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 |
|---|---|---|---|---|---|---|---|---|---|
| 498 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_1M_5$ | 0.6999 | 0.852 | 0.8215 | [X:[], M:[0.9552, 1.0448, 0.9552, 0.9552, 1.0448], q:[0.5672, 0.4776], qb:[0.4776, 0.5672], phi:[0.4776]] | [X:[], M:[[-2, -2], [2, 2], [-8, -4], [4, 0], [2, 2]], q:[[6, 4], [-4, -2]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_1$, $ M_2$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_4^2$, $ M_3^2$ | $M_1M_2$, $ M_2M_3$, $ M_2M_4$, $ M_3M_5$, $ M_4M_5$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$ | 1 | 3*t^2.87 + 3*t^3.13 + t^3.4 + 3*t^4.3 + 4*t^4.57 + 3*t^4.84 + 2*t^5.73 + t^6. + 4*t^6.27 + 3*t^6.54 + t^6.81 + 5*t^7.16 + 7*t^7.43 + 9*t^7.7 + 6*t^7.97 + 3*t^8.24 + 6*t^8.6 - 3*t^8.87 - t^4.43/y - (2*t^7.3)/y + (2*t^7.57)/y + (3*t^8.73)/y - t^4.43*y - 2*t^7.3*y + 2*t^7.57*y + 3*t^8.73*y | g1^4*t^2.87 + t^2.87/(g1^8*g2^4) + t^2.87/(g1^2*g2^2) + 3*g1^2*g2^2*t^3.13 + g1^6*g2^6*t^3.4 + t^4.3/(g1^9*g2^5) + t^4.3/(g1^3*g2^3) + (g1^3*t^4.3)/g2 + t^4.57/(g1^5*g2) + 2*g1*g2*t^4.57 + g1^7*g2^3*t^4.57 + (g2^3*t^4.84)/g1 + g1^5*g2^5*t^4.84 + g1^11*g2^7*t^4.84 + g1^8*t^5.73 + t^5.73/(g1^16*g2^8) - t^6. + t^6./(g1^6*g2^2) + g1^6*g2^2*t^6. + 4*g1^4*g2^4*t^6.27 + 3*g1^8*g2^8*t^6.54 + g1^12*g2^12*t^6.81 + t^7.16/(g1^17*g2^9) + t^7.16/(g1^11*g2^7) + t^7.16/(g1^5*g2^5) + (g1*t^7.16)/g2^3 + (g1^7*t^7.16)/g2 + t^7.43/(g1^13*g2^5) + (2*t^7.43)/(g1^7*g2^3) + t^7.43/(g1*g2) + 2*g1^5*g2*t^7.43 + g1^11*g2^3*t^7.43 + t^7.7/(g1^9*g2) + (2*g2*t^7.7)/g1^3 + 3*g1^3*g2^3*t^7.7 + 2*g1^9*g2^5*t^7.7 + g1^15*g2^7*t^7.7 + 2*g1*g2^5*t^7.97 + 2*g1^7*g2^7*t^7.97 + 2*g1^13*g2^9*t^7.97 + g1^5*g2^9*t^8.24 + g1^11*g2^11*t^8.24 + g1^17*g2^13*t^8.24 + g1^12*t^8.6 + t^8.6/(g1^24*g2^12) + t^8.6/(g1^18*g2^10) + t^8.6/(g1^12*g2^8) + t^8.6/g2^4 + (g1^6*t^8.6)/g2^2 - 2*g1^4*t^8.87 + (2*t^8.87)/(g1^14*g2^6) - (2*t^8.87)/(g1^8*g2^4) - (3*t^8.87)/(g1^2*g2^2) + 2*g1^10*g2^2*t^8.87 - t^4.43/(g1*g2*y) - t^7.3/(g1^9*g2^5*y) - (g1^3*t^7.3)/(g2*y) + t^7.57/(g1^5*g2*y) + (g1^7*g2^3*t^7.57)/y + t^8.73/(g1^10*g2^6*y) + t^8.73/(g1^4*g2^4*y) + (g1^2*t^8.73)/(g2^2*y) - (t^4.43*y)/(g1*g2) - (t^7.3*y)/(g1^9*g2^5) - (g1^3*t^7.3*y)/g2 + (t^7.57*y)/(g1^5*g2) + g1^7*g2^3*t^7.57*y + (t^8.73*y)/(g1^10*g2^6) + (t^8.73*y)/(g1^4*g2^4) + (g1^2*t^8.73*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 785 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_1M_5$ + $ M_3^2$ | 0.6985 | 0.8513 | 0.8205 | [X:[], M:[0.9631, 1.0369, 1.0, 0.9263, 1.0369], q:[0.5369, 0.5], qb:[0.4631, 0.5737], phi:[0.4816]] | t^2.78 + t^2.89 + t^3. + 3*t^3.11 + t^3.33 + t^4.22 + t^4.33 + 2*t^4.44 + 2*t^4.56 + 2*t^4.67 + t^4.78 + t^4.89 + t^5.56 + t^5.89 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 320 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ | 0.7556 | 0.9204 | 0.821 | [X:[], M:[0.7942, 1.2058, 0.7942, 0.7942, 0.7604], q:[0.586, 0.6198], qb:[0.6198, 0.586], phi:[0.3971]] | t^2.28 + 3*t^2.38 + t^3.52 + 2*t^3.62 + t^4.56 + 3*t^4.66 + 3*t^4.71 + 6*t^4.77 + 4*t^4.81 + 3*t^4.91 + t^5.8 + t^5.9 - 2*t^6. - t^4.19/y - t^4.19*y | detail |