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 |
|---|---|---|---|---|---|---|---|---|---|
| 1616 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6741 | 0.8369 | 0.8055 | [X:[], M:[1.1628, 1.1163, 0.9302, 1.0, 0.8372, 0.7674, 0.7907], q:[0.7791, 0.4535], qb:[0.3837, 0.6163], phi:[0.4419]] | [X:[], M:[[-3], [4], [-11], [0], [3], [-8], [10]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_7$, $ M_5$, $ M_3$, $ M_4$, $ M_2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_5M_6$, $ M_5M_7$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_3M_7$, $ M_3M_5$, $ M_4M_6$, $ M_4M_7$, $ M_3^2$, $ M_2M_6$, $ M_2M_7$, $ M_3M_4$, $ M_1M_6$, $ M_2M_5$, $ M_1M_7$ | . | -1 | t^2.3 + t^2.37 + t^2.51 + t^2.79 + t^3. + t^3.35 + t^3.49 + t^3.84 + t^4.05 + t^4.19 + t^4.33 + t^4.53 + t^4.6 + t^4.67 + t^4.74 + t^4.81 + t^4.88 + 2*t^5.02 + t^5.09 + t^5.16 + t^5.3 + t^5.37 + t^5.58 + t^5.65 + t^5.72 + t^5.79 + 2*t^5.86 - t^6. + t^6.14 + t^6.28 + 2*t^6.35 + t^6.42 + 2*t^6.56 + t^6.63 + t^6.7 + 2*t^6.84 + 2*t^6.91 + t^6.98 + 2*t^7.05 + 2*t^7.12 + t^7.19 + t^7.26 + 2*t^7.33 + 3*t^7.4 + t^7.47 + 3*t^7.53 + t^7.6 + 2*t^7.67 + t^7.74 + 2*t^7.88 + 2*t^7.95 + t^8.02 + 3*t^8.09 + t^8.16 + 2*t^8.23 - 2*t^8.3 + 2*t^8.37 + t^8.44 - t^8.51 + 2*t^8.58 + 2*t^8.65 + t^8.72 - t^8.79 + t^8.86 + 3*t^8.93 - t^4.33/y - t^6.63/y - t^6.7/y - t^7.12/y + t^7.53/y + t^7.67/y + t^7.81/y + t^7.88/y + t^7.95/y + t^8.02/y + t^8.09/y + t^8.16/y + (2*t^8.3)/y + t^8.37/y + t^8.51/y + t^8.65/y + t^8.72/y + (2*t^8.79)/y + (2*t^8.86)/y - t^8.93/y - t^4.33*y - t^6.63*y - t^6.7*y - t^7.12*y + t^7.53*y + t^7.67*y + t^7.81*y + t^7.88*y + t^7.95*y + t^8.02*y + t^8.09*y + t^8.16*y + 2*t^8.3*y + t^8.37*y + t^8.51*y + t^8.65*y + t^8.72*y + 2*t^8.79*y + 2*t^8.86*y - t^8.93*y | t^2.3/g1^8 + g1^10*t^2.37 + g1^3*t^2.51 + t^2.79/g1^11 + t^3. + g1^4*t^3.35 + t^3.49/g1^3 + g1*t^3.84 + g1^12*t^4.05 + g1^5*t^4.19 + t^4.33/g1^2 + g1^9*t^4.53 + t^4.6/g1^16 + g1^2*t^4.67 + g1^20*t^4.74 + t^4.81/g1^5 + g1^13*t^4.88 + 2*g1^6*t^5.02 + t^5.09/g1^19 + t^5.16/g1 + t^5.3/g1^8 + g1^10*t^5.37 + t^5.58/g1^22 + t^5.65/g1^4 + g1^14*t^5.72 + t^5.79/g1^11 + 2*g1^7*t^5.86 - t^6. + t^6.14/g1^7 + t^6.28/g1^14 + 2*g1^4*t^6.35 + g1^22*t^6.42 + 2*g1^15*t^6.56 + t^6.63/g1^10 + g1^8*t^6.7 + 2*g1*t^6.84 + t^6.91/g1^24 + g1^19*t^6.91 + t^6.98/g1^6 + 2*g1^12*t^7.05 + t^7.12/g1^13 + g1^30*t^7.12 + g1^5*t^7.19 + g1^23*t^7.26 + (2*t^7.33)/g1^2 + t^7.4/g1^27 + 2*g1^16*t^7.4 + t^7.47/g1^9 + 3*g1^9*t^7.53 + t^7.6/g1^16 + 2*g1^2*t^7.67 + g1^20*t^7.74 + t^7.88/g1^30 + g1^13*t^7.88 + (2*t^7.95)/g1^12 + g1^6*t^8.02 + t^8.09/g1^19 + 2*g1^24*t^8.09 + t^8.16/g1 + 2*g1^17*t^8.23 - (2*t^8.3)/g1^8 + t^8.37/g1^33 + g1^10*t^8.37 + t^8.44/g1^15 - g1^3*t^8.51 + t^8.58/g1^22 + g1^21*t^8.58 + (2*t^8.65)/g1^4 + g1^14*t^8.72 - (2*t^8.79)/g1^11 + g1^32*t^8.79 + g1^7*t^8.86 + t^8.93/g1^18 + 2*g1^25*t^8.93 - t^4.33/(g1^2*y) - t^6.63/(g1^10*y) - (g1^8*t^6.7)/y - t^7.12/(g1^13*y) + (g1^9*t^7.53)/y + (g1^2*t^7.67)/y + t^7.81/(g1^5*y) + (g1^13*t^7.88)/y + t^7.95/(g1^12*y) + (g1^6*t^8.02)/y + t^8.09/(g1^19*y) + t^8.16/(g1*y) + (2*t^8.3)/(g1^8*y) + (g1^10*t^8.37)/y + (g1^3*t^8.51)/y + t^8.65/(g1^4*y) + (g1^14*t^8.72)/y + (2*t^8.79)/(g1^11*y) + (2*g1^7*t^8.86)/y - t^8.93/(g1^18*y) - (t^4.33*y)/g1^2 - (t^6.63*y)/g1^10 - g1^8*t^6.7*y - (t^7.12*y)/g1^13 + g1^9*t^7.53*y + g1^2*t^7.67*y + (t^7.81*y)/g1^5 + g1^13*t^7.88*y + (t^7.95*y)/g1^12 + g1^6*t^8.02*y + (t^8.09*y)/g1^19 + (t^8.16*y)/g1 + (2*t^8.3*y)/g1^8 + g1^10*t^8.37*y + g1^3*t^8.51*y + (t^8.65*y)/g1^4 + g1^14*t^8.72*y + (2*t^8.79*y)/g1^11 + 2*g1^7*t^8.86*y - (t^8.93*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4007 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_1M_8$ | 0.6883 | 0.8617 | 0.7987 | [X:[], M:[1.1656, 1.1126, 0.9405, 1.0, 0.8344, 0.7749, 0.7814, 0.8344], q:[0.7781, 0.447], qb:[0.3874, 0.6126], phi:[0.4437]] | t^2.32 + t^2.34 + 2*t^2.5 + t^2.82 + t^3. + t^3.34 + t^3.83 + t^4.01 + t^4.17 + t^4.33 + t^4.51 + t^4.65 + t^4.67 + t^4.69 + 2*t^4.83 + 2*t^4.85 + 4*t^5.01 + t^5.15 + t^5.17 + 2*t^5.32 + t^5.34 + t^5.5 + t^5.64 + t^5.66 + t^5.68 + 2*t^5.84 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 4008 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6942 | 0.8744 | 0.7939 | [X:[], M:[1.1624, 1.1168, 0.9289, 1.0, 0.8376, 0.7665, 0.7919, 0.7208], q:[0.7792, 0.4543], qb:[0.3832, 0.6168], phi:[0.4416]] | t^2.16 + t^2.3 + t^2.38 + t^2.51 + t^2.79 + t^3. + t^3.35 + t^3.49 + t^4.05 + t^4.19 + 2*t^4.32 + t^4.46 + 2*t^4.54 + t^4.6 + 2*t^4.68 + t^4.75 + t^4.81 + t^4.89 + t^4.95 + 2*t^5.03 + t^5.09 + 2*t^5.16 + t^5.3 + t^5.38 + t^5.51 + t^5.57 + 2*t^5.65 + t^5.73 + t^5.79 + 2*t^5.86 - t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1037 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ | 0.6579 | 0.8085 | 0.8137 | [X:[], M:[1.1541, 1.1279, 0.8983, 1.0, 0.8459, 0.7442], q:[0.782, 0.4738], qb:[0.3721, 0.6279], phi:[0.436]] | t^2.23 + t^2.54 + t^2.69 + t^3. + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.15 + t^4.23 + t^4.31 + t^4.47 + t^4.61 + t^4.77 + t^4.93 + 2*t^5.08 + t^5.23 + t^5.39 + t^5.62 + t^5.69 + t^5.77 + t^5.92 - t^6. - t^4.31/y - t^4.31*y | detail |