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 |
|---|---|---|---|---|---|---|---|---|---|
| 1316 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ | 0.706 | 0.8681 | 0.8132 | [X:[], M:[1.0752, 1.0376, 0.8495, 0.9665, 0.9583, 1.0, 0.9248], q:[0.4791, 0.4456], qb:[0.5544, 0.5961], phi:[0.4812]] | [X:[], M:[[4, 4], [2, 2], [-8, -8], [-12, 4], [8, -8], [0, 0], [-4, -4]], q:[[4, -4], [-8, 0]], qb:[[8, 0], [0, 8]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_7$, $ M_5$, $ M_4$, $ M_6$, $ M_2$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_7$, $ M_3M_5$, $ M_3M_4$, $ M_3M_6$, $ M_7^2$, $ M_2M_3$, $ M_5^2$, $ M_1M_3$, $ M_4M_5$, $ M_6M_7$, $ M_4^2$, $ M_2M_7$, $ M_2M_5$ | . | -2 | t^2.55 + t^2.77 + t^2.87 + t^2.9 + t^3. + t^3.11 + t^3.23 + t^4.12 + t^4.22 + t^4.32 + t^4.44 + t^4.54 + t^4.57 + t^4.67 + t^4.77 + t^4.9 + t^5.02 + t^5.1 + t^5.32 + t^5.42 + t^5.45 + t^5.55 + t^5.66 + t^5.75 + 2*t^5.77 + t^5.8 + t^5.89 + t^5.99 - 2*t^6. + t^6.01 + t^6.11 - t^6.33 + t^6.34 - t^6.35 + t^6.67 + t^6.77 + t^6.87 + t^6.89 + 2*t^6.99 + t^7.02 + 2*t^7.09 + 2*t^7.12 + t^7.19 + 2*t^7.22 + 2*t^7.32 + t^7.34 + t^7.42 + 2*t^7.44 + t^7.47 + 2*t^7.54 + t^7.57 + t^7.64 + t^7.65 + t^7.77 + t^7.79 + t^7.87 + t^7.9 + t^7.92 + t^7.97 + t^8. + t^8.1 + t^8.21 + t^8.23 + t^8.25 + t^8.3 + 2*t^8.32 + t^8.34 + t^8.35 + 2*t^8.44 - t^8.45 + 2*t^8.54 - 3*t^8.55 + 2*t^8.56 + t^8.62 + t^8.64 + 2*t^8.66 + t^8.69 + t^8.7 + t^8.76 - 3*t^8.77 + t^8.79 + 2*t^8.86 - 5*t^8.87 + 4*t^8.89 - 4*t^8.9 + t^8.91 + 2*t^8.99 - t^4.44/y - t^6.99/y - t^7.32/y - t^7.34/y + t^7.54/y + t^7.57/y + t^7.9/y + t^8.32/y + t^8.42/y + t^8.45/y + t^8.55/y + t^8.65/y + t^8.66/y + t^8.67/y + (3*t^8.77)/y + t^8.87/y + t^8.89/y + t^8.9/y + t^8.99/y - t^4.44*y - t^6.99*y - t^7.32*y - t^7.34*y + t^7.54*y + t^7.57*y + t^7.9*y + t^8.32*y + t^8.42*y + t^8.45*y + t^8.55*y + t^8.65*y + t^8.66*y + t^8.67*y + 3*t^8.77*y + t^8.87*y + t^8.89*y + t^8.9*y + t^8.99*y | t^2.55/(g1^8*g2^8) + t^2.77/(g1^4*g2^4) + (g1^8*t^2.87)/g2^8 + (g2^4*t^2.9)/g1^12 + t^3. + g1^2*g2^2*t^3.11 + g1^4*g2^4*t^3.23 + t^4.12/(g1^17*g2) + t^4.22/(g1^5*g2^5) + (g1^7*t^4.32)/g2^9 + t^4.44/(g1*g2) + (g1^11*t^4.54)/g2^5 + (g2^7*t^4.57)/g1^9 + g1^3*g2^3*t^4.67 + (g1^15*t^4.77)/g2 + g1^7*g2^7*t^4.9 + (g2^15*t^5.02)/g1 + t^5.1/(g1^16*g2^16) + t^5.32/(g1^12*g2^12) + t^5.42/g2^16 + t^5.45/(g1^20*g2^4) + t^5.55/(g1^8*g2^8) + t^5.66/(g1^6*g2^6) + (g1^16*t^5.75)/g2^16 + (2*t^5.77)/(g1^4*g2^4) + (g2^8*t^5.8)/g1^24 + t^5.89/(g1^2*g2^2) + (g1^10*t^5.99)/g2^6 - 2*t^6. + (g2^6*t^6.01)/g1^10 + g1^2*g2^2*t^6.11 - g1^16*t^6.33 + g1^6*g2^6*t^6.34 - (g2^12*t^6.35)/g1^4 + t^6.67/(g1^25*g2^9) + t^6.77/(g1^13*g2^13) + t^6.87/(g1*g2^17) + t^6.89/(g1^21*g2^5) + (2*t^6.99)/(g1^9*g2^9) + (g2^3*t^7.02)/g1^29 + (2*g1^3*t^7.09)/g2^13 + (2*t^7.12)/(g1^17*g2) + (g1^15*t^7.19)/g2^17 + (2*t^7.22)/(g1^5*g2^5) + (2*g1^7*t^7.32)/g2^9 + (g2^3*t^7.34)/g1^13 + (g1^19*t^7.42)/g2^13 + (2*t^7.44)/(g1*g2) + (g2^11*t^7.47)/g1^21 + (2*g1^11*t^7.54)/g2^5 + (g2^7*t^7.57)/g1^9 + (g1^23*t^7.64)/g2^9 + t^7.65/(g1^24*g2^24) + (g1^15*t^7.77)/g2 + (g2^11*t^7.79)/g1^5 + t^7.87/(g1^20*g2^20) + g1^7*g2^7*t^7.9 + (g2^19*t^7.92)/g1^13 + t^7.97/(g1^8*g2^24) + t^8./(g1^28*g2^12) + t^8.1/(g1^16*g2^16) + t^8.21/(g1^14*g2^14) + t^8.23/(g1^34*g2^2) + g1^3*g2^19*t^8.25 + (g1^8*t^8.3)/g2^24 + (2*t^8.32)/(g1^12*g2^12) + t^8.34/(g1^22*g2^6) + t^8.35/g1^32 + (2*t^8.44)/(g1^10*g2^10) - t^8.45/(g1^20*g2^4) + (2*g1^2*t^8.54)/g2^14 - (3*t^8.55)/(g1^8*g2^8) + (2*t^8.56)/(g1^18*g2^2) + (g1^24*t^8.62)/g2^24 + (g1^14*t^8.64)/g2^18 + (2*t^8.66)/(g1^6*g2^6) + (g2^6*t^8.69)/g1^26 + (g2^12*t^8.7)/g1^36 + (g1^6*t^8.76)/g2^10 - (3*t^8.77)/(g1^4*g2^4) + (g2^2*t^8.79)/g1^14 + (2*g1^18*t^8.86)/g2^14 - (5*g1^8*t^8.87)/g2^8 + (4*t^8.89)/(g1^2*g2^2) - (4*g2^4*t^8.9)/g1^12 + (g2^10*t^8.91)/g1^22 + (2*g1^10*t^8.99)/g2^6 - t^4.44/(g1*g2*y) - t^6.99/(g1^9*g2^9*y) - (g1^7*t^7.32)/(g2^9*y) - (g2^3*t^7.34)/(g1^13*y) + (g1^11*t^7.54)/(g2^5*y) + (g2^7*t^7.57)/(g1^9*y) + (g1^7*g2^7*t^7.9)/y + t^8.32/(g1^12*g2^12*y) + t^8.42/(g2^16*y) + t^8.45/(g1^20*g2^4*y) + t^8.55/(g1^8*g2^8*y) + (g1^4*t^8.65)/(g2^12*y) + t^8.66/(g1^6*g2^6*y) + t^8.67/(g1^16*y) + (3*t^8.77)/(g1^4*g2^4*y) + (g1^8*t^8.87)/(g2^8*y) + t^8.89/(g1^2*g2^2*y) + (g2^4*t^8.9)/(g1^12*y) + (g1^10*t^8.99)/(g2^6*y) - (t^4.44*y)/(g1*g2) - (t^6.99*y)/(g1^9*g2^9) - (g1^7*t^7.32*y)/g2^9 - (g2^3*t^7.34*y)/g1^13 + (g1^11*t^7.54*y)/g2^5 + (g2^7*t^7.57*y)/g1^9 + g1^7*g2^7*t^7.9*y + (t^8.32*y)/(g1^12*g2^12) + (t^8.42*y)/g2^16 + (t^8.45*y)/(g1^20*g2^4) + (t^8.55*y)/(g1^8*g2^8) + (g1^4*t^8.65*y)/g2^12 + (t^8.66*y)/(g1^6*g2^6) + (t^8.67*y)/g1^16 + (3*t^8.77*y)/(g1^4*g2^4) + (g1^8*t^8.87*y)/g2^8 + (t^8.89*y)/(g1^2*g2^2) + (g2^4*t^8.9*y)/g1^12 + (g1^10*t^8.99*y)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2349 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ | 0.7136 | 0.8827 | 0.8084 | [X:[], M:[1.0914, 1.0457, 0.8172, 0.9603, 0.9483, 1.0, 0.9086, 0.9086], q:[0.4742, 0.4344], qb:[0.5656, 0.6173], phi:[0.4771]] | t^2.45 + 2*t^2.73 + t^2.84 + t^2.88 + t^3. + t^3.14 + t^4.04 + t^4.16 + t^4.28 + t^4.43 + t^4.55 + t^4.59 + t^4.71 + t^4.82 + t^4.9 + t^4.98 + t^5.13 + 2*t^5.18 + t^5.3 + t^5.33 + 3*t^5.45 + t^5.57 + t^5.59 + t^5.61 + t^5.69 + 2*t^5.73 + t^5.76 + 2*t^5.86 + t^5.98 - 3*t^6. - t^4.43/y - t^4.43*y | detail | |
| 2348 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ \phi_1\tilde{q}_2^2$ | 0.6728 | 0.8419 | 0.7992 | [X:[], M:[1.1643, 1.0822, 0.6714, 1.0481, 0.7875, 1.0, 0.8357], q:[0.3938, 0.4419], qb:[0.5581, 0.7705], phi:[0.4589]] | t^2.01 + t^2.36 + t^2.51 + t^3. + t^3.14 + t^3.25 + t^3.49 + t^3.74 + t^3.88 + 2*t^4.03 + t^4.23 + 2*t^4.38 + t^4.52 + 2*t^4.73 + t^4.87 + 2*t^5.01 + t^5.16 + t^5.26 + t^5.36 + 2*t^5.51 + t^5.61 + 2*t^5.75 + t^5.9 - t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 832 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ | 0.7536 | 0.9338 | 0.807 | [X:[], M:[0.8465, 1.1535, 0.8465, 0.8465, 0.8465, 1.0, 0.693], q:[0.6535, 0.5], qb:[0.5, 0.6535], phi:[0.4233]] | t^2.08 + 4*t^2.54 + t^3. + t^3.46 + t^4.16 + 3*t^4.27 + 4*t^4.62 + 4*t^4.73 + 11*t^5.08 + 3*t^5.19 + t^5.54 - 3*t^6. - t^4.27/y - t^4.27*y | detail |