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 |
|---|---|---|---|---|---|---|---|---|---|
| 526 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_3$ | 0.7211 | 0.8891 | 0.811 | [X:[], M:[0.9247, 0.774, 1.0753, 0.9247, 0.9247], q:[0.613, 0.4623], qb:[0.613, 0.4623], phi:[0.4623]] | [X:[], M:[[-2, -2], [-6, -6], [2, 2], [0, 4], [-4, -8]], q:[[4, 6], [-2, -4]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ M_1$, $ \phi_1^2$, $ M_4$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_2M_5$, $ M_1M_2$, $ M_2\phi_1^2$, $ M_2M_4$, $ M_5^2$, $ M_1M_5$, $ M_5\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_4M_5$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4\phi_1^2$, $ M_4^2$ | $M_3M_4$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | 0 | t^2.32 + 4*t^2.77 + 2*t^3.23 + 3*t^4.16 + 4*t^4.61 + t^4.64 + 3*t^5.07 + 4*t^5.1 + 8*t^5.55 - 2*t^6.45 + 3*t^6.48 + 12*t^6.93 + t^6.97 + 11*t^7.39 + 4*t^7.42 + 5*t^7.84 + 8*t^7.87 - t^8.29 + 12*t^8.32 - 7*t^8.77 + 3*t^8.8 - t^4.39/y - t^6.71/y - (3*t^7.16)/y + (3*t^7.61)/y + t^8.07/y + (4*t^8.1)/y + (8*t^8.55)/y - t^4.39*y - t^6.71*y - 3*t^7.16*y + 3*t^7.61*y + t^8.07*y + 4*t^8.1*y + 8*t^8.55*y | t^2.32/(g1^6*g2^6) + t^2.77/(g1^4*g2^8) + (2*t^2.77)/(g1^2*g2^2) + g2^4*t^2.77 + 2*g1^2*g2^2*t^3.23 + t^4.16/(g1^5*g2^9) + t^4.16/(g1^3*g2^3) + (g2^3*t^4.16)/g1 + t^4.61/(g1*g2^5) + 2*g1*g2*t^4.61 + g1^3*g2^7*t^4.61 + t^4.64/(g1^12*g2^12) + (g1^3*t^5.07)/g2 + g1^5*g2^5*t^5.07 + g1^7*g2^11*t^5.07 + t^5.1/(g1^10*g2^14) + (2*t^5.1)/(g1^8*g2^8) + t^5.1/(g1^6*g2^2) + t^5.55/(g1^8*g2^16) + t^5.55/(g1^6*g2^10) + (4*t^5.55)/(g1^4*g2^4) + (g2^2*t^5.55)/g1^2 + g2^8*t^5.55 - (g1^2*t^6.45)/g2^2 - g1^6*g2^10*t^6.45 + t^6.48/(g1^11*g2^15) + t^6.48/(g1^9*g2^9) + t^6.48/(g1^7*g2^3) + t^6.93/(g1^9*g2^17) + (3*t^6.93)/(g1^7*g2^11) + (4*t^6.93)/(g1^5*g2^5) + (3*g2*t^6.93)/g1^3 + (g2^7*t^6.93)/g1 + t^6.97/(g1^18*g2^18) + t^7.39/(g1^5*g2^13) + (3*t^7.39)/(g1^3*g2^7) + (3*t^7.39)/(g1*g2) + 3*g1*g2^5*t^7.39 + g1^3*g2^11*t^7.39 + t^7.42/(g1^16*g2^20) + (2*t^7.42)/(g1^14*g2^14) + t^7.42/(g1^12*g2^8) + t^7.84/(g1*g2^9) + (g1*t^7.84)/g2^3 + g1^3*g2^3*t^7.84 + g1^5*g2^9*t^7.84 + g1^7*g2^15*t^7.84 + t^7.87/(g1^14*g2^22) + t^7.87/(g1^12*g2^16) + (4*t^7.87)/(g1^10*g2^10) + t^7.87/(g1^8*g2^4) + (g2^2*t^7.87)/g1^6 - g1^7*g2^7*t^8.29 + (2*t^8.32)/g1^4 + t^8.32/(g1^12*g2^24) + (2*t^8.32)/(g1^10*g2^18) + (2*t^8.32)/(g1^8*g2^12) + (2*t^8.32)/(g1^6*g2^6) + (2*g2^6*t^8.32)/g1^2 + g2^12*t^8.32 + t^8.77/(g1^6*g2^14) - (3*t^8.77)/(g1^4*g2^8) - (3*t^8.77)/(g1^2*g2^2) - 3*g2^4*t^8.77 + g1^2*g2^10*t^8.77 + t^8.8/(g1^17*g2^21) + t^8.8/(g1^15*g2^15) + t^8.8/(g1^13*g2^9) - t^4.39/(g1*g2*y) - t^6.71/(g1^7*g2^7*y) - t^7.16/(g1^5*g2^9*y) - t^7.16/(g1^3*g2^3*y) - (g2^3*t^7.16)/(g1*y) + t^7.61/(g1*g2^5*y) + (g1*g2*t^7.61)/y + (g1^3*g2^7*t^7.61)/y + (g1^5*g2^5*t^8.07)/y + t^8.1/(g1^10*g2^14*y) + (2*t^8.1)/(g1^8*g2^8*y) + t^8.1/(g1^6*g2^2*y) + (2*t^8.55)/(g1^6*g2^10*y) + (4*t^8.55)/(g1^4*g2^4*y) + (2*g2^2*t^8.55)/(g1^2*y) - (t^4.39*y)/(g1*g2) - (t^6.71*y)/(g1^7*g2^7) - (t^7.16*y)/(g1^5*g2^9) - (t^7.16*y)/(g1^3*g2^3) - (g2^3*t^7.16*y)/g1 + (t^7.61*y)/(g1*g2^5) + g1*g2*t^7.61*y + g1^3*g2^7*t^7.61*y + g1^5*g2^5*t^8.07*y + (t^8.1*y)/(g1^10*g2^14) + (2*t^8.1*y)/(g1^8*g2^8) + (t^8.1*y)/(g1^6*g2^2) + (2*t^8.55*y)/(g1^6*g2^10) + (4*t^8.55*y)/(g1^4*g2^4) + (2*g2^2*t^8.55*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 819 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_2M_4$ | 0.6993 | 0.8587 | 0.8143 | [X:[], M:[0.9795, 0.9385, 1.0205, 1.0615, 0.8976], q:[0.5717, 0.4488], qb:[0.4898, 0.5307], phi:[0.4898]] | t^2.69 + t^2.82 + 2*t^2.94 + 2*t^3.06 + t^3.18 + t^4.16 + t^4.28 + 2*t^4.41 + 2*t^4.53 + 2*t^4.65 + t^4.78 + t^4.9 + t^5.39 + t^5.51 + 2*t^5.63 + 2*t^5.75 + 3*t^5.88 + t^6. - t^4.47/y - t^4.47*y | detail | |
| 822 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_6$ | 0.7284 | 0.9028 | 0.8068 | [X:[], M:[0.9169, 0.7506, 1.0831, 0.9169, 0.9169, 0.9169], q:[0.6247, 0.4584], qb:[0.6247, 0.4584], phi:[0.4584]] | t^2.25 + 5*t^2.75 + t^3.25 + 3*t^4.13 + t^4.5 + 4*t^4.62 + 5*t^5. + 3*t^5.12 + 12*t^5.5 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
| 821 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ | 0.7167 | 0.883 | 0.8116 | [X:[], M:[0.9355, 0.8065, 1.0645, 1.0, 0.871], q:[0.629, 0.4355], qb:[0.5645, 0.5], phi:[0.4678]] | t^2.42 + t^2.61 + 2*t^2.81 + t^3. + 2*t^3.19 + t^4.02 + t^4.21 + 2*t^4.4 + 2*t^4.6 + 2*t^4.79 + t^4.84 + t^4.98 + t^5.03 + t^5.18 + 3*t^5.23 + 2*t^5.42 + 4*t^5.61 + t^5.81 + t^6. - t^4.4/y - t^4.4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 336 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.7904 | 0.9838 | 0.8034 | [X:[], M:[0.7619, 0.7619, 0.7619, 0.7619, 0.7619], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]] | 6*t^2.29 + t^3.71 + 21*t^4.57 + 10*t^4.86 - 10*t^6. - t^4.14/y - t^4.14*y | detail | {a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 16/21, M3: 16/21, M4: 16/21, M5: 16/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21} |