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 |
|---|---|---|---|---|---|---|---|---|---|
| 305 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ | 0.5883 | 0.7268 | 0.8095 | [X:[1.4118], M:[1.0196, 0.5882, 0.9804, 0.7451], q:[0.6667, 0.9412], qb:[0.3137, 0.5098], phi:[0.3922]] | [X:[[0, 1]], M:[[8, -5], [0, -1], [-8, 5], [-20, 12]], q:[[-13, 8], [15, -9]], qb:[[5, -3], [1, 0]], phi:[[-2, 1]]] | 2 | {a: 8161/13872, c: 5041/6936, X1: 24/17, M1: 52/51, M2: 10/17, M3: 50/51, M4: 38/51, q1: 2/3, q2: 16/17, qb1: 16/51, qb2: 26/51, phi1: 20/51} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ q_2\tilde{q}_2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ M_1M_4$, $ M_3\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_3^2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | 0 | t^2.24 + t^2.35 + t^2.47 + t^2.94 + t^3.06 + t^3.53 + t^3.65 + t^4.24 + t^4.35 + t^4.47 + t^4.59 + 2*t^4.71 + 2*t^4.82 + t^4.94 + t^5.18 + t^5.29 + t^5.41 + t^5.53 + t^5.76 + 2*t^5.88 + t^6.12 + t^6.47 + t^6.59 + 2*t^6.71 + 2*t^6.82 + 2*t^6.94 + 3*t^7.06 + 2*t^7.18 + t^7.29 + 2*t^7.41 + t^7.53 + t^7.65 + t^7.76 + t^7.88 + 2*t^8. + 2*t^8.12 - t^8.47 + t^8.59 + 2*t^8.71 + t^8.82 - t^4.18/y - t^6.41/y - t^6.53/y + t^7.59/y + t^7.71/y + (2*t^7.82)/y + t^7.94/y + t^8.18/y + (2*t^8.29)/y + (2*t^8.41)/y + t^8.53/y - t^8.65/y + t^8.88/y - t^4.18*y - t^6.41*y - t^6.53*y + t^7.59*y + t^7.71*y + 2*t^7.82*y + t^7.94*y + t^8.18*y + 2*t^8.29*y + 2*t^8.41*y + t^8.53*y - t^8.65*y + t^8.88*y | (g2^12*t^2.24)/g1^20 + (g2^2*t^2.35)/g1^4 + (g1^6*t^2.47)/g2^3 + (g2^5*t^2.94)/g1^8 + (g1^8*t^3.06)/g2^5 + (g2^8*t^3.53)/g1^12 + (g1^4*t^3.65)/g2^2 + g2*t^4.24 + (g1^16*t^4.35)/g2^9 + (g2^24*t^4.47)/g1^40 + (g2^14*t^4.59)/g1^24 + (g2^4*t^4.71)/g1^8 + (g2^9*t^4.71)/g1^14 + (2*g1^2*t^4.82)/g2 + (g1^12*t^4.94)/g2^6 + (g2^17*t^5.18)/g1^28 + (g2^7*t^5.29)/g1^12 + (g2^2*t^5.41)/g1^2 + (g1^14*t^5.53)/g2^8 + (g2^20*t^5.76)/g1^32 + (2*g2^10*t^5.88)/g1^16 - t^6. + (g2^5*t^6.)/g1^6 + (g1^10*t^6.12)/g2^5 - (g2^8*t^6.47)/g1^14 + (2*g2^13*t^6.47)/g1^20 - (g1^2*t^6.59)/g2^2 + (2*g2^3*t^6.59)/g1^4 + (g1^6*t^6.71)/g2^2 + (g2^36*t^6.71)/g1^60 + (g1^22*t^6.82)/g2^12 + (g2^26*t^6.82)/g1^44 + (g2^16*t^6.94)/g1^28 + (g2^21*t^6.94)/g1^34 + (g2^6*t^7.06)/g1^12 + (g2^11*t^7.06)/g1^18 + (g2^16*t^7.06)/g1^24 + (2*g2^6*t^7.18)/g1^8 - (g1^14*t^7.29)/g2^9 + (2*g1^8*t^7.29)/g2^4 + (g1^18*t^7.41)/g2^9 + (g2^29*t^7.41)/g1^48 + (g2^19*t^7.53)/g1^32 + (g2^14*t^7.65)/g1^22 + (g2^9*t^7.76)/g1^12 - (g1^10*t^7.88)/g2^6 + (2*g1^4*t^7.88)/g2 + (g1^20*t^8.)/g2^11 + (g2^32*t^8.)/g1^52 + (2*g2^22*t^8.12)/g1^36 - (g2^12*t^8.24)/g1^20 + (g2^17*t^8.24)/g1^26 - (2*g2^2*t^8.35)/g1^4 + (2*g2^7*t^8.35)/g1^10 - (g1^12*t^8.47)/g2^8 - (2*g1^6*t^8.47)/g2^3 + 2*g2^2*t^8.47 - (g1^22*t^8.59)/g2^13 + (2*g1^16*t^8.59)/g2^8 + (g1^32*t^8.71)/g2^18 - (g2^20*t^8.71)/g1^34 + (2*g2^25*t^8.71)/g1^40 - (g2^10*t^8.82)/g1^18 + (2*g2^15*t^8.82)/g1^24 - (3*g2^5*t^8.94)/g1^8 + (2*g2^10*t^8.94)/g1^14 + (g2^48*t^8.94)/g1^80 - (g2*t^4.18)/(g1^2*y) - (g2^13*t^6.41)/(g1^22*y) - (g2^3*t^6.53)/(g1^6*y) + (g2^14*t^7.59)/(g1^24*y) + (g2^9*t^7.71)/(g1^14*y) + (2*g1^2*t^7.82)/(g2*y) + (g1^18*t^7.94)/(g2^11*y) + (g2^17*t^8.18)/(g1^28*y) + (2*g2^7*t^8.29)/(g1^12*y) + (g1^4*t^8.41)/(g2^3*y) + (g2^2*t^8.41)/(g1^2*y) + (g1^14*t^8.53)/(g2^8*y) - (g2^25*t^8.65)/(g1^42*y) - (g2^15*t^8.76)/(g1^26*y) + (g2^20*t^8.76)/(g1^32*y) - (g2^5*t^8.88)/(g1^10*y) + (2*g2^10*t^8.88)/(g1^16*y) - (g2*t^4.18*y)/g1^2 - (g2^13*t^6.41*y)/g1^22 - (g2^3*t^6.53*y)/g1^6 + (g2^14*t^7.59*y)/g1^24 + (g2^9*t^7.71*y)/g1^14 + (2*g1^2*t^7.82*y)/g2 + (g1^18*t^7.94*y)/g2^11 + (g2^17*t^8.18*y)/g1^28 + (2*g2^7*t^8.29*y)/g1^12 + (g1^4*t^8.41*y)/g2^3 + (g2^2*t^8.41*y)/g1^2 + (g1^14*t^8.53*y)/g2^8 - (g2^25*t^8.65*y)/g1^42 - (g2^15*t^8.76*y)/g1^26 + (g2^20*t^8.76*y)/g1^32 - (g2^5*t^8.88*y)/g1^10 + (2*g2^10*t^8.88*y)/g1^16 |
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 |
|---|---|---|---|---|---|---|---|---|
| 480 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_3M_5$ | 0.5873 | 0.7232 | 0.8121 | [X:[1.4354], M:[1.0024, 0.5646, 0.9976, 0.7764, 1.0024], q:[0.6917, 0.9177], qb:[0.3059, 0.5224], phi:[0.3906]] | t^2.33 + t^2.34 + t^2.48 + 2*t^3.01 + t^3.64 + t^3.66 + t^4.31 + t^4.32 + t^4.66 + t^4.67 + t^4.69 + t^4.81 + 2*t^4.83 + t^4.97 + t^5.34 + t^5.35 + 2*t^5.49 + t^5.97 + t^5.99 - 2*t^6. - t^4.17/y - t^4.17*y | detail | |
| 481 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.5672 | 0.6901 | 0.8219 | [X:[1.6554], M:[0.9661, 0.3446, 1.0339, 0.7571], q:[0.7232, 0.9322], qb:[0.3107, 0.6554], phi:[0.3446]] | t^2.07 + t^2.27 + 2*t^2.9 + t^3.1 + t^3.93 + 2*t^4.14 + t^4.34 + t^4.54 + t^4.76 + 3*t^4.97 + 2*t^5.17 + t^5.37 + 2*t^5.8 - t^6. - t^4.03/y - t^4.03*y | detail | |
| 479 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ | 0.5526 | 0.6831 | 0.809 | [X:[1.412], M:[0.9176, 0.588, 1.0824, 1.0], q:[0.8324, 0.75], qb:[0.25, 0.4972], phi:[0.4176]] | t^2.24 + t^2.51 + t^2.75 + t^3. + t^3.25 + t^3.49 + t^3.74 + t^3.99 + t^4.24 + t^4.48 + 2*t^4.75 + t^4.99 + t^5.01 + t^5.24 + t^5.49 + t^5.51 + t^5.74 + t^5.75 + t^5.98 - t^4.25/y - t^4.25*y | detail | |
| 1768 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6052 | 0.7542 | 0.8024 | [X:[1.4629], M:[1.0, 0.5371, 1.0, 0.7685, 0.7685], q:[0.6921, 0.9236], qb:[0.3079, 0.5393], phi:[0.3843]] | 3*t^2.31 + t^2.54 + 2*t^3. + t^3.69 + 2*t^4.39 + 6*t^4.61 + 4*t^4.85 + t^5.08 + 4*t^5.31 + 2*t^5.54 + t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 193 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ | 0.57 | 0.6943 | 0.8211 | [X:[1.4099], M:[1.0, 0.5901, 1.0], q:[0.6988, 0.9037], qb:[0.3012, 0.5062], phi:[0.3975]] | t^2.39 + t^2.42 + 2*t^3. + 3*t^3.61 + 2*t^4.23 + t^4.77 + 2*t^4.81 + t^4.84 + 2*t^5.42 + t^6. - t^4.19/y - t^4.19*y | detail |