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 |
|---|---|---|---|---|---|---|---|---|---|
| 46508 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6308 | 0.8213 | 0.7681 | [X:[], M:[0.6903, 0.6903, 1.0, 0.9045, 1.0477], q:[0.7619, 0.5477], qb:[0.5477, 0.2381], phi:[0.4761]] | [X:[], M:[[1, 9], [-1, 1], [0, 0], [0, 8], [0, -4]], q:[[0, -1], [-1, -8]], qb:[[1, 0], [0, 1]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_5$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2M_4$, $ M_1M_4$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ M_2M_3$, $ M_4q_2\tilde{q}_2$, $ M_1M_3$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1M_5$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_5q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_3M_4$, $ \phi_1^4$, $ M_2\phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ M_3\phi_1^2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | $M_5\phi_1^2$ | -4 | 2*t^2.07 + 2*t^2.36 + t^2.71 + t^2.86 + t^3. + t^3.14 + 2*t^3.79 + 3*t^4.14 + 4*t^4.43 + 6*t^4.71 + 2*t^4.78 + 2*t^4.93 + 2*t^5.07 + 4*t^5.21 + 2*t^5.36 + t^5.43 + 2*t^5.5 + t^5.57 + 2*t^5.71 + 5*t^5.86 - 4*t^6. + 4*t^6.14 + 4*t^6.21 + 6*t^6.5 + 10*t^6.79 + 3*t^6.86 - 2*t^6.93 + 3*t^7. + 8*t^7.07 + 3*t^7.14 + 7*t^7.29 + 2*t^7.43 + 2*t^7.5 + 8*t^7.57 + 2*t^7.64 + 2*t^7.71 + 4*t^7.78 + 3*t^7.86 + 8*t^7.93 - 6*t^8.07 + t^8.14 + 8*t^8.21 + 6*t^8.28 - 10*t^8.36 + 2*t^8.43 + 8*t^8.5 + 10*t^8.57 - 2*t^8.64 - t^8.71 + 9*t^8.86 + 4*t^8.93 - t^4.43/y - (2*t^6.5)/y + (4*t^7.43)/y + (2*t^7.71)/y + (2*t^7.78)/y + (2*t^7.93)/y + (4*t^8.07)/y + (4*t^8.21)/y + (4*t^8.36)/y + (2*t^8.5)/y - (2*t^8.57)/y + t^8.71/y + (6*t^8.86)/y - t^4.43*y - 2*t^6.5*y + 4*t^7.43*y + 2*t^7.71*y + 2*t^7.78*y + 2*t^7.93*y + 4*t^8.07*y + 4*t^8.21*y + 4*t^8.36*y + 2*t^8.5*y - 2*t^8.57*y + t^8.71*y + 6*t^8.86*y | (g2*t^2.07)/g1 + g1*g2^9*t^2.07 + t^2.36/(g1*g2^7) + g1*g2*t^2.36 + g2^8*t^2.71 + g2^4*t^2.86 + t^3. + t^3.14/g2^4 + t^3.79/(g1*g2^5) + g1*g2^3*t^3.79 + (g2^2*t^4.14)/g1^2 + g2^10*t^4.14 + g1^2*g2^18*t^4.14 + t^4.43/(g1^2*g2^6) + 2*g2^2*t^4.43 + g1^2*g2^10*t^4.43 + (2*t^4.71)/(g1^2*g2^14) + (2*t^4.71)/g2^6 + 2*g1^2*g2^2*t^4.71 + (g2^9*t^4.78)/g1 + g1*g2^17*t^4.78 + (g2^5*t^4.93)/g1 + g1*g2^13*t^4.93 + (g2*t^5.07)/g1 + g1*g2^9*t^5.07 + (2*t^5.21)/(g1*g2^3) + 2*g1*g2^5*t^5.21 + t^5.36/(g1*g2^7) + g1*g2*t^5.36 + g2^16*t^5.43 + t^5.5/(g1*g2^11) + (g1*t^5.5)/g2^3 + g2^12*t^5.57 + 2*g2^8*t^5.71 + t^5.86/(g1^2*g2^4) + 3*g2^4*t^5.86 + g1^2*g2^12*t^5.86 - 2*t^6. - t^6./(g1^2*g2^8) - g1^2*g2^8*t^6. + t^6.14/(g1^2*g2^12) + (2*t^6.14)/g2^4 + g1^2*g2^4*t^6.14 + (g2^3*t^6.21)/g1^3 + (g2^11*t^6.21)/g1 + g1*g2^19*t^6.21 + g1^3*g2^27*t^6.21 + t^6.5/(g1^3*g2^5) + (2*g2^3*t^6.5)/g1 + 2*g1*g2^11*t^6.5 + g1^3*g2^19*t^6.5 + (2*t^6.79)/(g1^3*g2^13) + (3*t^6.79)/(g1*g2^5) + 3*g1*g2^3*t^6.79 + 2*g1^3*g2^11*t^6.79 + (g2^10*t^6.86)/g1^2 + g2^18*t^6.86 + g1^2*g2^26*t^6.86 - t^6.93/(g1*g2^9) - (g1*t^6.93)/g2 + (g2^6*t^7.)/g1^2 + g2^14*t^7. + g1^2*g2^22*t^7. + (2*t^7.07)/(g1^3*g2^21) + (2*t^7.07)/(g1*g2^13) + (2*g1*t^7.07)/g2^5 + 2*g1^3*g2^3*t^7.07 + (g2^2*t^7.14)/g1^2 + g2^10*t^7.14 + g1^2*g2^18*t^7.14 + (2*t^7.29)/(g1^2*g2^2) + 3*g2^6*t^7.29 + 2*g1^2*g2^14*t^7.29 + t^7.43/(g1^2*g2^6) + g1^2*g2^10*t^7.43 + (g2^17*t^7.5)/g1 + g1*g2^25*t^7.5 + (3*t^7.57)/(g1^2*g2^10) + (2*t^7.57)/g2^2 + 3*g1^2*g2^6*t^7.57 + (g2^13*t^7.64)/g1 + g1*g2^21*t^7.64 + t^7.71/(g1^2*g2^14) + g1^2*g2^2*t^7.71 + (2*g2^9*t^7.78)/g1 + 2*g1*g2^17*t^7.78 + t^7.86/(g1^2*g2^18) + t^7.86/g2^10 + (g1^2*t^7.86)/g2^2 + t^7.93/(g1^3*g2^3) + (3*g2^5*t^7.93)/g1 + 3*g1*g2^13*t^7.93 + g1^3*g2^21*t^7.93 - t^8.07/(g1^3*g2^7) - (2*g2*t^8.07)/g1 - 2*g1*g2^9*t^8.07 - g1^3*g2^17*t^8.07 + g2^24*t^8.14 + t^8.21/(g1^3*g2^11) + (3*t^8.21)/(g1*g2^3) + 3*g1*g2^5*t^8.21 + g1^3*g2^13*t^8.21 + (g2^4*t^8.28)/g1^4 + (g2^12*t^8.28)/g1^2 + 2*g2^20*t^8.28 + g1^2*g2^28*t^8.28 + g1^4*g2^36*t^8.28 - t^8.36/(g1^3*g2^15) - (4*t^8.36)/(g1*g2^7) - 4*g1*g2*t^8.36 - g1^3*g2^9*t^8.36 + 2*g2^16*t^8.43 + (2*t^8.5)/(g1^3*g2^19) + (2*t^8.5)/(g1*g2^11) + (2*g1*t^8.5)/g2^3 + 2*g1^3*g2^5*t^8.5 + t^8.57/(g1^4*g2^4) + (2*g2^4*t^8.57)/g1^2 + 4*g2^12*t^8.57 + 2*g1^2*g2^20*t^8.57 + g1^4*g2^28*t^8.57 - t^8.64/(g1*g2^15) - (g1*t^8.64)/g2^7 - g2^8*t^8.71 + (2*t^8.86)/(g1^4*g2^12) + (2*t^8.86)/(g1^2*g2^4) + g2^4*t^8.86 + 2*g1^2*g2^12*t^8.86 + 2*g1^4*g2^20*t^8.86 + (g2^11*t^8.93)/g1^3 + (g2^19*t^8.93)/g1 + g1*g2^27*t^8.93 + g1^3*g2^35*t^8.93 - (g2^2*t^4.43)/y - (g2^3*t^6.5)/(g1*y) - (g1*g2^11*t^6.5)/y + t^7.43/(g1^2*g2^6*y) + (2*g2^2*t^7.43)/y + (g1^2*g2^10*t^7.43)/y + (2*t^7.71)/(g2^6*y) + (g2^9*t^7.78)/(g1*y) + (g1*g2^17*t^7.78)/y + (g2^5*t^7.93)/(g1*y) + (g1*g2^13*t^7.93)/y + (2*g2*t^8.07)/(g1*y) + (2*g1*g2^9*t^8.07)/y + (2*t^8.21)/(g1*g2^3*y) + (2*g1*g2^5*t^8.21)/y + (2*t^8.36)/(g1*g2^7*y) + (2*g1*g2*t^8.36)/y + t^8.5/(g1*g2^11*y) + (g1*t^8.5)/(g2^3*y) - (g2^4*t^8.57)/(g1^2*y) - (g1^2*g2^20*t^8.57)/y + (g2^8*t^8.71)/y + t^8.86/(g1^2*g2^4*y) + (4*g2^4*t^8.86)/y + (g1^2*g2^12*t^8.86)/y - g2^2*t^4.43*y - (g2^3*t^6.5*y)/g1 - g1*g2^11*t^6.5*y + (t^7.43*y)/(g1^2*g2^6) + 2*g2^2*t^7.43*y + g1^2*g2^10*t^7.43*y + (2*t^7.71*y)/g2^6 + (g2^9*t^7.78*y)/g1 + g1*g2^17*t^7.78*y + (g2^5*t^7.93*y)/g1 + g1*g2^13*t^7.93*y + (2*g2*t^8.07*y)/g1 + 2*g1*g2^9*t^8.07*y + (2*t^8.21*y)/(g1*g2^3) + 2*g1*g2^5*t^8.21*y + (2*t^8.36*y)/(g1*g2^7) + 2*g1*g2*t^8.36*y + (t^8.5*y)/(g1*g2^11) + (g1*t^8.5*y)/g2^3 - (g2^4*t^8.57*y)/g1^2 - g1^2*g2^20*t^8.57*y + g2^8*t^8.71*y + (t^8.86*y)/(g1^2*g2^4) + 4*g2^4*t^8.86*y + g1^2*g2^12*t^8.86*y |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46311 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4q_2\tilde{q}_1$ | 0.6359 | 0.8312 | 0.765 | [X:[], M:[0.6721, 0.6721, 1.0, 0.8754], q:[0.7656, 0.5623], qb:[0.5623, 0.2344], phi:[0.4689]] | 2*t^2.02 + 2*t^2.39 + t^2.63 + 2*t^2.81 + t^3. + 2*t^3.8 + 3*t^4.03 + 4*t^4.41 + 2*t^4.64 + 6*t^4.78 + 4*t^4.83 + 2*t^5.02 + 4*t^5.2 + t^5.25 + 2*t^5.39 + 2*t^5.44 + 4*t^5.63 + 5*t^5.81 - 5*t^6. - t^4.41/y - t^4.41*y | detail |