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 |
|---|---|---|---|---|---|---|---|---|---|
| 56757 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_2M_6$ + $ M_7\phi_1^2$ + $ M_8\tilde{q}_1\tilde{q}_2$ | 0.7139 | 0.8819 | 0.8095 | [X:[], M:[1.0354, 1.0636, 0.9646, 0.8374, 0.9364, 0.9364, 1.0495, 0.8655], q:[0.4187, 0.5459], qb:[0.5177, 0.6168], phi:[0.4752]] | [X:[], M:[[8, 0], [-12, 4], [-8, 0], [16, -8], [12, -4], [12, -4], [-2, 2], [-4, -4]], q:[[8, -4], [-16, 4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_8$, $ M_5$, $ M_6$, $ M_3$, $ M_1$, $ M_7$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_8$, $ \phi_1\tilde{q}_2^2$, $ M_8^2$, $ M_4M_5$, $ M_4M_6$, $ M_3M_4$, $ M_5M_8$, $ M_6M_8$, $ M_3M_8$, $ M_1M_4$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_4M_7$, $ M_3M_5$, $ M_3M_6$, $ M_1M_8$, $ M_7M_8$, $ M_1M_5$, $ M_1M_6$, $ M_5M_7$, $ M_6M_7$ | . | -3 | t^2.51 + t^2.6 + 2*t^2.81 + t^2.89 + t^3.11 + t^3.15 + t^3.94 + t^4.23 + t^4.32 + 2*t^4.53 + t^4.62 + t^4.7 + t^4.83 + t^4.91 + t^5.02 + t^5.11 + t^5.13 + t^5.19 + 2*t^5.32 + 2*t^5.41 + t^5.49 + 3*t^5.62 + t^5.66 + t^5.7 + t^5.75 + t^5.92 + 2*t^5.96 - 3*t^6. + t^6.04 - t^6.08 + t^6.25 - 2*t^6.3 - t^6.38 + t^6.45 + t^6.53 - t^6.59 + 3*t^6.75 + 2*t^6.83 + t^6.92 + 4*t^7.04 + 3*t^7.13 + 2*t^7.21 + t^7.3 + 4*t^7.34 + 2*t^7.43 + 2*t^7.51 + t^7.54 + t^7.59 + t^7.62 + 3*t^7.64 + t^7.71 + t^7.79 + 2*t^7.83 + t^7.88 + 2*t^7.92 + 2*t^7.94 + 2*t^8. - t^8.02 + t^8.09 - t^8.1 + 3*t^8.13 + 2*t^8.17 + t^8.21 + t^8.23 + 2*t^8.26 + t^8.3 - t^8.32 + t^8.34 + 3*t^8.43 + 4*t^8.47 - 4*t^8.51 + 3*t^8.55 - 4*t^8.6 + 2*t^8.64 - t^8.68 + t^8.72 + 5*t^8.77 - 9*t^8.81 + 3*t^8.85 - 6*t^8.89 + t^8.94 + t^8.96 - 2*t^8.98 - t^4.43/y - t^6.94/y - t^7.02/y - t^7.23/y + t^7.62/y + t^7.83/y + t^7.91/y + t^8.11/y + (2*t^8.32)/y + (3*t^8.41)/y + t^8.49/y + (2*t^8.62)/y + t^8.66/y + (3*t^8.7)/y + t^8.75/y + (2*t^8.92)/y + (2*t^8.96)/y - t^4.43*y - t^6.94*y - t^7.02*y - t^7.23*y + t^7.62*y + t^7.83*y + t^7.91*y + t^8.11*y + 2*t^8.32*y + 3*t^8.41*y + t^8.49*y + 2*t^8.62*y + t^8.66*y + 3*t^8.7*y + t^8.75*y + 2*t^8.92*y + 2*t^8.96*y | (g1^16*t^2.51)/g2^8 + t^2.6/(g1^4*g2^4) + (2*g1^12*t^2.81)/g2^4 + t^2.89/g1^8 + g1^8*t^3.11 + (g2^2*t^3.15)/g1^2 + (g1^17*t^3.94)/g2^9 + (g1^13*t^4.23)/g2^5 + t^4.32/(g1^7*g2) + (2*g1^9*t^4.53)/g2 + (g2^3*t^4.62)/g1^11 + (g2^7*t^4.7)/g1^31 + g1^5*g2^3*t^4.83 + (g2^7*t^4.91)/g1^15 + (g1^32*t^5.02)/g2^16 + (g1^12*t^5.11)/g2^12 + g1*g2^7*t^5.13 + t^5.19/(g1^8*g2^8) + (2*g1^28*t^5.32)/g2^12 + (2*g1^8*t^5.41)/g2^8 + t^5.49/(g1^12*g2^4) + (3*g1^24*t^5.62)/g2^8 + (g1^14*t^5.66)/g2^6 + (g1^4*t^5.7)/g2^4 + t^5.75/(g1^6*g2^2) + (g1^20*t^5.92)/g2^4 + (2*g1^10*t^5.96)/g2^2 - 3*t^6. + (g2^2*t^6.04)/g1^10 - (g2^4*t^6.08)/g1^20 + g1^6*g2^2*t^6.25 - (2*g2^4*t^6.3)/g1^4 - (g2^8*t^6.38)/g1^24 + (g1^33*t^6.45)/g2^17 + (g1^13*t^6.53)/g2^13 - (g2^8*t^6.59)/g1^8 + (3*g1^29*t^6.75)/g2^13 + (2*g1^9*t^6.83)/g2^9 + t^6.92/(g1^11*g2^5) + (4*g1^25*t^7.04)/g2^9 + (3*g1^5*t^7.13)/g2^5 + (2*t^7.21)/(g1^15*g2) + (g2^3*t^7.3)/g1^35 + (4*g1^21*t^7.34)/g2^5 + (2*g1*t^7.43)/g2 + (2*g2^3*t^7.51)/g1^19 + (g1^48*t^7.54)/g2^24 + (g2^7*t^7.59)/g1^39 + (g1^28*t^7.62)/g2^20 + (3*g1^17*t^7.64)/g2 + (g1^8*t^7.71)/g2^16 + t^7.79/(g1^12*g2^12) + (2*g1^44*t^7.83)/g2^20 + (g1^34*t^7.88)/g2^18 + (2*g1^24*t^7.92)/g2^16 + 2*g1^13*g2^3*t^7.94 + (2*g1^4*t^8.)/g2^12 - (g2^7*t^8.02)/g1^7 + t^8.09/(g1^16*g2^8) - (g2^11*t^8.1)/g1^27 + (3*g1^40*t^8.13)/g2^16 + (2*g1^30*t^8.17)/g2^14 + (g1^20*t^8.21)/g2^12 + g1^9*g2^7*t^8.23 + (2*g1^10*t^8.26)/g2^10 + t^8.3/g2^8 - (g2^11*t^8.32)/g1^11 + t^8.34/(g1^10*g2^6) + (3*g1^36*t^8.43)/g2^12 + (4*g1^26*t^8.47)/g2^10 - (4*g1^16*t^8.51)/g2^8 + (3*g1^6*t^8.55)/g2^6 - (4*t^8.6)/(g1^4*g2^4) + (2*t^8.64)/(g1^14*g2^2) - t^8.68/g1^24 + (g1^32*t^8.72)/g2^8 + (5*g1^22*t^8.77)/g2^6 - (9*g1^12*t^8.81)/g2^4 + (3*g1^2*t^8.85)/g2^2 - (6*t^8.89)/g1^8 + (g2^2*t^8.94)/g1^18 + (g1^49*t^8.96)/g2^25 - (2*g2^4*t^8.98)/g1^28 - (g1*t^4.43)/(g2*y) - (g1^17*t^6.94)/(g2^9*y) - t^7.02/(g1^3*g2^5*y) - (g1^13*t^7.23)/(g2^5*y) + (g2^3*t^7.62)/(g1^11*y) + (g1^5*g2^3*t^7.83)/y + (g2^7*t^7.91)/(g1^15*y) + (g1^12*t^8.11)/(g2^12*y) + (2*g1^28*t^8.32)/(g2^12*y) + (3*g1^8*t^8.41)/(g2^8*y) + t^8.49/(g1^12*g2^4*y) + (2*g1^24*t^8.62)/(g2^8*y) + (g1^14*t^8.66)/(g2^6*y) + (3*g1^4*t^8.7)/(g2^4*y) + t^8.75/(g1^6*g2^2*y) + (2*g1^20*t^8.92)/(g2^4*y) + (2*g1^10*t^8.96)/(g2^2*y) - (g1*t^4.43*y)/g2 - (g1^17*t^6.94*y)/g2^9 - (t^7.02*y)/(g1^3*g2^5) - (g1^13*t^7.23*y)/g2^5 + (g2^3*t^7.62*y)/g1^11 + g1^5*g2^3*t^7.83*y + (g2^7*t^7.91*y)/g1^15 + (g1^12*t^8.11*y)/g2^12 + (2*g1^28*t^8.32*y)/g2^12 + (3*g1^8*t^8.41*y)/g2^8 + (t^8.49*y)/(g1^12*g2^4) + (2*g1^24*t^8.62*y)/g2^8 + (g1^14*t^8.66*y)/g2^6 + (3*g1^4*t^8.7*y)/g2^4 + (t^8.75*y)/(g1^6*g2^2) + (2*g1^20*t^8.92*y)/g2^4 + (2*g1^10*t^8.96*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55054 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_5$ + $ M_2M_6$ + $ M_7\phi_1^2$ | 0.7046 | 0.8662 | 0.8135 | [X:[], M:[0.9999, 1.0679, 1.0001, 0.8644, 0.9321, 0.9321, 1.0339], q:[0.4322, 0.5679], qb:[0.4999, 0.5677], phi:[0.4831]] | t^2.59 + 2*t^2.8 + 2*t^3. + t^3.1 + t^3.2 + t^4.04 + t^4.25 + 3*t^4.45 + 2*t^4.65 + 3*t^4.86 + t^5.19 + 2*t^5.39 + 3*t^5.59 + t^5.69 + 2*t^5.8 + 2*t^5.9 - t^6. - t^4.45/y - t^4.45*y | detail |