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 |
|---|---|---|---|---|---|---|---|---|---|
| 594 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.7114 | 0.8732 | 0.8147 | [M:[1.059, 0.8231, 0.9476, 0.9345, 1.0], q:[0.4967, 0.4443], qb:[0.5557, 0.6212], phi:[0.4705]] | [M:[[2, 2], [-6, -6], [-10, 2], [6, -6], [0, 0]], q:[[4, -2], [-6, 0]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$ | ${}$ | -2 | t^2.469 + t^2.803 + t^2.823 + t^2.843 + t^3. + t^3.177 + t^3.354 + t^4.078 + t^4.235 + t^4.392 + t^4.412 + t^4.569 + t^4.608 + t^4.746 + t^4.765 + t^4.939 + t^4.942 + t^5.139 + t^5.273 + t^5.293 + t^5.312 + t^5.607 + 3*t^5.646 + t^5.686 + t^5.823 + t^5.98 - 2*t^6. + t^6.02 + t^6.177 - t^6.334 + t^6.354 - t^6.373 + t^6.547 + t^6.704 + t^6.707 + t^6.861 + t^6.881 + t^6.901 + t^6.92 + t^7.038 + t^7.058 + 2*t^7.078 + t^7.195 + 2*t^7.215 + 2*t^7.235 + t^7.372 + t^7.392 + t^7.408 + t^7.412 + t^7.431 + t^7.451 + t^7.549 + t^7.569 + t^7.588 + t^7.608 + t^7.742 + 2*t^7.746 + t^7.762 + t^7.782 + t^7.962 + t^7.982 + t^8.076 + 3*t^8.116 + t^8.119 + 2*t^8.155 + t^8.41 + 2*t^8.45 - t^8.469 + 3*t^8.489 + t^8.492 + t^8.528 + t^8.646 - t^8.666 + t^8.686 + 2*t^8.784 - 3*t^8.803 - 3*t^8.843 + t^8.863 + t^8.961 - t^8.98 - t^4.412/y - t^6.881/y - t^7.215/y - t^7.254/y + t^7.569/y + t^7.608/y + t^7.942/y + t^8.273/y + t^8.293/y + t^8.312/y + t^8.469/y + t^8.627/y + (2*t^8.646)/y + t^8.666/y + t^8.803/y + (2*t^8.823)/y + t^8.843/y + t^8.98/y - t^4.412*y - t^6.881*y - t^7.215*y - t^7.254*y + t^7.569*y + t^7.608*y + t^7.942*y + t^8.273*y + t^8.293*y + t^8.312*y + t^8.469*y + t^8.627*y + 2*t^8.646*y + t^8.666*y + t^8.803*y + 2*t^8.823*y + t^8.843*y + t^8.98*y | t^2.469/(g1^6*g2^6) + (g1^6*t^2.803)/g2^6 + t^2.823/(g1^2*g2^2) + (g2^2*t^2.843)/g1^10 + t^3. + g1^2*g2^2*t^3.177 + g1^4*g2^4*t^3.354 + t^4.078/(g1^13*g2) + t^4.235/(g1^3*g2^3) + (g1^7*t^4.392)/g2^5 + t^4.412/(g1*g2) + (g1^9*t^4.569)/g2^3 + (g2^5*t^4.608)/g1^7 + (g1^11*t^4.746)/g2 + g1^3*g2^3*t^4.765 + t^4.939/(g1^12*g2^12) + g1^5*g2^5*t^4.942 + (g2^11*t^5.139)/g1 + t^5.273/g2^12 + t^5.293/(g1^8*g2^8) + t^5.312/(g1^16*g2^4) + (g1^12*t^5.607)/g2^12 + (3*t^5.646)/(g1^4*g2^4) + (g2^4*t^5.686)/g1^20 + t^5.823/(g1^2*g2^2) + (g1^8*t^5.98)/g2^4 - 2*t^6. + (g2^4*t^6.02)/g1^8 + g1^2*g2^2*t^6.177 - g1^12*t^6.334 + g1^4*g2^4*t^6.354 - (g2^8*t^6.373)/g1^4 + t^6.547/(g1^19*g2^7) + t^6.704/(g1^9*g2^9) + g1^8*g2^8*t^6.707 + (g1*t^6.861)/g2^11 + t^6.881/(g1^7*g2^7) + t^6.901/(g1^15*g2^3) + (g2*t^6.92)/g1^23 + (g1^3*t^7.038)/g2^9 + t^7.058/(g1^5*g2^5) + (2*t^7.078)/(g1^13*g2) + (g1^13*t^7.195)/g2^11 + (2*g1^5*t^7.215)/g2^7 + (2*t^7.235)/(g1^3*g2^3) + (g1^15*t^7.372)/g2^9 + (g1^7*t^7.392)/g2^5 + t^7.408/(g1^18*g2^18) + t^7.412/(g1*g2) + (g2^3*t^7.431)/g1^9 + (g2^7*t^7.451)/g1^17 + (g1^17*t^7.549)/g2^7 + (g1^9*t^7.569)/g2^3 + g1*g2*t^7.588 + (g2^5*t^7.608)/g1^7 + t^7.742/(g1^6*g2^18) + (2*g1^11*t^7.746)/g2 + t^7.762/(g1^14*g2^14) + t^7.782/(g1^22*g2^10) + (g2^9*t^7.962)/g1^3 + (g2^13*t^7.982)/g1^11 + (g1^6*t^8.076)/g2^18 + (3*t^8.116)/(g1^10*g2^10) + g1^7*g2^7*t^8.119 + (2*t^8.155)/(g1^26*g2^2) + (g1^18*t^8.41)/g2^18 + (2*g1^2*t^8.45)/g2^10 - t^8.469/(g1^6*g2^6) + (3*t^8.489)/(g1^14*g2^2) + g1^3*g2^15*t^8.492 + (g2^6*t^8.528)/g1^30 + t^8.646/(g1^4*g2^4) - t^8.666/g1^12 + (g2^4*t^8.686)/g1^20 + (2*g1^14*t^8.784)/g2^10 - (3*g1^6*t^8.803)/g2^6 - (3*g2^2*t^8.843)/g1^10 + (g2^6*t^8.863)/g1^18 + (g1^16*t^8.961)/g2^8 - (g1^8*t^8.98)/g2^4 - t^4.412/(g1*g2*y) - t^6.881/(g1^7*g2^7*y) - (g1^5*t^7.215)/(g2^7*y) - (g2*t^7.254)/(g1^11*y) + (g1^9*t^7.569)/(g2^3*y) + (g2^5*t^7.608)/(g1^7*y) + (g1^5*g2^5*t^7.942)/y + t^8.273/(g2^12*y) + t^8.293/(g1^8*g2^8*y) + t^8.312/(g1^16*g2^4*y) + t^8.469/(g1^6*g2^6*y) + (g1^4*t^8.627)/(g2^8*y) + (2*t^8.646)/(g1^4*g2^4*y) + t^8.666/(g1^12*y) + (g1^6*t^8.803)/(g2^6*y) + (2*t^8.823)/(g1^2*g2^2*y) + (g2^2*t^8.843)/(g1^10*y) + (g1^8*t^8.98)/(g2^4*y) - (t^4.412*y)/(g1*g2) - (t^6.881*y)/(g1^7*g2^7) - (g1^5*t^7.215*y)/g2^7 - (g2*t^7.254*y)/g1^11 + (g1^9*t^7.569*y)/g2^3 + (g2^5*t^7.608*y)/g1^7 + g1^5*g2^5*t^7.942*y + (t^8.273*y)/g2^12 + (t^8.293*y)/(g1^8*g2^8) + (t^8.312*y)/(g1^16*g2^4) + (t^8.469*y)/(g1^6*g2^6) + (g1^4*t^8.627*y)/g2^8 + (2*t^8.646*y)/(g1^4*g2^4) + (t^8.666*y)/g1^12 + (g1^6*t^8.803*y)/g2^6 + (2*t^8.823*y)/(g1^2*g2^2) + (g2^2*t^8.843*y)/g1^10 + (g1^8*t^8.98*y)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 934 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.7172 | 0.8839 | 0.8115 | [M:[1.0665, 0.8005, 0.9418, 0.9252, 1.0, 0.9335], q:[0.4959, 0.4376], qb:[0.5624, 0.6372], phi:[0.4667]] | t^2.401 + t^2.776 + 2*t^2.8 + t^2.825 + t^3. + t^3.399 + t^4.026 + t^4.201 + t^4.375 + t^4.4 + t^4.575 + t^4.625 + t^4.774 + t^4.799 + t^4.803 + t^4.999 + t^5.177 + 2*t^5.202 + t^5.223 + t^5.227 + t^5.551 + t^5.576 + 4*t^5.601 + t^5.626 + t^5.651 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail | |
| 935 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7231 | 0.895 | 0.8079 | [M:[1.0717, 0.7848, 0.9379, 0.9187, 1.0, 0.8566], q:[0.4952, 0.4331], qb:[0.5669, 0.6482], phi:[0.4641]] | t^2.354 + t^2.57 + t^2.756 + t^2.785 + t^2.814 + t^3. + t^3.215 + t^3.991 + t^4.177 + t^4.364 + t^4.392 + t^4.579 + t^4.636 + t^4.709 + t^4.794 + t^4.823 + t^4.924 + t^5.038 + t^5.111 + 2*t^5.139 + t^5.168 + t^5.282 + t^5.326 + t^5.354 + t^5.383 + t^5.512 + 4*t^5.57 + t^5.627 + t^5.785 + t^5.971 - 2*t^6. - t^4.392/y - t^4.392*y | detail | |
| 1939 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ | 0.591 | 0.7285 | 0.8113 | [X:[1.6], M:[1.2, 0.4, 0.8667, 0.7333, 1.0], q:[0.4667, 0.3333], qb:[0.6667, 0.9333], phi:[0.4]] | t^2.2 + t^2.4 + t^2.6 + t^3. + t^3.2 + 2*t^3.6 + t^4. + t^4.2 + t^4.4 + t^4.6 + 3*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + t^5.6 + 2*t^5.8 - t^4.2/y - t^4.2*y | detail | {a: 591/1000, c: 1457/2000, X1: 8/5, M1: 6/5, M2: 2/5, M3: 13/15, M4: 11/15, M5: 1, q1: 7/15, q2: 1/3, qb1: 2/3, qb2: 14/15, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 369 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ | 0.7466 | 0.9183 | 0.813 | [M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.6645, 0.5], qb:[0.5, 0.6645], phi:[0.4177]] | 5*t^2.506 + t^3. + t^3.987 + 3*t^4.253 + 4*t^4.747 + 15*t^5.013 + 3*t^5.24 + t^5.506 - 7*t^6. - t^4.253/y - t^4.253*y | detail |