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 |
|---|---|---|---|---|---|---|---|---|---|
| 1979 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6785 | 0.8569 | 0.7919 | [M:[1.1312, 1.1011, 0.914, 0.8688, 0.6817, 0.6968], q:[0.7753, 0.3409], qb:[0.5279, 0.5581], phi:[0.4495]] | [M:[[8], [-4], [10], [-8], [6], [12]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}q_{1}q_{2}$ | ${}$ | -1 | t^2.045 + t^2.09 + t^2.606 + t^2.697 + t^2.742 + t^3.303 + t^3.348 + t^3.394 + t^4. + t^4.045 + t^4.09 + t^4.136 + t^4.181 + t^4.516 + t^4.606 + t^4.652 + 2*t^4.697 + t^4.742 + 2*t^4.787 + t^4.833 + t^5.213 + t^5.303 + t^5.348 + 3*t^5.394 + 2*t^5.439 + 2*t^5.484 + t^5.955 - t^6. + 2*t^6.045 + 3*t^6.09 + 3*t^6.136 + t^6.181 + t^6.226 + t^6.271 + t^6.606 + 2*t^6.697 + 4*t^6.742 + 4*t^6.787 + 2*t^6.833 + 2*t^6.878 + t^6.923 + t^7.122 + t^7.213 + t^7.303 + t^7.348 + 4*t^7.394 + 4*t^7.439 + 4*t^7.484 + 3*t^7.529 + 2*t^7.575 + t^7.819 - t^7.955 + t^8. + 3*t^8.09 + 4*t^8.136 + 5*t^8.181 + 4*t^8.226 + t^8.271 + t^8.317 + t^8.362 - 2*t^8.606 - t^8.652 + 5*t^8.787 + 7*t^8.833 + 6*t^8.878 + 2*t^8.923 + 2*t^8.968 - t^4.348/y - t^6.394/y - t^6.439/y - t^7.09/y + t^7.136/y + t^7.606/y + t^7.652/y + t^7.697/y + t^7.742/y + (2*t^7.787)/y + t^7.833/y + t^8.258/y + (2*t^8.303)/y + (2*t^8.348)/y + (2*t^8.394)/y + (2*t^8.439)/y - t^8.529/y + t^8.91/y + t^8.955/y - t^4.348*y - t^6.394*y - t^6.439*y - t^7.09*y + t^7.136*y + t^7.606*y + t^7.652*y + t^7.697*y + t^7.742*y + 2*t^7.787*y + t^7.833*y + t^8.258*y + 2*t^8.303*y + 2*t^8.348*y + 2*t^8.394*y + 2*t^8.439*y - t^8.529*y + t^8.91*y + t^8.955*y | g1^6*t^2.045 + g1^12*t^2.09 + t^2.606/g1^8 + g1^4*t^2.697 + g1^10*t^2.742 + t^3.303/g1^4 + g1^2*t^3.348 + g1^8*t^3.394 + t^4. + g1^6*t^4.045 + g1^12*t^4.09 + g1^18*t^4.136 + g1^24*t^4.181 + t^4.516/g1^20 + t^4.606/g1^8 + t^4.652/g1^2 + 2*g1^4*t^4.697 + g1^10*t^4.742 + 2*g1^16*t^4.787 + g1^22*t^4.833 + t^5.213/g1^16 + t^5.303/g1^4 + g1^2*t^5.348 + 3*g1^8*t^5.394 + 2*g1^14*t^5.439 + 2*g1^20*t^5.484 + t^5.955/g1^6 - t^6. + 2*g1^6*t^6.045 + 3*g1^12*t^6.09 + 3*g1^18*t^6.136 + g1^24*t^6.181 + g1^30*t^6.226 + g1^36*t^6.271 + t^6.606/g1^8 + 2*g1^4*t^6.697 + 4*g1^10*t^6.742 + 4*g1^16*t^6.787 + 2*g1^22*t^6.833 + 2*g1^28*t^6.878 + g1^34*t^6.923 + t^7.122/g1^28 + t^7.213/g1^16 + t^7.303/g1^4 + g1^2*t^7.348 + 4*g1^8*t^7.394 + 4*g1^14*t^7.439 + 4*g1^20*t^7.484 + 3*g1^26*t^7.529 + 2*g1^32*t^7.575 + t^7.819/g1^24 - t^7.955/g1^6 + t^8. + 3*g1^12*t^8.09 + 4*g1^18*t^8.136 + 5*g1^24*t^8.181 + 4*g1^30*t^8.226 + g1^36*t^8.271 + g1^42*t^8.317 + g1^48*t^8.362 - (2*t^8.606)/g1^8 - t^8.652/g1^2 + 5*g1^16*t^8.787 + 7*g1^22*t^8.833 + 6*g1^28*t^8.878 + 2*g1^34*t^8.923 + 2*g1^40*t^8.968 - (g1^2*t^4.348)/y - (g1^8*t^6.394)/y - (g1^14*t^6.439)/y - (g1^12*t^7.09)/y + (g1^18*t^7.136)/y + t^7.606/(g1^8*y) + t^7.652/(g1^2*y) + (g1^4*t^7.697)/y + (g1^10*t^7.742)/y + (2*g1^16*t^7.787)/y + (g1^22*t^7.833)/y + t^8.258/(g1^10*y) + (2*t^8.303)/(g1^4*y) + (2*g1^2*t^8.348)/y + (2*g1^8*t^8.394)/y + (2*g1^14*t^8.439)/y - (g1^26*t^8.529)/y + t^8.91/(g1^12*y) + t^8.955/(g1^6*y) - g1^2*t^4.348*y - g1^8*t^6.394*y - g1^14*t^6.439*y - g1^12*t^7.09*y + g1^18*t^7.136*y + (t^7.606*y)/g1^8 + (t^7.652*y)/g1^2 + g1^4*t^7.697*y + g1^10*t^7.742*y + 2*g1^16*t^7.787*y + g1^22*t^7.833*y + (t^8.258*y)/g1^10 + (2*t^8.303*y)/g1^4 + 2*g1^2*t^8.348*y + 2*g1^8*t^8.394*y + 2*g1^14*t^8.439*y - g1^26*t^8.529*y + (t^8.91*y)/g1^12 + (t^8.955*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3031 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ | 0.6272 | 0.7901 | 0.7938 | [M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.182 + t^2.364 + t^2.727 + t^2.909 + t^3.091 + t^3.273 + 2*t^3.455 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.545 + t^4.727 + 2*t^4.909 + 2*t^5.091 + t^5.273 + 2*t^5.455 + 4*t^5.636 + 3*t^5.818 - t^4.455/y - t^4.455*y | detail | {a: 20035/31944, c: 12619/15972, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 3032 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}q_{2}$ | 0.689 | 0.8742 | 0.7881 | [M:[1.1352, 1.0991, 0.919, 0.8648, 0.6847, 0.7028, 0.8829], q:[0.7748, 0.3424], qb:[0.5224, 0.5586], phi:[0.4505]] | t^2.054 + t^2.108 + t^2.594 + t^2.649 + t^2.703 + t^2.757 + t^3.297 + t^3.406 + t^4. + t^4.054 + t^4.108 + t^4.163 + t^4.217 + t^4.486 + t^4.594 + t^4.649 + 3*t^4.703 + 2*t^4.757 + 2*t^4.811 + t^4.865 + t^5.189 + t^5.243 + 2*t^5.297 + 2*t^5.351 + 3*t^5.406 + t^5.46 + 2*t^5.514 + t^5.946 - t^6. - t^4.351/y - t^4.351*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 |
|---|---|---|---|---|---|---|---|---|---|
| 712 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.658 | 0.8173 | 0.8051 | [M:[1.1372, 1.098, 0.9215, 0.8628, 0.6863], q:[0.7745, 0.3431], qb:[0.5196, 0.5588], phi:[0.451]] | t^2.059 + t^2.588 + t^2.706 + t^2.765 + t^3.294 + t^3.353 + t^3.412 + t^3.882 + t^4. + t^4.059 + t^4.118 + t^4.471 + t^4.588 + t^4.647 + t^4.706 + t^4.765 + t^4.823 + t^5.177 + t^5.294 + t^5.353 + 2*t^5.412 + t^5.47 + t^5.529 + 2*t^5.941 - t^6. - t^4.353/y - t^4.353*y | detail |