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 |
|---|---|---|---|---|---|---|---|---|---|
| 57308 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.4506 | 1.6523 | 0.8779 | [X:[1.3637], M:[0.7954, 0.7954], q:[0.4432, 0.6023], qb:[0.4432, 0.6023], phi:[0.3182]] | [X:[[0, 0, 4]], M:[[0, 0, -5], [0, 0, -5]], q:[[-1, 0, 7], [0, -1, 5]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -2]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -2 | 2*t^2.386 + t^2.659 + t^2.864 + 2*t^3.136 + 3*t^4.091 + 2*t^4.568 + 3*t^4.773 + 4*t^5.045 + 2*t^5.25 + t^5.318 + 2*t^5.421 + 4*t^5.523 + t^5.727 + 2*t^5.796 + 2*t^5.898 - 2*t^6. + 3*t^6.273 + 2*t^6.375 + 2*t^6.477 + 3*t^6.75 + 4*t^6.852 + 4*t^6.955 + 4*t^7.159 + 8*t^7.227 + 5*t^7.432 + 3*t^7.636 + 7*t^7.705 + 2*t^7.807 + 6*t^7.909 + t^7.978 + 2*t^8.08 + 2*t^8.113 + 11*t^8.182 + 2*t^8.284 - 5*t^8.386 + 2*t^8.455 + 6*t^8.557 + t^8.591 + 6*t^8.659 - 2*t^8.761 + 2*t^8.864 + 3*t^8.932 + t^8.864/y^2 - t^3.955/y - t^4.909/y - (2*t^6.341)/y - t^6.614/y - t^6.818/y - (2*t^7.091)/y - (2*t^7.295)/y + (2*t^8.25)/y + (5*t^8.523)/y - (3*t^8.727)/y + (2*t^8.796)/y - t^3.955*y - t^4.909*y - 2*t^6.341*y - t^6.614*y - t^6.818*y - 2*t^7.091*y - 2*t^7.295*y + 2*t^8.25*y + 5*t^8.523*y - 3*t^8.727*y + 2*t^8.796*y + t^8.864*y^2 | (2*t^2.386)/g3^5 + g3^7*t^2.659 + t^2.864/g3^6 + (g1*g3^5*t^3.136)/g2 + (g2*g3^7*t^3.136)/g1 + (g1*g3^3*t^4.091)/g2 + g3^4*t^4.091 + (g2*g3^5*t^4.091)/g1 + 2*g3^3*t^4.568 + (3*t^4.773)/g3^10 + (g1*g3*t^5.045)/g2 + 2*g3^2*t^5.045 + (g2*g3^3*t^5.045)/g1 + (2*t^5.25)/g3^11 + g3^14*t^5.318 + (g1^2*g2*t^5.421)/g3^2 + (g3^17*t^5.421)/(g1^2*g2) + (g1*t^5.523)/g2 + 2*g3*t^5.523 + (g2*g3^2*t^5.523)/g1 + t^5.727/g3^12 + (g1*g3^12*t^5.796)/g2 + (g2*g3^14*t^5.796)/g1 + (g1*g2^2*t^5.898)/g3^2 + (g3^15*t^5.898)/(g1*g2^2) - 4*t^6. + (g1*t^6.)/(g2*g3) + (g2*g3*t^6.)/g1 + (g1^2*g3^10*t^6.273)/g2^2 + g3^12*t^6.273 + (g2^2*g3^14*t^6.273)/g1^2 + (g1^2*g2*t^6.375)/g3^4 + (g3^15*t^6.375)/(g1^2*g2) + (2*t^6.477)/g3 + (g1*g3^10*t^6.75)/g2 + g3^11*t^6.75 + (g2*g3^12*t^6.75)/g1 + (g1^3*t^6.852)/g3^6 + (g1*g2^2*t^6.852)/g3^4 + (g3^13*t^6.852)/(g1*g2^2) + (g3^15*t^6.852)/g1^3 + (g1*t^6.955)/(g2*g3^3) + (2*t^6.955)/g3^2 + (g2*t^6.955)/(g1*g3) + (4*t^7.159)/g3^15 + (g1^2*g3^8*t^7.227)/g2^2 + (g1*g3^9*t^7.227)/g2 + 4*g3^10*t^7.227 + (g2*g3^11*t^7.227)/g1 + (g2^2*g3^12*t^7.227)/g1^2 + (g1^2*g2*t^7.33)/g3^6 - (g1*g2^2*t^7.33)/g3^5 - (g3^12*t^7.33)/(g1*g2^2) + (g3^13*t^7.33)/(g1^2*g2) + (5*t^7.432)/g3^3 + (3*t^7.636)/g3^16 + (3*g1*g3^8*t^7.705)/g2 + g3^9*t^7.705 + (3*g2*g3^10*t^7.705)/g1 + (g1*g2^2*t^7.807)/g3^6 + (g3^11*t^7.807)/(g1*g2^2) + (2*g1*t^7.909)/(g2*g3^5) + (2*t^7.909)/g3^4 + (2*g2*t^7.909)/(g1*g3^3) + g3^21*t^7.978 + g1^2*g2*g3^5*t^8.08 + (g3^24*t^8.08)/(g1^2*g2) + (2*t^8.113)/g3^17 + (2*g1^2*g3^6*t^8.182)/g2^2 + (g1*g3^7*t^8.182)/g2 + 5*g3^8*t^8.182 + (g2*g3^9*t^8.182)/g1 + (2*g2^2*g3^10*t^8.182)/g1^2 - (g1^3*t^8.284)/g3^9 + (g1^2*g2*t^8.284)/g3^8 + (g2^3*t^8.284)/g3^6 + (g3^9*t^8.284)/g2^3 + (g3^11*t^8.284)/(g1^2*g2) - (g3^12*t^8.284)/g1^3 - (5*t^8.386)/g3^5 + (g1*g3^19*t^8.455)/g2 + (g2*g3^21*t^8.455)/g1 + g1^3*g3^3*t^8.557 + 2*g1*g2^2*g3^5*t^8.557 + (2*g3^22*t^8.557)/(g1*g2^2) + (g3^24*t^8.557)/g1^3 + t^8.591/g3^18 + (g1^2*g3^5*t^8.659)/g2^2 + (4*g1*g3^6*t^8.659)/g2 - 4*g3^7*t^8.659 + (4*g2*g3^8*t^8.659)/g1 + (g2^2*g3^9*t^8.659)/g1^2 - (g1^2*g2*t^8.761)/g3^9 + (g1*g2^2*t^8.761)/g3^8 - (g2^3*t^8.761)/g3^7 - (g3^8*t^8.761)/g2^3 + (g3^9*t^8.761)/(g1*g2^2) - (g3^10*t^8.761)/(g1^2*g2) + (g1*t^8.864)/(g2*g3^7) + (g2*t^8.864)/(g1*g3^5) + (g1^2*g3^17*t^8.932)/g2^2 + g3^19*t^8.932 + (g2^2*g3^21*t^8.932)/g1^2 + t^8.864/(g3^6*y^2) - t^3.955/(g3^2*y) - t^4.909/(g3^4*y) - (2*t^6.341)/(g3^7*y) - (g3^5*t^6.614)/y - t^6.818/(g3^8*y) - (g1*g3^3*t^7.091)/(g2*y) - (g2*g3^5*t^7.091)/(g1*y) - (2*t^7.295)/(g3^9*y) - (g1*g3*t^8.045)/(g2*y) + (2*g3^2*t^8.045)/y - (g2*g3^3*t^8.045)/(g1*y) + (2*t^8.25)/(g3^11*y) + (2*g1*t^8.523)/(g2*y) + (g3*t^8.523)/y + (2*g2*g3^2*t^8.523)/(g1*y) - (3*t^8.727)/(g3^12*y) + (g1*g3^12*t^8.796)/(g2*y) + (g2*g3^14*t^8.796)/(g1*y) - (t^3.955*y)/g3^2 - (t^4.909*y)/g3^4 - (2*t^6.341*y)/g3^7 - g3^5*t^6.614*y - (t^6.818*y)/g3^8 - (g1*g3^3*t^7.091*y)/g2 - (g2*g3^5*t^7.091*y)/g1 - (2*t^7.295*y)/g3^9 - (g1*g3*t^8.045*y)/g2 + 2*g3^2*t^8.045*y - (g2*g3^3*t^8.045*y)/g1 + (2*t^8.25*y)/g3^11 + (2*g1*t^8.523*y)/g2 + g3*t^8.523*y + (2*g2*g3^2*t^8.523*y)/g1 - (3*t^8.727*y)/g3^12 + (g1*g3^12*t^8.796*y)/g2 + (g2*g3^14*t^8.796*y)/g1 + (t^8.864*y^2)/g3^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57983 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4145 | 1.6361 | 0.8646 | [X:[1.2727], M:[0.9091, 0.9091], q:[0.3636, 0.5455], qb:[0.3636, 0.5455], phi:[0.3636]] | t^2.18 + 4*t^2.73 + t^3.27 + 3*t^3.82 + 3*t^4.36 + 8*t^4.91 + 12*t^5.45 + 5*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 30123/21296, c: 17421/10648, X1: 14/11, M1: 10/11, M2: 10/11, q1: 4/11, q2: 6/11, qb1: 4/11, qb2: 6/11, phi1: 4/11} |
| 57984 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4374 | 1.6323 | 0.8806 | [X:[1.3946], M:[0.7567, 0.7567], q:[0.4202, 0.5866], qb:[0.5203, 0.6567], phi:[0.3027]] | 2*t^2.27 + t^2.72 + t^2.82 + t^3.23 + t^3.32 + t^4.14 + t^4.18 + t^4.23 + 3*t^4.54 + 2*t^4.64 + 2*t^4.99 + t^5.05 + 2*t^5.09 + t^5.14 + t^5.19 + t^5.45 + t^5.5 + 2*t^5.55 + t^5.59 + t^5.64 + t^5.69 + t^5.95 - 3*t^6. - t^3.91/y - t^4.82/y - t^3.91*y - t^4.82*y | detail | |
| 57985 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 1.4492 | 1.6475 | 0.8796 | [X:[1.3791], M:[0.7761, 0.7761], q:[0.4493, 0.6224], qb:[0.4642, 0.6015], phi:[0.3104]] | 2*t^2.33 + t^2.74 + t^2.79 + t^3.15 + t^3.26 + t^4.08 + t^4.14 + t^4.19 + 2*t^4.6 + 3*t^4.66 + t^5.02 + 2*t^5.07 + 3*t^5.12 + 2*t^5.48 + t^5.49 + t^5.52 + 2*t^5.53 + 2*t^5.59 + t^5.89 + t^5.93 + t^5.95 - 3*t^6. - t^3.93/y - t^4.86/y - t^3.93*y - t^4.86*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47882 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4342 | 1.6257 | 0.8822 | [X:[1.3547], M:[0.8066], q:[0.4353, 0.5967], qb:[0.4353, 0.5967], phi:[0.3227]] | t^2.42 + t^2.612 + t^2.904 + 2*t^3.096 + t^3.58 + 3*t^4.064 + 2*t^4.548 + t^4.84 + 3*t^5.032 + t^5.224 + t^5.324 + 2*t^5.37 + 2*t^5.516 + 2*t^5.708 + t^5.808 + 2*t^5.854 - t^6. - t^3.968/y - t^4.936/y - t^3.968*y - t^4.936*y | detail |