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 |
|---|---|---|---|---|---|---|---|---|---|
| 936 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_6$ | 0.7097 | 0.8751 | 0.811 | [X:[], M:[0.9631, 0.953, 1.0839, 0.8322, 1.0, 0.9161], q:[0.4765, 0.5604], qb:[0.4396, 0.6074], phi:[0.479]] | [X:[], M:[[12, 4], [-8, -8], [-4, 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 |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_6$, $ M_2M_4$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_4M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ M_5\phi_1^2$ | . | -2 | t^2.5 + t^2.75 + t^2.86 + t^2.87 + t^2.89 + t^3. + t^3.25 + t^4.07 + t^4.19 + t^4.3 + t^4.44 + t^4.55 + t^4.58 + t^4.69 + t^4.8 + t^4.94 + t^4.99 + t^5.08 + t^5.25 + t^5.36 + t^5.37 + t^5.39 + t^5.5 + t^5.62 + t^5.72 + t^5.73 + 3*t^5.75 + t^5.76 + t^5.78 + t^5.87 - 2*t^6. + t^6.13 - t^6.25 - t^6.36 - t^6.39 + t^6.57 + t^6.68 + t^6.79 + t^6.82 + 2*t^6.93 + t^6.95 + t^6.96 + 2*t^7.04 + t^7.06 + 2*t^7.07 + t^7.16 + t^7.17 + 2*t^7.19 - t^7.2 + 2*t^7.3 + t^7.33 + t^7.41 + 2*t^7.44 + t^7.45 + t^7.47 + t^7.49 + 2*t^7.55 + t^7.58 + t^7.66 - t^7.7 + t^7.74 + t^7.8 + t^7.83 + t^7.85 + t^7.87 + t^7.88 - t^7.93 + t^7.94 + t^7.96 + t^7.97 + t^7.99 - t^8.07 + t^8.12 + t^8.15 + t^8.23 + 3*t^8.25 + 2*t^8.26 + t^8.28 + t^8.33 + 2*t^8.37 - t^8.39 + t^8.48 - 2*t^8.5 + t^8.51 + t^8.58 + 2*t^8.59 + t^8.61 + 4*t^8.62 + t^8.64 + 2*t^8.65 + t^8.67 + t^8.73 - 3*t^8.75 + t^8.76 + t^8.84 - 5*t^8.86 - 4*t^8.89 + 2*t^8.98 - t^4.44/y - t^6.93/y - t^7.3/y - t^7.31/y - t^7.33/y + t^7.55/y + t^7.56/y + t^7.58/y + t^7.94/y + t^8.25/y + t^8.36/y + t^8.37/y + t^8.39/y + t^8.5/y + t^8.61/y + t^8.62/y + t^8.64/y + t^8.73/y + (3*t^8.75)/y + t^8.76/y + t^8.86/y + t^8.87/y + t^8.89/y - t^4.44*y - t^6.93*y - t^7.3*y - t^7.31*y - t^7.33*y + t^7.55*y + t^7.56*y + t^7.58*y + t^7.94*y + t^8.25*y + t^8.36*y + t^8.37*y + t^8.39*y + t^8.5*y + t^8.61*y + t^8.62*y + t^8.64*y + t^8.73*y + 3*t^8.75*y + t^8.76*y + t^8.86*y + t^8.87*y + t^8.89*y | (g1^8*t^2.5)/g2^8 + (g1^4*t^2.75)/g2^4 + t^2.86/(g1^8*g2^8) + (g1^2*t^2.87)/g2^2 + g1^12*g2^4*t^2.89 + t^3. + (g2^4*t^3.25)/g1^4 + (g1^17*t^4.07)/g2 + (g1^5*t^4.19)/g2^5 + t^4.3/(g1^7*g2^9) + (g1*t^4.44)/g2 + t^4.55/(g1^11*g2^5) + g1^9*g2^7*t^4.58 + (g2^3*t^4.69)/g1^3 + t^4.8/(g1^15*g2) + (g2^7*t^4.94)/g1^7 + (g1^16*t^4.99)/g2^16 + g1*g2^15*t^5.08 + (g1^12*t^5.25)/g2^12 + t^5.36/g2^16 + (g1^10*t^5.37)/g2^10 + (g1^20*t^5.39)/g2^4 + (g1^8*t^5.5)/g2^8 + (g1^6*t^5.62)/g2^6 + t^5.72/(g1^16*g2^16) + t^5.73/(g1^6*g2^10) + (3*g1^4*t^5.75)/g2^4 + g1^14*g2^2*t^5.76 + g1^24*g2^8*t^5.78 + (g1^2*t^5.87)/g2^2 - 2*t^6. + (g2^2*t^6.13)/g1^2 - (g2^4*t^6.25)/g1^4 - t^6.36/g1^16 - g1^4*g2^12*t^6.39 + (g1^25*t^6.57)/g2^9 + (g1^13*t^6.68)/g2^13 + (g1*t^6.79)/g2^17 + (g1^21*t^6.82)/g2^5 + (2*g1^9*t^6.93)/g2^9 + (g1^19*t^6.95)/g2^3 + g1^29*g2^3*t^6.96 + (2*t^7.04)/(g1^3*g2^13) + (g1^7*t^7.06)/g2^7 + (2*g1^17*t^7.07)/g2 + t^7.16/(g1^15*g2^17) + t^7.17/(g1^5*g2^11) + (2*g1^5*t^7.19)/g2^5 - g1^15*g2*t^7.2 + (2*t^7.3)/(g1^7*g2^9) + g1^13*g2^3*t^7.33 + t^7.41/(g1^19*g2^13) + (2*g1*t^7.44)/g2 + g1^11*g2^5*t^7.45 + g1^21*g2^11*t^7.47 + (g1^24*t^7.49)/g2^24 + (2*t^7.55)/(g1^11*g2^5) + g1^9*g2^7*t^7.58 + t^7.66/(g1^23*g2^9) - g1^7*g2^9*t^7.7 + (g1^20*t^7.74)/g2^20 + t^7.8/(g1^15*g2) + g1^5*g2^11*t^7.83 + (g1^8*t^7.85)/g2^24 + (g1^18*t^7.87)/g2^18 + (g1^28*t^7.88)/g2^12 - (g2*t^7.93)/g1^17 + (g2^7*t^7.94)/g1^7 + g1^3*g2^13*t^7.96 + g1^13*g2^19*t^7.97 + (g1^16*t^7.99)/g2^16 - (g2^9*t^8.07)/g1^9 + (g1^14*t^8.12)/g2^14 + (g1^34*t^8.15)/g2^2 + t^8.21/(g1^8*g2^24) - (g2^17*t^8.21)/g1 + (g1^2*t^8.23)/g2^18 + (3*g1^12*t^8.25)/g2^12 + (2*g1^22*t^8.26)/g2^6 + g1^32*t^8.28 + (g2^19*t^8.33)/g1^3 + (2*g1^10*t^8.37)/g2^10 - (g1^20*t^8.39)/g2^4 + t^8.48/(g1^2*g2^14) - (2*g1^8*t^8.5)/g2^8 + (g1^18*t^8.51)/g2^2 + t^8.58/(g1^24*g2^24) + (2*t^8.59)/(g1^14*g2^18) + t^8.61/(g1^4*g2^12) + (4*g1^6*t^8.62)/g2^6 + g1^16*t^8.64 + 2*g1^26*g2^6*t^8.65 + g1^36*g2^12*t^8.67 + t^8.73/(g1^6*g2^10) - (3*g1^4*t^8.75)/g2^4 + g1^14*g2^2*t^8.76 + t^8.84/(g1^18*g2^14) - (5*t^8.86)/(g1^8*g2^8) - 4*g1^12*g2^4*t^8.89 + (2*t^8.98)/(g1^10*g2^6) - (g1*t^4.44)/(g2*y) - (g1^9*t^6.93)/(g2^9*y) - t^7.3/(g1^7*g2^9*y) - (g1^3*t^7.31)/(g2^3*y) - (g1^13*g2^3*t^7.33)/y + t^7.55/(g1^11*g2^5*y) + (g2*t^7.56)/(g1*y) + (g1^9*g2^7*t^7.58)/y + (g2^7*t^7.94)/(g1^7*y) + (g1^12*t^8.25)/(g2^12*y) + t^8.36/(g2^16*y) + (g1^10*t^8.37)/(g2^10*y) + (g1^20*t^8.39)/(g2^4*y) + (g1^8*t^8.5)/(g2^8*y) + t^8.61/(g1^4*g2^12*y) + (g1^6*t^8.62)/(g2^6*y) + (g1^16*t^8.64)/y + t^8.73/(g1^6*g2^10*y) + (3*g1^4*t^8.75)/(g2^4*y) + (g1^14*g2^2*t^8.76)/y + t^8.86/(g1^8*g2^8*y) + (g1^2*t^8.87)/(g2^2*y) + (g1^12*g2^4*t^8.89)/y - (g1*t^4.44*y)/g2 - (g1^9*t^6.93*y)/g2^9 - (t^7.3*y)/(g1^7*g2^9) - (g1^3*t^7.31*y)/g2^3 - g1^13*g2^3*t^7.33*y + (t^7.55*y)/(g1^11*g2^5) + (g2*t^7.56*y)/g1 + g1^9*g2^7*t^7.58*y + (g2^7*t^7.94*y)/g1^7 + (g1^12*t^8.25*y)/g2^12 + (t^8.36*y)/g2^16 + (g1^10*t^8.37*y)/g2^10 + (g1^20*t^8.39*y)/g2^4 + (g1^8*t^8.5*y)/g2^8 + (t^8.61*y)/(g1^4*g2^12) + (g1^6*t^8.62*y)/g2^6 + g1^16*t^8.64*y + (t^8.73*y)/(g1^6*g2^10) + (3*g1^4*t^8.75*y)/g2^4 + g1^14*g2^2*t^8.76*y + (t^8.86*y)/(g1^8*g2^8) + (g1^2*t^8.87*y)/g2^2 + g1^12*g2^4*t^8.89*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 1437 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_6$ + $ M_3M_7$ | 0.7181 | 0.8914 | 0.8055 | [X:[], M:[0.9573, 0.9431, 1.0996, 0.8008, 1.0, 0.9004, 0.9004], q:[0.4716, 0.5711], qb:[0.4289, 0.628], phi:[0.4751]] | t^2.4 + 2*t^2.7 + t^2.83 + t^2.85 + t^2.87 + t^3. + t^4. + t^4.13 + t^4.25 + t^4.43 + t^4.55 + t^4.6 + t^4.72 + t^4.81 + t^4.85 + t^5.02 + 2*t^5.1 + t^5.19 + t^5.23 + t^5.25 + t^5.27 + 3*t^5.4 + t^5.53 + 2*t^5.55 + t^5.57 + t^5.66 + t^5.68 + 3*t^5.7 + t^5.72 + t^5.74 + t^5.85 - 3*t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 595 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_6q_1\tilde{q}_2$ | 0.7674 | 0.9598 | 0.7995 | [X:[], M:[0.8347, 0.8347, 0.8347, 0.8347, 1.0, 0.6694], q:[0.6653, 0.5], qb:[0.5, 0.6653], phi:[0.4174]] | t^2.01 + 5*t^2.5 + t^3. + t^4.02 + 3*t^4.25 + 5*t^4.51 + 4*t^4.75 + 16*t^5.01 + 3*t^5.24 + t^5.5 - 7*t^6. - t^4.25/y - t^4.25*y | detail |