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 |
|---|---|---|---|---|---|---|---|---|---|
| 4410 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{1}X_{1}$ | 0.5864 | 0.74 | 0.7924 | [X:[1.3391], M:[0.6609, 1.1526, 1.034, 0.7288, 0.966, 1.2712, 0.7288, 0.7795], q:[0.9407, 0.3984], qb:[0.3304, 0.6356], phi:[0.4237]] | [X:[[22]], M:[[-22], [4], [14], [6], [-14], [-6], [6], [-32]], q:[[5], [17]], qb:[[-11], [-3]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}M_{8}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | 2*t^2.187 + t^2.338 + t^2.898 + t^3.102 + t^3.254 + 2*t^3.458 + t^4.017 + 3*t^4.373 + 2*t^4.525 + t^4.677 + t^4.729 + 2*t^5.085 + t^5.237 + 2*t^5.288 + 2*t^5.44 + t^5.592 + 3*t^5.644 + 2*t^5.796 - 2*t^6. + t^6.152 + 2*t^6.204 + 2*t^6.356 + t^6.508 + 4*t^6.56 + 3*t^6.712 + 2*t^6.863 + 2*t^6.915 + t^7.015 + t^7.271 + 2*t^7.423 + 3*t^7.475 + t^7.575 + 2*t^7.627 + 2*t^7.779 + 3*t^7.831 + t^7.931 + 3*t^7.983 + t^8.035 + 2*t^8.135 - 4*t^8.187 - t^8.338 + 2*t^8.39 + t^8.49 + 2*t^8.542 + 3*t^8.694 + 4*t^8.746 + t^8.846 - t^4.271/y - t^6.458/y - t^6.61/y + t^7.373/y + (2*t^7.525)/y + t^7.933/y + (3*t^8.085)/y + t^8.237/y + (2*t^8.288)/y + (3*t^8.44)/y + t^8.592/y + (3*t^8.644)/y + t^8.796/y - t^8.948/y - t^4.271*y - t^6.458*y - t^6.61*y + t^7.373*y + 2*t^7.525*y + t^7.933*y + 3*t^8.085*y + t^8.237*y + 2*t^8.288*y + 3*t^8.44*y + t^8.592*y + 3*t^8.644*y + t^8.796*y - t^8.948*y | 2*g1^6*t^2.187 + t^2.338/g1^32 + t^2.898/g1^14 + g1^14*t^3.102 + t^3.254/g1^24 + 2*g1^4*t^3.458 + g1^22*t^4.017 + 3*g1^12*t^4.373 + (2*t^4.525)/g1^26 + t^4.677/g1^64 + g1^2*t^4.729 + (2*t^5.085)/g1^8 + t^5.237/g1^46 + 2*g1^20*t^5.288 + (2*t^5.44)/g1^18 + t^5.592/g1^56 + 3*g1^10*t^5.644 + (2*t^5.796)/g1^28 - 2*t^6. + t^6.152/g1^38 + 2*g1^28*t^6.204 + (2*t^6.356)/g1^10 + t^6.508/g1^48 + 4*g1^18*t^6.56 + (3*t^6.712)/g1^20 + (2*t^6.863)/g1^58 + 2*g1^8*t^6.915 + t^7.015/g1^96 + t^7.271/g1^2 + (2*t^7.423)/g1^40 + 3*g1^26*t^7.475 + t^7.575/g1^78 + (2*t^7.627)/g1^12 + (2*t^7.779)/g1^50 + 3*g1^16*t^7.831 + t^7.931/g1^88 + (3*t^7.983)/g1^22 + g1^44*t^8.035 + (2*t^8.135)/g1^60 - 4*g1^6*t^8.187 - t^8.338/g1^32 + 2*g1^34*t^8.39 + t^8.49/g1^70 + (2*t^8.542)/g1^4 + (3*t^8.694)/g1^42 + 4*g1^24*t^8.746 + t^8.846/g1^80 - t^4.271/(g1^2*y) - (g1^4*t^6.458)/y - t^6.61/(g1^34*y) + (g1^12*t^7.373)/y + (2*t^7.525)/(g1^26*y) + (g1^30*t^7.933)/y + (3*t^8.085)/(g1^8*y) + t^8.237/(g1^46*y) + (2*g1^20*t^8.288)/y + (3*t^8.44)/(g1^18*y) + t^8.592/(g1^56*y) + (3*g1^10*t^8.644)/y + t^8.796/(g1^28*y) - t^8.948/(g1^66*y) - (t^4.271*y)/g1^2 - g1^4*t^6.458*y - (t^6.61*y)/g1^34 + g1^12*t^7.373*y + (2*t^7.525*y)/g1^26 + g1^30*t^7.933*y + (3*t^8.085*y)/g1^8 + (t^8.237*y)/g1^46 + 2*g1^20*t^8.288*y + (3*t^8.44*y)/g1^18 + (t^8.592*y)/g1^56 + 3*g1^10*t^8.644*y + (t^8.796*y)/g1^28 - (t^8.948*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 |
|---|---|---|---|---|---|---|---|---|
| 5902 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}M_{8}$ | 0.568 | 0.7174 | 0.7917 | [X:[1.2174], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.6957, 0.9565], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | 2*t^2.087 + 2*t^2.87 + t^3.13 + 2*t^3.391 + 2*t^3.652 + 3*t^4.174 + t^4.696 + 4*t^4.957 + 2*t^5.217 + 3*t^5.478 + 5*t^5.739 - t^6. - t^4.304/y - t^4.304*y | detail | {a: 110571/194672, c: 69833/97336, X1: 28/23, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 16/23, M8: 22/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
| 5901 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{8}^{2}$ | 0.5583 | 0.7067 | 0.79 | [X:[1.1875], M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 0.6875, 1.0], q:[0.9063, 0.2813], qb:[0.4063, 0.6563], phi:[0.4375]] | 2*t^2.063 + t^2.813 + t^3. + t^3.188 + 2*t^3.375 + t^3.563 + t^3.75 + 3*t^4.125 + t^4.688 + 2*t^4.875 + 2*t^5.063 + 2*t^5.25 + 3*t^5.438 + 2*t^5.625 + 2*t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 9147/16384, c: 11579/16384, X1: 19/16, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 11/16, M8: 1, q1: 29/32, q2: 9/32, qb1: 13/32, qb2: 21/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2385 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5909 | 0.7517 | 0.786 | [M:[0.6939, 1.1466, 1.013, 0.7199, 0.987, 1.2801, 0.7199], q:[0.9332, 0.3729], qb:[0.3469, 0.6401], phi:[0.4267]] | t^2.082 + 2*t^2.16 + t^2.961 + t^3.039 + t^3.362 + 2*t^3.44 + t^3.518 + t^4.163 + 2*t^4.241 + 3*t^4.319 + t^4.72 + t^5.043 + 3*t^5.121 + 2*t^5.199 + t^5.443 + 3*t^5.521 + 4*t^5.599 + 2*t^5.677 - 2*t^6. - t^4.28/y - t^4.28*y | detail |