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 |
|---|---|---|---|---|---|---|---|---|---|
| 5780 | 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_1M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_8$ + $ M_5M_7$ + $ M_5M_9$ | 0.705 | 0.8719 | 0.8086 | [X:[], M:[1.0803, 1.0201, 0.8796, 0.9197, 1.0401, 1.0, 0.9599, 0.9197, 0.9599], q:[0.5, 0.4197], qb:[0.5803, 0.5401], phi:[0.49]] | [X:[], M:[[8], [2], [-12], [-8], [4], [0], [-4], [-8], [-4]], q:[[0], [-8]], qb:[[8], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_8$, $ M_7$, $ M_9$, $ M_6$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_4$, $ M_3M_8$, $ M_4^2$, $ M_3M_7$, $ M_4M_8$, $ M_8^2$, $ M_3M_9$, $ M_3M_6$, $ M_4M_7$, $ M_7M_8$, $ M_4M_9$, $ M_8M_9$, $ M_2M_3$, $ M_4M_6$, $ M_7^2$, $ M_6M_8$, $ M_7M_9$, $ M_9^2$, $ M_2M_4$, $ M_2M_8$, $ M_2M_7$, $ M_2M_9$ | . | -3 | t^2.64 + 2*t^2.76 + 2*t^2.88 + t^3. + t^3.06 + t^3.99 + t^4.23 + t^4.35 + 2*t^4.47 + t^4.59 + 2*t^4.71 + t^4.83 + t^4.95 + t^5.28 + 2*t^5.4 + 4*t^5.52 + 4*t^5.64 + t^5.7 + 3*t^5.76 + 2*t^5.82 + 2*t^5.94 - 3*t^6. + t^6.06 - 2*t^6.12 - 2*t^6.24 - t^6.36 - t^6.48 + t^6.63 + 2*t^6.75 + 3*t^6.87 + 3*t^6.99 + 4*t^7.11 + 5*t^7.23 + 5*t^7.35 + 4*t^7.47 + 3*t^7.59 + 2*t^7.71 + t^7.92 - t^7.95 + t^7.98 + 2*t^8.04 - t^8.07 + 4*t^8.16 + t^8.22 + 6*t^8.28 + 2*t^8.34 + 5*t^8.4 + 4*t^8.46 + 3*t^8.52 + 5*t^8.58 - 2*t^8.64 + 7*t^8.7 - 8*t^8.76 + 5*t^8.82 - 11*t^8.88 + 4*t^8.94 - t^4.47/y - t^7.11/y - t^7.23/y - t^7.35/y + t^7.59/y + t^7.71/y + t^7.83/y + (2*t^8.4)/y + (3*t^8.52)/y + (5*t^8.64)/y + t^8.7/y + (3*t^8.76)/y + (2*t^8.82)/y + (2*t^8.88)/y + (2*t^8.94)/y - t^4.47*y - t^7.11*y - t^7.23*y - t^7.35*y + t^7.59*y + t^7.71*y + t^7.83*y + 2*t^8.4*y + 3*t^8.52*y + 5*t^8.64*y + t^8.7*y + 3*t^8.76*y + 2*t^8.82*y + 2*t^8.88*y + 2*t^8.94*y | t^2.64/g1^12 + (2*t^2.76)/g1^8 + (2*t^2.88)/g1^4 + t^3. + g1^2*t^3.06 + t^3.99/g1^17 + t^4.23/g1^9 + t^4.35/g1^5 + (2*t^4.47)/g1 + g1^3*t^4.59 + 2*g1^7*t^4.71 + g1^11*t^4.83 + g1^15*t^4.95 + t^5.28/g1^24 + (2*t^5.4)/g1^20 + (4*t^5.52)/g1^16 + (4*t^5.64)/g1^12 + t^5.7/g1^10 + (3*t^5.76)/g1^8 + (2*t^5.82)/g1^6 + (2*t^5.94)/g1^2 - 3*t^6. + g1^2*t^6.06 - 2*g1^4*t^6.12 - 2*g1^8*t^6.24 - g1^12*t^6.36 - g1^16*t^6.48 + t^6.63/g1^29 + (2*t^6.75)/g1^25 + (3*t^6.87)/g1^21 + (3*t^6.99)/g1^17 + (4*t^7.11)/g1^13 + (5*t^7.23)/g1^9 + (5*t^7.35)/g1^5 + (4*t^7.47)/g1 + 3*g1^3*t^7.59 + 2*g1^7*t^7.71 + t^7.92/g1^36 - g1^15*t^7.95 + t^7.98/g1^34 + (2*t^8.04)/g1^32 - g1^19*t^8.07 + (4*t^8.16)/g1^28 + t^8.22/g1^26 + (6*t^8.28)/g1^24 + (2*t^8.34)/g1^22 + (5*t^8.4)/g1^20 + (4*t^8.46)/g1^18 + (3*t^8.52)/g1^16 + (5*t^8.58)/g1^14 - (2*t^8.64)/g1^12 + (7*t^8.7)/g1^10 - (8*t^8.76)/g1^8 + (5*t^8.82)/g1^6 - (11*t^8.88)/g1^4 + (4*t^8.94)/g1^2 - t^4.47/(g1*y) - t^7.11/(g1^13*y) - t^7.23/(g1^9*y) - t^7.35/(g1^5*y) + (g1^3*t^7.59)/y + (g1^7*t^7.71)/y + (g1^11*t^7.83)/y + (2*t^8.4)/(g1^20*y) + (3*t^8.52)/(g1^16*y) + (5*t^8.64)/(g1^12*y) + t^8.7/(g1^10*y) + (3*t^8.76)/(g1^8*y) + (2*t^8.82)/(g1^6*y) + (2*t^8.88)/(g1^4*y) + (2*t^8.94)/(g1^2*y) - (t^4.47*y)/g1 - (t^7.11*y)/g1^13 - (t^7.23*y)/g1^9 - (t^7.35*y)/g1^5 + g1^3*t^7.59*y + g1^7*t^7.71*y + g1^11*t^7.83*y + (2*t^8.4*y)/g1^20 + (3*t^8.52*y)/g1^16 + (5*t^8.64*y)/g1^12 + (t^8.7*y)/g1^10 + (3*t^8.76*y)/g1^8 + (2*t^8.82*y)/g1^6 + (2*t^8.88*y)/g1^4 + (2*t^8.94*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 4331 | 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_1M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_8$ + $ M_5M_7$ | 0.7015 | 0.8648 | 0.8111 | [X:[], M:[1.0697, 1.0174, 0.8955, 0.9303, 1.0348, 1.0, 0.9652, 0.9303], q:[0.5, 0.4303], qb:[0.5697, 0.5348], phi:[0.4913]] | t^2.69 + 2*t^2.79 + t^2.9 + t^3. + t^3.05 + t^3.1 + t^4.06 + t^4.26 + t^4.37 + 2*t^4.47 + t^4.58 + 2*t^4.68 + t^4.79 + t^4.89 + t^5.37 + 2*t^5.48 + 3*t^5.58 + 2*t^5.69 + t^5.74 + 2*t^5.79 + 2*t^5.84 + t^5.9 + t^5.95 - 2*t^6. - t^4.47/y - t^4.47*y | detail |