1^18 + (t^8.528*y)/g1^56 + 2*g1^10*t^8.656*y + (2*t^8.764*y)/g1^28 - (t^8.873*y)/g1^66 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3587 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{6}$ | 0.559 | 0.6976 | 0.8013 | [X:[1.5652], M:[0.4348, 1.3043, 0.6957, 1.0435, 0.9565, 0.9565], q:[0.913, 0.6522], qb:[0.3913, 0.3043], phi:[0.4348]] | t^2.087 + t^2.609 + 2*t^2.87 + t^3.13 + t^3.391 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.696 + 2*t^4.957 + 2*t^5.217 + 2*t^5.478 + 4*t^5.739 + t^6. - t^4.304/y - t^4.304*y | detail | {a: 108819/194672, c: 67899/97336, X1: 36/23, M1: 10/23, M2: 30/23, M3: 16/23, M4: 24/23, M5: 22/23, M6: 22/23, q1: 21/23, q2: 15/23, qb1: 9/23, qb2: 7/23, phi1: 10/23} |
| 3590 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.577 | 0.7207 | 0.8006 | [X:[1.575], M:[0.425, 1.2751, 0.7249, 0.9752, 1.0248, 0.8004, 1.0248], q:[0.9374, 0.6375], qb:[0.3376, 0.3873], phi:[0.425]] | t^2.175 + t^2.401 + t^2.55 + 2*t^3.075 + t^3.301 + t^3.45 + t^3.825 + t^3.974 + t^4.35 + t^4.576 + 2*t^4.725 + t^4.802 + t^4.951 + t^5.1 + 2*t^5.249 + 2*t^5.476 + 2*t^5.625 + t^5.702 + t^5.851 - t^6. - t^4.275/y - t^4.275*y | detail | |
| 3588 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}^{2}$ | 0.5487 | 0.6855 | 0.8005 | [X:[1.5625], M:[0.4375, 1.3125, 0.6875, 1.0625, 0.9375, 1.0], q:[0.9063, 0.6563], qb:[0.4063, 0.2813], phi:[0.4375]] | t^2.063 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.75 + t^3.938 + t^4.125 + 2*t^4.688 + t^4.875 + t^5.063 + 2*t^5.25 + t^5.438 + 2*t^5.625 + 2*t^5.813 + t^6. - t^4.313/y - t^4.313*y | detail | {a: 71925/131072, c: 89845/131072, X1: 25/16, M1: 7/16, M2: 21/16, M3: 11/16, M4: 17/16, M5: 15/16, M6: 1, q1: 29/32, q2: 21/32, qb1: 13/32, qb2: 9/32, phi1: 7/16} |
| 3591 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5886 | 0.7403 | 0.7952 | [X:[1.5739], M:[0.4261, 1.2784, 0.7216, 0.9829, 1.0171, 0.8181, 0.8864], q:[0.9347, 0.6392], qb:[0.3437, 0.3779], phi:[0.4261]] | t^2.165 + t^2.454 + t^2.557 + t^2.659 + t^2.949 + t^3.051 + t^3.443 + t^3.835 + t^3.938 + t^4.33 + t^4.619 + 2*t^4.722 + t^4.824 + t^4.909 + t^5.011 + 3*t^5.114 + 2*t^5.216 + t^5.318 + t^5.403 + t^5.506 + 2*t^5.608 + t^5.71 + t^5.898 - t^4.278/y - t^4.278*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1945 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.563 | 0.6963 | 0.8086 | [X:[1.5736], M:[0.4264, 1.2792, 0.7208, 0.9848, 1.0152], q:[0.934, 0.6396], qb:[0.3452, 0.3756], phi:[0.4264]] | t^2.162 + t^2.558 + t^2.954 + t^3.046 + t^3.35 + t^3.442 + t^3.533 + t^3.838 + t^3.929 + t^4.325 + 2*t^4.721 + 2*t^5.117 + t^5.208 + t^5.513 + t^5.604 + t^5.695 + t^5.909 - t^4.279/y - t^4.279*y | detail |