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 |
|---|---|---|---|---|---|---|---|---|---|
| 2539 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.641 | 0.8022 | 0.7991 | [M:[1.0001, 0.8947, 1.1053, 0.7895, 1.2105, 1.1053, 0.6843], q:[0.5526, 0.4474], qb:[0.3421, 0.7632], phi:[0.4737]] | [M:[[-38], [14], [-14], [-10], [10], [-14], [-34]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{1}^{2}$ | -1 | t^2.053 + t^2.368 + t^2.842 + t^3. + 2*t^3.316 + t^3.474 + t^3.632 + t^3.79 + 2*t^4.105 + t^4.106 + 2*t^4.421 + 2*t^4.737 + t^4.895 + t^5.053 + t^5.211 + 2*t^5.369 + t^5.527 + 2*t^5.684 + 3*t^5.842 - t^6. + 5*t^6.158 + 4*t^6.474 - t^6.631 + 3*t^6.632 + 3*t^6.79 + 2*t^6.947 + 2*t^6.948 + 3*t^7.105 + t^7.106 + t^7.263 + 4*t^7.421 + 4*t^7.579 + 3*t^7.737 - t^7.894 + 4*t^7.895 + 2*t^8.21 + 6*t^8.211 - 5*t^8.368 + 3*t^8.369 + 4*t^8.526 + 2*t^8.527 + 4*t^8.842 - t^4.421/y - t^6.474/y + t^7.105/y - t^7.263/y + t^7.421/y + t^7.579/y - t^7.737/y + t^7.895/y + t^8.053/y + t^8.211/y + t^8.368/y + (3*t^8.369)/y + (3*t^8.684)/y + (3*t^8.842)/y - t^4.421*y - t^6.474*y + t^7.105*y - t^7.263*y + t^7.421*y + t^7.579*y - t^7.737*y + t^7.895*y + t^8.053*y + t^8.211*y + t^8.368*y + 3*t^8.369*y + 3*t^8.684*y + 3*t^8.842*y | t^2.053/g1^34 + t^2.368/g1^10 + t^2.842/g1^12 + t^3./g1^38 + (2*t^3.316)/g1^14 + t^3.474/g1^40 + g1^10*t^3.632 + t^3.79/g1^16 + 2*g1^8*t^4.105 + t^4.106/g1^68 + t^4.421/g1^44 + g1^32*t^4.421 + t^4.737/g1^20 + g1^56*t^4.737 + t^4.895/g1^46 + t^5.053/g1^72 + t^5.211/g1^22 + (2*t^5.369)/g1^48 + t^5.527/g1^74 + (2*t^5.684)/g1^24 + (3*t^5.842)/g1^50 - 2*t^6. + t^6./g1^76 + t^6.158/g1^102 + (4*t^6.158)/g1^26 + (3*t^6.316)/g1^52 - 3*g1^24*t^6.316 + (2*t^6.474)/g1^78 + (2*t^6.474)/g1^2 - g1^48*t^6.631 + (3*t^6.632)/g1^28 + (3*t^6.79)/g1^54 + (2*t^6.947)/g1^4 + (2*t^6.948)/g1^80 + (3*t^7.105)/g1^30 + t^7.106/g1^106 + (2*t^7.263)/g1^56 - g1^20*t^7.263 + (2*t^7.421)/g1^82 + (2*t^7.421)/g1^6 + t^7.579/g1^108 + (3*t^7.579)/g1^32 + (2*t^7.737)/g1^58 + g1^18*t^7.737 - g1^68*t^7.894 + (3*t^7.895)/g1^84 + t^7.895/g1^8 + t^8.053/g1^110 - t^8.053/g1^34 + 2*g1^16*t^8.21 + t^8.211/g1^136 + (5*t^8.211)/g1^60 - (5*t^8.368)/g1^10 + (3*t^8.369)/g1^86 + (3*t^8.526)/g1^36 + g1^40*t^8.526 + (2*t^8.527)/g1^112 + (4*t^8.684)/g1^62 - 4*g1^14*t^8.684 + (4*t^8.842)/g1^88 - (2*t^8.842)/g1^12 + 2*g1^64*t^8.842 - t^4.421/(g1^6*y) - t^6.474/(g1^40*y) + (g1^8*t^7.105)/y - t^7.263/(g1^18*y) + (g1^32*t^7.421)/y + (g1^6*t^7.579)/y - t^7.737/(g1^20*y) + t^7.895/(g1^46*y) + t^8.053/(g1^72*y) + t^8.211/(g1^22*y) + (g1^28*t^8.368)/y + (3*t^8.369)/(g1^48*y) + (3*t^8.684)/(g1^24*y) + (3*t^8.842)/(g1^50*y) - (t^4.421*y)/g1^6 - (t^6.474*y)/g1^40 + g1^8*t^7.105*y - (t^7.263*y)/g1^18 + g1^32*t^7.421*y + g1^6*t^7.579*y - (t^7.737*y)/g1^20 + (t^7.895*y)/g1^46 + (t^8.053*y)/g1^72 + (t^8.211*y)/g1^22 + g1^28*t^8.368*y + (3*t^8.369*y)/g1^48 + (3*t^8.684*y)/g1^24 + (3*t^8.842*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4592 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6346 | 0.7884 | 0.805 | [M:[1.0811, 0.8649, 1.1351, 0.8108, 1.1892, 1.1351, 0.7568], q:[0.4865, 0.4324], qb:[0.3784, 0.7568], phi:[0.4865]] | t^2.27 + t^2.432 + t^2.919 + t^3.243 + 2*t^3.405 + t^3.568 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + t^4.703 + t^4.865 + t^5.189 + t^5.351 + t^5.514 + 2*t^5.676 + 2*t^5.838 - t^6. - t^4.459/y - t^4.459*y | detail | {a: 514347/810448, c: 319463/405224, M1: 40/37, M2: 32/37, M3: 42/37, M4: 30/37, M5: 44/37, M6: 42/37, M7: 28/37, q1: 18/37, q2: 16/37, qb1: 14/37, qb2: 28/37, phi1: 18/37} |
| 4596 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6606 | 0.8378 | 0.7885 | [M:[1.0073, 0.8921, 1.1079, 0.7914, 1.2086, 1.1079, 0.6907, 0.7338], q:[0.5467, 0.446], qb:[0.3454, 0.7626], phi:[0.4748]] | t^2.072 + t^2.201 + t^2.374 + t^2.849 + t^3.022 + 2*t^3.324 + t^3.497 + t^3.626 + 2*t^4.101 + t^4.144 + t^4.273 + 2*t^4.403 + t^4.446 + t^4.576 + t^4.705 + t^4.748 + t^4.921 + t^5.05 + t^5.094 + 2*t^5.223 + 2*t^5.396 + 2*t^5.525 + t^5.569 + 3*t^5.698 + t^5.827 + 2*t^5.871 - 2*t^6. - t^4.424/y - t^4.424*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1453 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7194 | 0.8926 | 0.806 | [M:[0.8127, 1.0759, 0.9241, 0.9644, 1.0356, 0.9241, 0.853], q:[0.6494, 0.5379], qb:[0.4265, 0.4976], phi:[0.4721]] | t^2.438 + t^2.559 + 2*t^2.772 + t^2.833 + t^2.893 + t^3.107 + t^3.975 + t^4.189 + t^4.31 + t^4.402 + t^4.523 + 2*t^4.644 + t^4.857 + t^4.876 + t^4.978 + t^4.997 + t^5.118 + 2*t^5.21 + t^5.271 + t^5.313 + 2*t^5.331 + t^5.392 + t^5.452 + 3*t^5.545 + 2*t^5.605 + 2*t^5.666 + t^5.726 + t^5.879 + t^5.939 - 3*t^6. - t^4.416/y - t^4.416*y | detail |