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 |
|---|---|---|---|---|---|---|---|---|---|
| 4421 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6634 | 0.8387 | 0.791 | [M:[0.737, 1.034, 1.195, 1.127, 0.805, 0.873, 1.059, 0.78], q:[0.5045, 0.7585], qb:[0.3685, 0.4365], phi:[0.483]] | [M:[[-34], [12], [10], [-14], [-10], [14], [-38], [40]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{5}$, ${ }M_{8}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}M_{8}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{2}M_{5}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{8}$ | ${}$ | -1 | t^2.211 + t^2.34 + t^2.415 + t^2.619 + t^3.102 + t^3.177 + t^3.381 + t^3.585 + t^3.864 + 2*t^4.068 + t^4.272 + t^4.422 + t^4.476 + t^4.551 + t^4.626 + t^4.68 + t^4.755 + 2*t^4.83 + t^4.959 + t^5.034 + t^5.238 + t^5.313 + t^5.388 + t^5.442 + 2*t^5.517 + t^5.592 + 2*t^5.721 + t^5.796 + t^5.925 - t^6. + t^6.075 + 3*t^6.279 + t^6.354 + t^6.408 + 3*t^6.483 + t^6.558 + t^6.612 + t^6.633 + 3*t^6.687 + t^6.762 + t^6.816 + t^6.837 + 2*t^6.891 + t^6.966 + t^7.02 + 2*t^7.041 + 2*t^7.095 + 2*t^7.17 + 2*t^7.245 + t^7.299 + t^7.374 + 2*t^7.449 + t^7.524 + t^7.578 + t^7.599 + 2*t^7.653 + 2*t^7.728 + t^7.782 + t^7.803 + 2*t^7.857 + 3*t^7.932 + t^8.007 + 2*t^8.061 + 3*t^8.136 - 2*t^8.211 + t^8.265 + t^8.286 + t^8.34 - 2*t^8.415 + 3*t^8.49 + 2*t^8.544 + t^8.565 - t^8.619 + 4*t^8.694 + 2*t^8.748 + t^8.769 + t^8.823 + t^8.844 + 4*t^8.898 + 2*t^8.952 + t^8.973 - t^4.449/y - t^6.66/y - t^6.789/y + t^7.272/y + t^7.551/y + t^7.755/y + t^7.83/y + t^7.959/y + t^8.034/y + t^8.109/y + t^8.238/y + t^8.313/y + t^8.388/y + t^8.442/y + (2*t^8.517)/y + (2*t^8.592)/y + (2*t^8.721)/y + (3*t^8.796)/y - t^8.871/y + t^8.925/y - t^4.449*y - t^6.66*y - t^6.789*y + t^7.272*y + t^7.551*y + t^7.755*y + t^7.83*y + t^7.959*y + t^8.034*y + t^8.109*y + t^8.238*y + t^8.313*y + t^8.388*y + t^8.442*y + 2*t^8.517*y + 2*t^8.592*y + 2*t^8.721*y + 3*t^8.796*y - t^8.871*y + t^8.925*y | t^2.211/g1^34 + g1^40*t^2.34 + t^2.415/g1^10 + g1^14*t^2.619 + g1^12*t^3.102 + t^3.177/g1^38 + t^3.381/g1^14 + g1^10*t^3.585 + t^3.864/g1^16 + 2*g1^8*t^4.068 + g1^32*t^4.272 + t^4.422/g1^68 + g1^56*t^4.476 + g1^6*t^4.551 + t^4.626/g1^44 + g1^80*t^4.68 + g1^30*t^4.755 + (2*t^4.83)/g1^20 + g1^54*t^4.959 + g1^4*t^5.034 + g1^28*t^5.238 + t^5.313/g1^22 + t^5.388/g1^72 + g1^52*t^5.442 + 2*g1^2*t^5.517 + t^5.592/g1^48 + 2*g1^26*t^5.721 + t^5.796/g1^24 + g1^50*t^5.925 - t^6. + t^6.075/g1^50 + (3*t^6.279)/g1^26 + t^6.354/g1^76 + g1^48*t^6.408 + (3*t^6.483)/g1^2 + t^6.558/g1^52 + g1^72*t^6.612 + t^6.633/g1^102 + 3*g1^22*t^6.687 + t^6.762/g1^28 + g1^96*t^6.816 + t^6.837/g1^78 + 2*g1^46*t^6.891 + t^6.966/g1^4 + g1^120*t^7.02 + (2*t^7.041)/g1^54 + 2*g1^70*t^7.095 + 2*g1^20*t^7.17 + (2*t^7.245)/g1^30 + g1^94*t^7.299 + g1^44*t^7.374 + (2*t^7.449)/g1^6 + t^7.524/g1^56 + g1^68*t^7.578 + t^7.599/g1^106 + 2*g1^18*t^7.653 + (2*t^7.728)/g1^32 + g1^92*t^7.782 + t^7.803/g1^82 + 2*g1^42*t^7.857 + (3*t^7.932)/g1^8 + t^8.007/g1^58 + 2*g1^66*t^8.061 + 3*g1^16*t^8.136 - (2*t^8.211)/g1^34 + g1^90*t^8.265 + t^8.286/g1^84 + g1^40*t^8.34 - (2*t^8.415)/g1^10 + (3*t^8.49)/g1^60 + 2*g1^64*t^8.544 + t^8.565/g1^110 - g1^14*t^8.619 + (4*t^8.694)/g1^36 + 2*g1^88*t^8.748 + t^8.769/g1^86 + g1^38*t^8.823 + t^8.844/g1^136 + (4*t^8.898)/g1^12 + 2*g1^112*t^8.952 + t^8.973/g1^62 - t^4.449/(g1^6*y) - t^6.66/(g1^40*y) - (g1^34*t^6.789)/y + (g1^32*t^7.272)/y + (g1^6*t^7.551)/y + (g1^30*t^7.755)/y + t^7.83/(g1^20*y) + (g1^54*t^7.959)/y + (g1^4*t^8.034)/y + t^8.109/(g1^46*y) + (g1^28*t^8.238)/y + t^8.313/(g1^22*y) + t^8.388/(g1^72*y) + (g1^52*t^8.442)/y + (2*g1^2*t^8.517)/y + (2*t^8.592)/(g1^48*y) + (2*g1^26*t^8.721)/y + (3*t^8.796)/(g1^24*y) - t^8.871/(g1^74*y) + (g1^50*t^8.925)/y - (t^4.449*y)/g1^6 - (t^6.66*y)/g1^40 - g1^34*t^6.789*y + g1^32*t^7.272*y + g1^6*t^7.551*y + g1^30*t^7.755*y + (t^7.83*y)/g1^20 + g1^54*t^7.959*y + g1^4*t^8.034*y + (t^8.109*y)/g1^46 + g1^28*t^8.238*y + (t^8.313*y)/g1^22 + (t^8.388*y)/g1^72 + g1^52*t^8.442*y + 2*g1^2*t^8.517*y + (2*t^8.592*y)/g1^48 + 2*g1^26*t^8.721*y + (3*t^8.796*y)/g1^24 - (t^8.871*y)/g1^74 + g1^50*t^8.925*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5927 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{1}X_{1}$ | 0.5816 | 0.7229 | 0.8047 | [X:[1.4815], M:[0.5185, 1.1111, 1.2593, 1.037, 0.7407, 0.963, 0.8148, 1.037], q:[0.7037, 0.7778], qb:[0.2593, 0.4815], phi:[0.4444]] | t^2.222 + t^2.444 + t^2.889 + 2*t^3.111 + t^3.333 + t^3.556 + t^3.778 + 2*t^4.222 + 2*t^4.444 + 2*t^4.889 + t^5.111 + t^5.333 + 4*t^5.556 + 2*t^5.778 - t^4.333/y - t^4.333*y | detail | {a: 20353/34992, c: 12647/17496, X1: 40/27, M1: 14/27, M2: 10/9, M3: 34/27, M4: 28/27, M5: 20/27, M6: 26/27, M7: 22/27, M8: 28/27, q1: 19/27, q2: 7/9, qb1: 7/27, qb2: 13/27, phi1: 4/9} |
| 5924 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}^{2}$ + ${ }M_{1}X_{1}$ | 0.5969 | 0.7406 | 0.8059 | [X:[1.45], M:[0.55, 1.1, 1.25, 1.05, 0.75, 0.95, 0.85, 1.0], q:[0.675, 0.775], qb:[0.275, 0.475], phi:[0.45]] | t^2.25 + t^2.55 + t^2.85 + t^3. + t^3.15 + t^3.3 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.8 + 2*t^5.1 + t^5.25 + t^5.4 + 2*t^5.55 + 2*t^5.7 + 2*t^5.85 - t^4.35/y - t^4.35*y | detail | {a: 38199/64000, c: 47399/64000, X1: 29/20, M1: 11/20, M2: 11/10, M3: 5/4, M4: 21/20, M5: 3/4, M6: 19/20, M7: 17/20, M8: 1, q1: 27/40, q2: 31/40, qb1: 11/40, qb2: 19/40, phi1: 9/20} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2392 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6466 | 0.8096 | 0.7987 | [M:[0.7113, 1.0431, 1.2025, 1.1164, 0.7975, 0.8836, 1.0303], q:[0.5279, 0.7608], qb:[0.3557, 0.4418], phi:[0.4785]] | t^2.134 + t^2.392 + t^2.651 + t^3.091 + t^3.129 + t^3.349 + t^3.569 + t^3.608 + t^3.828 + 2*t^4.086 + t^4.268 + t^4.344 + t^4.526 + t^4.603 + 2*t^4.785 + t^5.043 + t^5.225 + t^5.263 + t^5.301 + t^5.483 + t^5.522 + t^5.703 + t^5.742 + t^5.78 + 2*t^5.962 - t^6. - t^4.435/y - t^4.435*y | detail |