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 |
|---|---|---|---|---|---|---|---|---|---|
| 660 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6907 | 0.8634 | 0.8001 | [M:[1.0, 1.1136, 0.989, 0.6703, 0.6814], q:[0.7784, 0.4377], qb:[0.5623, 0.4487], phi:[0.4432]] | [M:[[0], [4], [-18], [6], [24]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$ | ${}$ | -1 | t^2.011 + t^2.044 + t^2.659 + t^2.967 + t^3. + t^3.341 + t^3.648 + t^3.681 + 3*t^4.022 + t^4.055 + t^4.088 + t^4.33 + t^4.363 + t^4.67 + 2*t^4.703 + t^4.978 + 2*t^5.011 + t^5.044 + t^5.319 + t^5.352 + t^5.385 + t^5.659 + 2*t^5.692 + t^5.726 + t^5.934 - t^6. + 2*t^6.033 + 3*t^6.066 + t^6.099 + t^6.133 + t^6.308 + t^6.341 + t^6.374 + t^6.407 + t^6.615 + t^6.648 + 3*t^6.681 + 2*t^6.715 + 2*t^6.748 - t^6.956 + 2*t^6.989 + 4*t^7.022 + 2*t^7.055 + t^7.088 + t^7.33 + 4*t^7.363 + t^7.396 + t^7.429 - t^7.637 + 2*t^7.67 + 4*t^7.703 + 2*t^7.737 + t^7.77 + t^7.945 + t^7.978 - t^8.011 + 4*t^8.044 + 2*t^8.077 + 3*t^8.11 + t^8.144 + t^8.177 - t^8.319 + 2*t^8.352 + 3*t^8.385 + t^8.418 + t^8.451 + 2*t^8.692 + 6*t^8.726 + 2*t^8.759 + 2*t^8.792 + t^8.901 - 3*t^8.967 - t^4.33/y - t^6.341/y - t^6.374/y + t^7.055/y - t^7.297/y + t^7.363/y + t^7.67/y + t^7.703/y + t^7.978/y + (2*t^8.011)/y + t^8.044/y + t^8.285/y + t^8.319/y - t^8.418/y + t^8.626/y + (2*t^8.659)/y + (2*t^8.692)/y + t^8.726/y + t^8.967/y - t^4.33*y - t^6.341*y - t^6.374*y + t^7.055*y - t^7.297*y + t^7.363*y + t^7.67*y + t^7.703*y + t^7.978*y + 2*t^8.011*y + t^8.044*y + t^8.285*y + t^8.319*y - t^8.418*y + t^8.626*y + 2*t^8.659*y + 2*t^8.692*y + t^8.726*y + t^8.967*y | g1^6*t^2.011 + g1^24*t^2.044 + t^2.659/g1^4 + t^2.967/g1^18 + t^3. + g1^4*t^3.341 + t^3.648/g1^10 + g1^8*t^3.681 + 3*g1^12*t^4.022 + g1^30*t^4.055 + g1^48*t^4.088 + t^4.33/g1^2 + g1^16*t^4.363 + g1^2*t^4.67 + 2*g1^20*t^4.703 + t^4.978/g1^12 + 2*g1^6*t^5.011 + g1^24*t^5.044 + t^5.319/g1^8 + g1^10*t^5.352 + g1^28*t^5.385 + t^5.659/g1^4 + 2*g1^14*t^5.692 + g1^32*t^5.726 + t^5.934/g1^36 - t^6. + 2*g1^18*t^6.033 + 3*g1^36*t^6.066 + g1^54*t^6.099 + g1^72*t^6.133 + t^6.308/g1^14 + g1^4*t^6.341 + g1^22*t^6.374 + g1^40*t^6.407 + t^6.615/g1^28 + t^6.648/g1^10 + 3*g1^8*t^6.681 + 2*g1^26*t^6.715 + 2*g1^44*t^6.748 - t^6.956/g1^24 + (2*t^6.989)/g1^6 + 4*g1^12*t^7.022 + 2*g1^30*t^7.055 + g1^48*t^7.088 + t^7.33/g1^2 + 4*g1^16*t^7.363 + g1^34*t^7.396 + g1^52*t^7.429 - t^7.637/g1^16 + 2*g1^2*t^7.67 + 4*g1^20*t^7.703 + 2*g1^38*t^7.737 + g1^56*t^7.77 + t^7.945/g1^30 + t^7.978/g1^12 - g1^6*t^8.011 + 4*g1^24*t^8.044 + 2*g1^42*t^8.077 + 3*g1^60*t^8.11 + g1^78*t^8.144 + g1^96*t^8.177 - t^8.319/g1^8 + 2*g1^10*t^8.352 + 3*g1^28*t^8.385 + g1^46*t^8.418 + g1^64*t^8.451 + 2*g1^14*t^8.692 + 6*g1^32*t^8.726 + 2*g1^50*t^8.759 + 2*g1^68*t^8.792 + t^8.901/g1^54 - (3*t^8.967)/g1^18 - t^4.33/(g1^2*y) - (g1^4*t^6.341)/y - (g1^22*t^6.374)/y + (g1^30*t^7.055)/y - t^7.297/(g1^20*y) + (g1^16*t^7.363)/y + (g1^2*t^7.67)/y + (g1^20*t^7.703)/y + t^7.978/(g1^12*y) + (2*g1^6*t^8.011)/y + (g1^24*t^8.044)/y + t^8.285/(g1^26*y) + t^8.319/(g1^8*y) - (g1^46*t^8.418)/y + t^8.626/(g1^22*y) + (2*t^8.659)/(g1^4*y) + (2*g1^14*t^8.692)/y + (g1^32*t^8.726)/y + t^8.967/(g1^18*y) - (t^4.33*y)/g1^2 - g1^4*t^6.341*y - g1^22*t^6.374*y + g1^30*t^7.055*y - (t^7.297*y)/g1^20 + g1^16*t^7.363*y + g1^2*t^7.67*y + g1^20*t^7.703*y + (t^7.978*y)/g1^12 + 2*g1^6*t^8.011*y + g1^24*t^8.044*y + (t^8.285*y)/g1^26 + (t^8.319*y)/g1^8 - g1^46*t^8.418*y + (t^8.626*y)/g1^22 + (2*t^8.659*y)/g1^4 + 2*g1^14*t^8.692*y + g1^32*t^8.726*y + (t^8.967*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1051 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6874 | 0.8553 | 0.8036 | [M:[1.0, 1.125, 0.9375, 0.6875, 0.75], q:[0.7813, 0.4063], qb:[0.5938, 0.4688], phi:[0.4375]] | t^2.063 + t^2.25 + t^2.625 + t^2.813 + t^3. + t^3.375 + t^3.563 + t^3.75 + 3*t^4.125 + 2*t^4.313 + 2*t^4.5 + t^4.688 + 3*t^4.875 + 2*t^5.063 + 2*t^5.25 + t^5.438 + 3*t^5.625 + 2*t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 90093/131072, c: 112109/131072, M1: 1, M2: 9/8, M3: 15/16, M4: 11/16, M5: 3/4, q1: 25/32, q2: 13/32, qb1: 19/32, qb2: 15/32, phi1: 7/16} |
| 1052 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.6222 | 0.7733 | 0.8047 | [M:[1.0, 1.1667, 0.75, 0.75, 1.0], q:[0.7917, 0.2917], qb:[0.7083, 0.5417], phi:[0.4167]] | 2*t^2.25 + t^2.5 + 2*t^3. + t^3.25 + t^3.5 + t^4. + t^4.25 + 5*t^4.5 + t^4.75 + 2*t^5. + 3*t^5.25 + 4*t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 3823/6144, c: 4751/6144, M1: 1, M2: 7/6, M3: 3/4, M4: 3/4, M5: 1, q1: 19/24, q2: 7/24, qb1: 17/24, qb2: 13/24, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 410 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 0.67 | 0.8227 | 0.8144 | [M:[1.0, 1.115, 0.9824, 0.6725], q:[0.7788, 0.4337], qb:[0.5663, 0.4513], phi:[0.4425]] | t^2.018 + t^2.655 + t^2.947 + t^3. + t^3.345 + t^3.637 + t^3.69 + t^3.93 + 3*t^4.035 + t^4.327 + t^4.38 + t^4.673 + t^4.725 + t^4.965 + t^5.018 + t^5.31 + t^5.363 + t^5.655 + t^5.708 + t^5.895 + t^5.947 - t^6. - t^4.327/y - t^4.327*y | detail |