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 |
|---|---|---|---|---|---|---|---|---|---|
| 46590 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.609 | 0.779 | 0.7817 | [X:[], M:[1.0, 0.9224, 0.7209, 1.0388], q:[0.7597, 0.2403], qb:[0.5194, 0.5582], phi:[0.4806]] | [X:[], M:[[0], [-8], [-3], [4]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | 0 | t^2.16 + t^2.28 + t^2.4 + t^2.77 + t^2.88 + t^3. + t^3.12 + t^3.72 + t^3.84 + t^3.95 + t^4.33 + t^4.44 + 3*t^4.56 + 2*t^4.67 + 2*t^4.79 + t^4.93 + t^5.05 + 2*t^5.16 + 3*t^5.28 + 2*t^5.4 + t^5.51 + t^5.53 + t^5.65 + 2*t^5.77 + t^5.88 + 2*t^6.12 + 2*t^6.23 + t^6.35 + t^6.49 + t^6.6 + 3*t^6.72 + 3*t^6.84 + 4*t^6.95 + 3*t^7.07 + t^7.09 + 2*t^7.19 + t^7.21 + 2*t^7.33 + 3*t^7.44 + 3*t^7.56 + 5*t^7.67 + t^7.7 + 3*t^7.79 + t^7.81 + 2*t^7.91 + 2*t^7.93 + 2*t^8.05 + t^8.3 + t^8.42 + 3*t^8.51 + 2*t^8.53 + 3*t^8.63 + 3*t^8.65 + 2*t^8.74 - t^8.77 - t^4.44/y - t^6.6/y - t^7.21/y + t^7.44/y + t^7.56/y + (2*t^7.67)/y + t^7.93/y + (2*t^8.05)/y + (3*t^8.16)/y + (4*t^8.28)/y + (2*t^8.4)/y + t^8.51/y + t^8.65/y + (3*t^8.88)/y - t^4.44*y - t^6.6*y - t^7.21*y + t^7.44*y + t^7.56*y + 2*t^7.67*y + t^7.93*y + 2*t^8.05*y + 3*t^8.16*y + 4*t^8.28*y + 2*t^8.4*y + t^8.51*y + t^8.65*y + 3*t^8.88*y | t^2.16/g1^3 + g1*t^2.28 + g1^5*t^2.4 + t^2.77/g1^8 + t^2.88/g1^4 + t^3. + g1^4*t^3.12 + t^3.72/g1 + g1^3*t^3.84 + g1^7*t^3.95 + t^4.33/g1^6 + t^4.44/g1^2 + 3*g1^2*t^4.56 + 2*g1^6*t^4.67 + 2*g1^10*t^4.79 + t^4.93/g1^11 + t^5.05/g1^7 + (2*t^5.16)/g1^3 + 3*g1*t^5.28 + 2*g1^5*t^5.4 + g1^9*t^5.51 + t^5.53/g1^16 + t^5.65/g1^12 + (2*t^5.77)/g1^8 + t^5.88/g1^4 + 2*g1^4*t^6.12 + 2*g1^8*t^6.23 + g1^12*t^6.35 + t^6.49/g1^9 + t^6.6/g1^5 + (3*t^6.72)/g1 + 3*g1^3*t^6.84 + 4*g1^7*t^6.95 + 3*g1^11*t^7.07 + t^7.09/g1^14 + 2*g1^15*t^7.19 + t^7.21/g1^10 + (2*t^7.33)/g1^6 + (3*t^7.44)/g1^2 + 3*g1^2*t^7.56 + 5*g1^6*t^7.67 + t^7.7/g1^19 + 3*g1^10*t^7.79 + t^7.81/g1^15 + 2*g1^14*t^7.91 + (2*t^7.93)/g1^11 + (2*t^8.05)/g1^7 + t^8.3/g1^24 + t^8.42/g1^20 + 3*g1^9*t^8.51 + (2*t^8.53)/g1^16 + 3*g1^13*t^8.63 + (3*t^8.65)/g1^12 + 2*g1^17*t^8.74 - t^8.77/g1^8 - t^4.44/(g1^2*y) - t^6.6/(g1^5*y) - t^7.21/(g1^10*y) + t^7.44/(g1^2*y) + (g1^2*t^7.56)/y + (2*g1^6*t^7.67)/y + t^7.93/(g1^11*y) + (2*t^8.05)/(g1^7*y) + (3*t^8.16)/(g1^3*y) + (4*g1*t^8.28)/y + (2*g1^5*t^8.4)/y + (g1^9*t^8.51)/y + t^8.65/(g1^12*y) + (3*t^8.88)/(g1^4*y) - (t^4.44*y)/g1^2 - (t^6.6*y)/g1^5 - (t^7.21*y)/g1^10 + (t^7.44*y)/g1^2 + g1^2*t^7.56*y + 2*g1^6*t^7.67*y + (t^7.93*y)/g1^11 + (2*t^8.05*y)/g1^7 + (3*t^8.16*y)/g1^3 + 4*g1*t^8.28*y + 2*g1^5*t^8.4*y + g1^9*t^8.51*y + (t^8.65*y)/g1^12 + (3*t^8.88*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 48105 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6276 | 0.8128 | 0.7721 | [X:[], M:[1.0, 0.9266, 0.7225, 1.0367, 0.7592], q:[0.7592, 0.2408], qb:[0.5183, 0.555], phi:[0.4817]] | t^2.17 + 2*t^2.28 + t^2.39 + t^2.78 + t^2.89 + t^3. + t^3.11 + t^3.83 + t^3.94 + t^4.33 + 2*t^4.44 + 5*t^4.56 + 3*t^4.67 + 2*t^4.78 + t^4.95 + 2*t^5.06 + 3*t^5.17 + 4*t^5.28 + 3*t^5.39 + t^5.5 + t^5.56 + t^5.67 + 2*t^5.78 - t^6. - t^4.44/y - t^4.44*y | detail | |
| 47229 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6291 | 0.8166 | 0.7704 | [X:[], M:[1.0, 0.915, 0.7181, 1.0425, 0.7181], q:[0.7606, 0.2394], qb:[0.5213, 0.5638], phi:[0.4787]] | 2*t^2.15 + t^2.28 + t^2.41 + t^2.74 + t^2.87 + t^3. + t^3.13 + t^3.72 + t^3.97 + 3*t^4.31 + 2*t^4.44 + 4*t^4.56 + 2*t^4.69 + 2*t^4.82 + 2*t^4.9 + 2*t^5.03 + 3*t^5.15 + 4*t^5.28 + 2*t^5.41 + t^5.49 + t^5.54 + t^5.62 + 2*t^5.74 + 2*t^5.87 - t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46332 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6134 | 0.7861 | 0.7803 | [X:[], M:[1.0, 0.8885, 0.7082], q:[0.7639, 0.2361], qb:[0.5279, 0.5837], phi:[0.4721]] | t^2.12 + t^2.29 + t^2.46 + t^2.67 + 2*t^2.83 + t^3. + t^3.71 + t^3.88 + t^4.04 + t^4.25 + t^4.42 + 3*t^4.58 + 2*t^4.75 + t^4.79 + 2*t^4.92 + 2*t^4.96 + 3*t^5.12 + 3*t^5.29 + t^5.33 + t^5.46 + 2*t^5.5 + 4*t^5.67 + t^5.83 - t^6. - t^4.42/y - t^4.42*y | detail |