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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[-4, 1, 0], [2, 0, 2], [0, -1, -4], [-4, -1, 0], [0, 1, -4], [0, 0, 0], [-4, 0, -4]], q:[[4, 0, 0], [0, -1, 0]], qb:[[0, 1, 0], [0, 0, 4]], phi:[[-1, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ M_1$, $ M_3$, $ M_5$, $ M_6$, $ M_2$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_7$, $ M_5M_7$, $ M_4M_7$, $ M_1M_7$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_1^2$, $ M_3M_5$, $ M_3^2$, $ M_5^2$, $ M_1M_3$, $ M_4M_5$, $ M_6M_7$, $ M_3M_4$, $ M_1M_5$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_7$ | $M_1M_2$, $ M_2M_3$, $ M_2M_4$, $ M_2M_5$ | -3 | 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^6.24 + 3*t^6.35 - 3*t^6.46 + 4*t^6.7 + 12*t^6.81 + 11*t^7.16 + 15*t^7.27 + 21*t^7.62 + 8*t^7.73 - 6*t^8.08 - 4*t^8.19 + t^8.32 + 3*t^8.43 - 16*t^8.54 - 4*t^8.65 + 4*t^8.78 + 12*t^8.89 - t^4.27/y - t^6.35/y - (4*t^6.81)/y + (4*t^7.62)/y + (4*t^7.73)/y + (7*t^8.08)/y + t^8.19/y - t^8.43/y + (5*t^8.54)/y - (4*t^8.89)/y - t^4.27*y - t^6.35*y - 4*t^6.81*y + 4*t^7.62*y + 4*t^7.73*y + 7*t^8.08*y + t^8.19*y - t^8.43*y + 5*t^8.54*y - 4*t^8.89*y | t^2.08/(g1^4*g3^4) + t^2.54/(g1^4*g2) + (g2*t^2.54)/g1^4 + t^2.54/(g2*g3^4) + (g2*t^2.54)/g3^4 + t^3. + g1^2*g3^2*t^3.46 + t^4.16/(g1^8*g3^8) + t^4.27/(g1*g3) + t^4.27/(g1*g2^2*g3) + (g2^2*t^4.27)/(g1*g3) + t^4.62/(g1^4*g2*g3^8) + (g2*t^4.62)/(g1^4*g3^8) + t^4.62/(g1^8*g2*g3^4) + (g2*t^4.62)/(g1^8*g3^4) + (g1^3*t^4.73)/(g2*g3) + (g1^3*g2*t^4.73)/g3 + (g3^3*t^4.73)/(g1*g2) + (g2*g3^3*t^4.73)/g1 + t^5.08/g1^8 + t^5.08/(g1^8*g2^2) + (g2^2*t^5.08)/g1^8 + t^5.08/g3^8 + t^5.08/(g2^2*g3^8) + (g2^2*t^5.08)/g3^8 + (3*t^5.08)/(g1^4*g3^4) + t^5.08/(g1^4*g2^2*g3^4) + (g2^2*t^5.08)/(g1^4*g3^4) + (g1^7*t^5.19)/g3 + g1^3*g3^3*t^5.19 + (g3^7*t^5.19)/g1 + t^5.54/(g1^2*g3^2) - 3*t^6. - t^6./g2^2 - g2^2*t^6. - (g1^4*t^6.)/g3^4 + (g1^2*t^6.)/(g2*g3^2) + (g1^2*g2*t^6.)/g3^2 + (g3^2*t^6.)/(g1^2*g2) + (g2*g3^2*t^6.)/g1^2 - (g3^4*t^6.)/g1^4 + t^6.24/(g1^12*g3^12) + t^6.35/(g1^5*g3^5) + t^6.35/(g1^5*g2^2*g3^5) + (g2^2*t^6.35)/(g1^5*g3^5) - (g1^4*t^6.46)/g2 - g1^4*g2*t^6.46 + g1^2*g3^2*t^6.46 - (g3^4*t^6.46)/g2 - g2*g3^4*t^6.46 + t^6.7/(g1^8*g2*g3^12) + (g2*t^6.7)/(g1^8*g3^12) + t^6.7/(g1^12*g2*g3^8) + (g2*t^6.7)/(g1^12*g3^8) + t^6.81/(g1*g2^3*g3^5) + (2*t^6.81)/(g1*g2*g3^5) + (2*g2*t^6.81)/(g1*g3^5) + (g2^3*t^6.81)/(g1*g3^5) + t^6.81/(g1^5*g2^3*g3) + (2*t^6.81)/(g1^5*g2*g3) + (2*g2*t^6.81)/(g1^5*g3) + (g2^3*t^6.81)/(g1^5*g3) + t^7.16/(g1^4*g3^12) + t^7.16/(g1^4*g2^2*g3^12) + (g2^2*t^7.16)/(g1^4*g3^12) + (3*t^7.16)/(g1^8*g3^8) + t^7.16/(g1^8*g2^2*g3^8) + (g2^2*t^7.16)/(g1^8*g3^8) + t^7.16/(g1^12*g3^4) + t^7.16/(g1^12*g2^2*g3^4) + (g2^2*t^7.16)/(g1^12*g3^4) + (2*g1^3*t^7.27)/g3^5 + (g1^3*t^7.27)/(g2^2*g3^5) + (g1^3*g2^2*t^7.27)/g3^5 + (3*t^7.27)/(g1*g3) + (2*t^7.27)/(g1*g2^2*g3) + (2*g2^2*t^7.27)/(g1*g3) + (2*g3^3*t^7.27)/g1^5 + (g3^3*t^7.27)/(g1^5*g2^2) + (g2^2*g3^3*t^7.27)/g1^5 + t^7.62/(g1^12*g2^3) + t^7.62/(g1^12*g2) + (g2*t^7.62)/g1^12 + (g2^3*t^7.62)/g1^12 + t^7.62/(g2^3*g3^12) + t^7.62/(g2*g3^12) + (g2*t^7.62)/g3^12 + (g2^3*t^7.62)/g3^12 + t^7.62/(g1^4*g2^3*g3^8) + (2*t^7.62)/(g1^4*g2*g3^8) + (2*g2*t^7.62)/(g1^4*g3^8) + (g2^3*t^7.62)/(g1^4*g3^8) + t^7.62/(g1^6*g3^6) + t^7.62/(g1^8*g2^3*g3^4) + (2*t^7.62)/(g1^8*g2*g3^4) + (2*g2*t^7.62)/(g1^8*g3^4) + (g2^3*t^7.62)/(g1^8*g3^4) + (g1^7*t^7.73)/(g2*g3^5) + (g1^7*g2*t^7.73)/g3^5 + (g1^3*t^7.73)/(g2*g3) + (g1^3*g2*t^7.73)/g3 + (g3^3*t^7.73)/(g1*g2) + (g2*g3^3*t^7.73)/g1 + (g3^7*t^7.73)/(g1^5*g2) + (g2*g3^7*t^7.73)/g1^5 - t^8.08/g1^8 - t^8.08/g3^8 + t^8.08/(g1^2*g2*g3^6) + (g2*t^8.08)/(g1^2*g3^6) - (4*t^8.08)/(g1^4*g3^4) - (2*t^8.08)/(g1^4*g2^2*g3^4) - (2*g2^2*t^8.08)/(g1^4*g3^4) + t^8.08/(g1^6*g2*g3^2) + (g2*t^8.08)/(g1^6*g3^2) - 2*g1^3*g3^3*t^8.19 - (g1^3*g3^3*t^8.19)/g2^2 - g1^3*g2^2*g3^3*t^8.19 + t^8.32/(g1^16*g3^16) + t^8.43/(g1^9*g3^9) + t^8.43/(g1^9*g2^2*g3^9) + (g2^2*t^8.43)/(g1^9*g3^9) - t^8.54/(g1^4*g2^3) - (6*t^8.54)/(g1^4*g2) - (6*g2*t^8.54)/g1^4 - (g2^3*t^8.54)/g1^4 - (g1^4*t^8.54)/(g2*g3^8) - (g1^4*g2*t^8.54)/g3^8 + (g1^2*t^8.54)/g3^6 + (g1^2*t^8.54)/(g2^2*g3^6) + (g1^2*g2^2*t^8.54)/g3^6 - t^8.54/(g2^3*g3^4) - (6*t^8.54)/(g2*g3^4) - (6*g2*t^8.54)/g3^4 - (g2^3*t^8.54)/g3^4 + (4*t^8.54)/(g1^2*g3^2) + t^8.54/(g1^2*g2^4*g3^2) + (2*t^8.54)/(g1^2*g2^2*g3^2) + (2*g2^2*t^8.54)/(g1^2*g3^2) + (g2^4*t^8.54)/(g1^2*g3^2) + (g3^2*t^8.54)/g1^6 + (g3^2*t^8.54)/(g1^6*g2^2) + (g2^2*g3^2*t^8.54)/g1^6 - (g3^4*t^8.54)/(g1^8*g2) - (g2*g3^4*t^8.54)/g1^8 - (g1^7*g3^3*t^8.65)/g2 - g1^7*g2*g3^3*t^8.65 - (g1^3*g3^7*t^8.65)/g2 - g1^3*g2*g3^7*t^8.65 + t^8.78/(g1^12*g2*g3^16) + (g2*t^8.78)/(g1^12*g3^16) + t^8.78/(g1^16*g2*g3^12) + (g2*t^8.78)/(g1^16*g3^12) + t^8.89/(g1^5*g2^3*g3^9) + (2*t^8.89)/(g1^5*g2*g3^9) + (2*g2*t^8.89)/(g1^5*g3^9) + (g2^3*t^8.89)/(g1^5*g3^9) + t^8.89/(g1^9*g2^3*g3^5) + (2*t^8.89)/(g1^9*g2*g3^5) + (2*g2*t^8.89)/(g1^9*g3^5) + (g2^3*t^8.89)/(g1^9*g3^5) - t^4.27/(g1*g3*y) - t^6.35/(g1^5*g3^5*y) - t^6.81/(g1*g2*g3^5*y) - (g2*t^6.81)/(g1*g3^5*y) - t^6.81/(g1^5*g2*g3*y) - (g2*t^6.81)/(g1^5*g3*y) + t^7.62/(g1^4*g2*g3^8*y) + (g2*t^7.62)/(g1^4*g3^8*y) + t^7.62/(g1^8*g2*g3^4*y) + (g2*t^7.62)/(g1^8*g3^4*y) + (g1^3*t^7.73)/(g2*g3*y) + (g1^3*g2*t^7.73)/(g3*y) + (g3^3*t^7.73)/(g1*g2*y) + (g2*g3^3*t^7.73)/(g1*y) + t^8.08/(g1^8*y) + t^8.08/(g3^8*y) + (3*t^8.08)/(g1^4*g3^4*y) + t^8.08/(g1^4*g2^2*g3^4*y) + (g2^2*t^8.08)/(g1^4*g3^4*y) + (g1^3*g3^3*t^8.19)/y - t^8.43/(g1^9*g3^9*y) + t^8.54/(g1^4*g2*y) + (g2*t^8.54)/(g1^4*y) + t^8.54/(g2*g3^4*y) + (g2*t^8.54)/(g3^4*y) + t^8.54/(g1^2*g3^2*y) - t^8.89/(g1^5*g2*g3^9*y) - (g2*t^8.89)/(g1^5*g3^9*y) - t^8.89/(g1^9*g2*g3^5*y) - (g2*t^8.89)/(g1^9*g3^5*y) - (t^4.27*y)/(g1*g3) - (t^6.35*y)/(g1^5*g3^5) - (t^6.81*y)/(g1*g2*g3^5) - (g2*t^6.81*y)/(g1*g3^5) - (t^6.81*y)/(g1^5*g2*g3) - (g2*t^6.81*y)/(g1^5*g3) + (t^7.62*y)/(g1^4*g2*g3^8) + (g2*t^7.62*y)/(g1^4*g3^8) + (t^7.62*y)/(g1^8*g2*g3^4) + (g2*t^7.62*y)/(g1^8*g3^4) + (g1^3*t^7.73*y)/(g2*g3) + (g1^3*g2*t^7.73*y)/g3 + (g3^3*t^7.73*y)/(g1*g2) + (g2*g3^3*t^7.73*y)/g1 + (t^8.08*y)/g1^8 + (t^8.08*y)/g3^8 + (3*t^8.08*y)/(g1^4*g3^4) + (t^8.08*y)/(g1^4*g2^2*g3^4) + (g2^2*t^8.08*y)/(g1^4*g3^4) + g1^3*g3^3*t^8.19*y - (t^8.43*y)/(g1^9*g3^9) + (t^8.54*y)/(g1^4*g2) + (g2*t^8.54*y)/g1^4 + (t^8.54*y)/(g2*g3^4) + (g2*t^8.54*y)/g3^4 + (t^8.54*y)/(g1^2*g3^2) - (t^8.89*y)/(g1^5*g2*g3^9) - (g2*t^8.89*y)/(g1^5*g3^9) - (t^8.89*y)/(g1^9*g2*g3^5) - (g2*t^8.89*y)/(g1^9*g3^5) |
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 |
|---|---|---|---|---|---|---|---|---|
| 1316 | $M_1q_1q_2$ + $ 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]] | 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^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 |
|---|---|---|---|---|---|---|---|---|---|
| 534 | 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$ | 0.7331 | 0.8939 | 0.8201 | [X:[], M:[0.8539, 1.1461, 0.8539, 0.8539, 0.8539, 1.0], q:[0.6461, 0.5], qb:[0.5, 0.6461], phi:[0.427]] | 4*t^2.56 + t^3. + t^3.44 + t^3.88 + 3*t^4.28 + 4*t^4.72 + 10*t^5.12 + 3*t^5.16 - 3*t^6. - t^4.28/y - t^4.28*y | detail |