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 |
|---|---|---|---|---|---|---|---|---|---|
| 840 | 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_1M_7$ + $ M_5M_8$ | 0.742 | 0.9005 | 0.8241 | [X:[], M:[0.865, 1.1759, 0.7832, 0.7832, 0.865, 0.7832, 1.135, 1.135], q:[0.5675, 0.5675], qb:[0.6493, 0.5675], phi:[0.4121]] | [X:[], M:[[-4, -4, 0, 0], [2, 2, 2, 2], [0, 0, -4, -4], [-4, 0, -4, 0], [0, -4, 0, -4], [0, -4, -4, 0], [4, 4, 0, 0], [0, 4, 0, 4]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_3$, $ M_7$, $ q_1\tilde{q}_2$, $ M_8$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_6^2$, $ M_4M_6$, $ M_3^2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_6M_7$, $ M_4M_7$, $ M_3M_8$, $ M_3M_7$, $ M_6M_8$, $ M_4q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_4M_8$, $ M_2M_3$, $ M_2M_6$, $ M_2M_4$ | . | -10 | 3*t^2.35 + 3*t^3.4 + t^3.53 + 6*t^4.64 + 6*t^4.7 + 3*t^4.89 + t^5.13 + 6*t^5.75 + 3*t^5.88 - 10*t^6. - 3*t^6.25 + 6*t^6.81 + 3*t^6.93 + 15*t^6.99 + 10*t^7.05 + 15*t^8.05 + 10*t^8.1 + 6*t^8.23 - 27*t^8.35 - 3*t^8.6 - t^4.24/y - (3*t^6.59)/y + (3*t^7.7)/y + (3*t^7.89)/y + (9*t^8.75)/y + (3*t^8.88)/y - (6*t^8.94)/y - t^4.24*y - 3*t^6.59*y + 3*t^7.7*y + 3*t^7.89*y + 9*t^8.75*y + 3*t^8.88*y - 6*t^8.94*y | t^2.35/(g1^4*g3^4) + t^2.35/(g2^4*g3^4) + t^2.35/(g3^4*g4^4) + g1^4*g2^4*t^3.4 + g1^4*g4^4*t^3.4 + g2^4*g4^4*t^3.4 + g1^2*g2^2*g3^2*g4^2*t^3.53 + (g1^7*t^4.64)/(g2*g3*g4) + (g1^3*g2^3*t^4.64)/(g3*g4) + (g2^7*t^4.64)/(g1*g3*g4) + (g1^3*g4^3*t^4.64)/(g2*g3) + (g2^3*g4^3*t^4.64)/(g1*g3) + (g4^7*t^4.64)/(g1*g2*g3) + t^4.7/(g1^8*g3^8) + t^4.7/(g2^8*g3^8) + t^4.7/(g1^4*g2^4*g3^8) + t^4.7/(g3^8*g4^8) + t^4.7/(g1^4*g3^8*g4^4) + t^4.7/(g2^4*g3^8*g4^4) + (g1^3*g3^3*t^4.89)/(g2*g4) + (g2^3*g3^3*t^4.89)/(g1*g4) + (g3^3*g4^3*t^4.89)/(g1*g2) + (g3^7*t^5.13)/(g1*g2*g4) + (g1^4*t^5.75)/g3^4 + (g2^4*t^5.75)/g3^4 + (g1^4*g2^4*t^5.75)/(g3^4*g4^4) + (g4^4*t^5.75)/g3^4 + (g1^4*g4^4*t^5.75)/(g2^4*g3^4) + (g2^4*g4^4*t^5.75)/(g1^4*g3^4) + (g1^2*g2^2*t^5.88)/(g3^2*g4^2) + (g1^2*g4^2*t^5.88)/(g2^2*g3^2) + (g2^2*g4^2*t^5.88)/(g1^2*g3^2) - 4*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 - (g1^4*t^6.)/g4^4 - (g2^4*t^6.)/g4^4 - (g4^4*t^6.)/g1^4 - (g4^4*t^6.)/g2^4 - (g3^4*t^6.25)/g1^4 - (g3^4*t^6.25)/g2^4 - (g3^4*t^6.25)/g4^4 + g1^8*g2^8*t^6.81 + g1^8*g2^4*g4^4*t^6.81 + g1^4*g2^8*g4^4*t^6.81 + g1^8*g4^8*t^6.81 + g1^4*g2^4*g4^8*t^6.81 + g2^8*g4^8*t^6.81 + g1^6*g2^6*g3^2*g4^2*t^6.93 + g1^6*g2^2*g3^2*g4^6*t^6.93 + g1^2*g2^6*g3^2*g4^6*t^6.93 + (g1^7*t^6.99)/(g2*g3^5*g4^5) + (g1^3*g2^3*t^6.99)/(g3^5*g4^5) + (g2^7*t^6.99)/(g1*g3^5*g4^5) + (g1^7*t^6.99)/(g2^5*g3^5*g4) + (2*g1^3*t^6.99)/(g2*g3^5*g4) + (2*g2^3*t^6.99)/(g1*g3^5*g4) + (g2^7*t^6.99)/(g1^5*g3^5*g4) + (g1^3*g4^3*t^6.99)/(g2^5*g3^5) + (2*g4^3*t^6.99)/(g1*g2*g3^5) + (g2^3*g4^3*t^6.99)/(g1^5*g3^5) + (g4^7*t^6.99)/(g1*g2^5*g3^5) + (g4^7*t^6.99)/(g1^5*g2*g3^5) + t^7.05/(g1^12*g3^12) + t^7.05/(g2^12*g3^12) + t^7.05/(g1^4*g2^8*g3^12) + t^7.05/(g1^8*g2^4*g3^12) + t^7.05/(g3^12*g4^12) + t^7.05/(g1^4*g3^12*g4^8) + t^7.05/(g2^4*g3^12*g4^8) + t^7.05/(g1^8*g3^12*g4^4) + t^7.05/(g2^8*g3^12*g4^4) + t^7.05/(g1^4*g2^4*g3^12*g4^4) + (g1^11*g2^3*t^8.05)/(g3*g4) + (g1^7*g2^7*t^8.05)/(g3*g4) + (g1^3*g2^11*t^8.05)/(g3*g4) + (g1^11*g4^3*t^8.05)/(g2*g3) + (2*g1^7*g2^3*g4^3*t^8.05)/g3 + (2*g1^3*g2^7*g4^3*t^8.05)/g3 + (g2^11*g4^3*t^8.05)/(g1*g3) + (g1^7*g4^7*t^8.05)/(g2*g3) + (2*g1^3*g2^3*g4^7*t^8.05)/g3 + (g2^7*g4^7*t^8.05)/(g1*g3) + (g1^3*g4^11*t^8.05)/(g2*g3) + (g2^3*g4^11*t^8.05)/(g1*g3) + t^8.1/g3^8 + (g1^4*t^8.1)/(g2^4*g3^8) + (g2^4*t^8.1)/(g1^4*g3^8) + (g1^4*g2^4*t^8.1)/(g3^8*g4^8) + (g1^4*t^8.1)/(g3^8*g4^4) + (g2^4*t^8.1)/(g3^8*g4^4) + (g4^4*t^8.1)/(g1^4*g3^8) + (g1^4*g4^4*t^8.1)/(g2^8*g3^8) + (g4^4*t^8.1)/(g2^4*g3^8) + (g2^4*g4^4*t^8.1)/(g1^8*g3^8) + (g1^2*g2^2*t^8.23)/(g3^6*g4^6) + (g1^2*t^8.23)/(g2^2*g3^6*g4^2) + (g2^2*t^8.23)/(g1^2*g3^6*g4^2) + (g1^2*g4^2*t^8.23)/(g2^6*g3^6) + (g4^2*t^8.23)/(g1^2*g2^2*g3^6) + (g2^2*g4^2*t^8.23)/(g1^6*g3^6) - (5*t^8.35)/(g1^4*g3^4) - (g1^4*t^8.35)/(g2^8*g3^4) - (5*t^8.35)/(g2^4*g3^4) - (g2^4*t^8.35)/(g1^8*g3^4) - (g1^4*t^8.35)/(g3^4*g4^8) - (g2^4*t^8.35)/(g3^4*g4^8) - (5*t^8.35)/(g3^4*g4^4) - (2*g1^4*t^8.35)/(g2^4*g3^4*g4^4) - (2*g2^4*t^8.35)/(g1^4*g3^4*g4^4) - (g4^4*t^8.35)/(g1^8*g3^4) - (g4^4*t^8.35)/(g2^8*g3^4) - (2*g4^4*t^8.35)/(g1^4*g2^4*g3^4) - t^8.6/(g1^4*g2^4) - t^8.6/(g1^4*g4^4) - t^8.6/(g2^4*g4^4) - t^4.24/(g1*g2*g3*g4*y) - t^6.59/(g1*g2*g3^5*g4^5*y) - t^6.59/(g1*g2^5*g3^5*g4*y) - t^6.59/(g1^5*g2*g3^5*g4*y) + t^7.7/(g1^4*g2^4*g3^8*y) + t^7.7/(g1^4*g3^8*g4^4*y) + t^7.7/(g2^4*g3^8*g4^4*y) + (g1^3*g3^3*t^7.89)/(g2*g4*y) + (g2^3*g3^3*t^7.89)/(g1*g4*y) + (g3^3*g4^3*t^7.89)/(g1*g2*y) + (2*g1^4*t^8.75)/(g3^4*y) + (2*g2^4*t^8.75)/(g3^4*y) + (g1^4*g2^4*t^8.75)/(g3^4*g4^4*y) + (2*g4^4*t^8.75)/(g3^4*y) + (g1^4*g4^4*t^8.75)/(g2^4*g3^4*y) + (g2^4*g4^4*t^8.75)/(g1^4*g3^4*y) + (g1^2*g2^2*t^8.88)/(g3^2*g4^2*y) + (g1^2*g4^2*t^8.88)/(g2^2*g3^2*y) + (g2^2*g4^2*t^8.88)/(g1^2*g3^2*y) - t^8.94/(g1*g2*g3^9*g4^9*y) - t^8.94/(g1*g2^5*g3^9*g4^5*y) - t^8.94/(g1^5*g2*g3^9*g4^5*y) - t^8.94/(g1*g2^9*g3^9*g4*y) - t^8.94/(g1^5*g2^5*g3^9*g4*y) - t^8.94/(g1^9*g2*g3^9*g4*y) - (t^4.24*y)/(g1*g2*g3*g4) - (t^6.59*y)/(g1*g2*g3^5*g4^5) - (t^6.59*y)/(g1*g2^5*g3^5*g4) - (t^6.59*y)/(g1^5*g2*g3^5*g4) + (t^7.7*y)/(g1^4*g2^4*g3^8) + (t^7.7*y)/(g1^4*g3^8*g4^4) + (t^7.7*y)/(g2^4*g3^8*g4^4) + (g1^3*g3^3*t^7.89*y)/(g2*g4) + (g2^3*g3^3*t^7.89*y)/(g1*g4) + (g3^3*g4^3*t^7.89*y)/(g1*g2) + (2*g1^4*t^8.75*y)/g3^4 + (2*g2^4*t^8.75*y)/g3^4 + (g1^4*g2^4*t^8.75*y)/(g3^4*g4^4) + (2*g4^4*t^8.75*y)/g3^4 + (g1^4*g4^4*t^8.75*y)/(g2^4*g3^4) + (g2^4*g4^4*t^8.75*y)/(g1^4*g3^4) + (g1^2*g2^2*t^8.88*y)/(g3^2*g4^2) + (g1^2*g4^2*t^8.88*y)/(g2^2*g3^2) + (g2^2*g4^2*t^8.88*y)/(g1^2*g3^2) - (t^8.94*y)/(g1*g2*g3^9*g4^9) - (t^8.94*y)/(g1*g2^5*g3^9*g4^5) - (t^8.94*y)/(g1^5*g2*g3^9*g4^5) - (t^8.94*y)/(g1*g2^9*g3^9*g4) - (t^8.94*y)/(g1^5*g2^5*g3^9*g4) - (t^8.94*y)/(g1^9*g2*g3^9*g4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 2017 | $M_1q_1q_2$ + $ 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_1M_7$ + $ M_5M_8$ + $ \phi_1\tilde{q}_1^2$ | 0.7202 | 0.897 | 0.803 | [X:[], M:[0.9657, 1.1723, 0.6898, 0.6898, 0.9657, 0.6898, 1.0343, 1.0343], q:[0.5172, 0.5172], qb:[0.7931, 0.5172], phi:[0.4139]] | 3*t^2.07 + 3*t^3.1 + t^3.52 + 6*t^4.14 + 6*t^4.34 + 9*t^5.17 + 3*t^5.59 - 9*t^6. - t^4.24/y - t^4.24*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 |
|---|---|---|---|---|---|---|---|---|---|
| 536 | 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_1M_7$ | 0.7566 | 0.9235 | 0.8193 | [X:[], M:[0.8325, 1.2021, 0.7634, 0.797, 0.7989, 0.7634, 1.1675], q:[0.5669, 0.6005], qb:[0.6361, 0.6005], phi:[0.399]] | 2*t^2.29 + t^2.39 + t^2.4 + 2*t^3.5 + t^3.61 + 3*t^4.58 + t^4.6 + 2*t^4.68 + 2*t^4.69 + 2*t^4.7 + t^4.78 + 2*t^4.79 + 3*t^4.8 + t^4.81 + 2*t^4.91 + t^5.01 + 3*t^5.79 + 2*t^5.9 - 4*t^6. - t^4.2/y - t^4.2*y | detail |