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 |
|---|---|---|---|---|---|---|---|---|---|
| 818 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6252 | 0.8098 | 0.7721 | [X:[], M:[1.0, 1.0237, 0.9525, 1.0237, 0.7441, 0.7441], q:[0.7559, 0.2441], qb:[0.5237, 0.5237], phi:[0.4881]] | [X:[], M:[[0, 0], [4, 4], [-8, -8], [4, 4], [-5, 3], [3, -5]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ M_1$, $ M_2$, $ M_4$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_6^2$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_5^2$, $ M_6q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_6$, $ M_3M_5$, $ M_1M_6$, $ M_1M_5$, $ M_2M_6$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_5$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_3^2$, $ M_1M_3$, $ M_2M_3$, $ M_3M_4$ | . | -5 | 2*t^2.23 + 2*t^2.3 + t^2.86 + t^3. + 2*t^3.07 + 2*t^3.84 + 3*t^4.46 + 4*t^4.54 + 6*t^4.61 + 2*t^5.09 + 2*t^5.23 + 6*t^5.3 + 4*t^5.37 + t^5.72 + t^5.86 + t^5.93 - 5*t^6. + 5*t^6.07 + 6*t^6.14 - 2*t^6.63 + 4*t^6.7 + 2*t^6.77 + 10*t^6.84 + 12*t^6.91 + 3*t^7.32 + t^7.46 + 5*t^7.54 + 10*t^7.61 + 12*t^7.68 + 2*t^7.95 + 2*t^8.09 + 2*t^8.16 - 12*t^8.23 - 4*t^8.3 + 10*t^8.37 + 14*t^8.45 + t^8.57 + t^8.72 + t^8.79 - 6*t^8.86 + 5*t^8.93 - t^4.46/y - (2*t^6.7)/y - t^7.32/y + t^7.39/y + t^7.46/y + (3*t^7.54)/y + (2*t^7.61)/y + (2*t^8.09)/y + (2*t^8.16)/y + (4*t^8.23)/y + (6*t^8.3)/y + (4*t^8.37)/y + t^8.86/y - t^8.93/y - t^4.46*y - 2*t^6.7*y - t^7.32*y + t^7.39*y + t^7.46*y + 3*t^7.54*y + 2*t^7.61*y + 2*t^8.09*y + 2*t^8.16*y + 4*t^8.23*y + 6*t^8.3*y + 4*t^8.37*y + t^8.86*y - t^8.93*y | (g1^3*t^2.23)/g2^5 + (g2^3*t^2.23)/g1^5 + (g1^7*t^2.3)/g2 + (g2^7*t^2.3)/g1 + t^2.86/(g1^8*g2^8) + t^3. + 2*g1^4*g2^4*t^3.07 + g1^9*g2*t^3.84 + g1*g2^9*t^3.84 + (g1^6*t^4.46)/g2^10 + t^4.46/(g1^2*g2^2) + (g2^6*t^4.46)/g1^10 + (g1^10*t^4.54)/g2^6 + 2*g1^2*g2^2*t^4.54 + (g2^10*t^4.54)/g1^6 + (2*g1^14*t^4.61)/g2^2 + 2*g1^6*g2^6*t^4.61 + (2*g2^14*t^4.61)/g1^2 + t^5.09/(g1^5*g2^13) + t^5.09/(g1^13*g2^5) + (g1^3*t^5.23)/g2^5 + (g2^3*t^5.23)/g1^5 + (3*g1^7*t^5.3)/g2 + (3*g2^7*t^5.3)/g1 + 2*g1^11*g2^3*t^5.37 + 2*g1^3*g2^11*t^5.37 + t^5.72/(g1^16*g2^16) + t^5.86/(g1^8*g2^8) + t^5.93/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.07)/g2^4 + 3*g1^4*g2^4*t^6.07 + (g2^12*t^6.07)/g1^4 + g1^16*t^6.14 + 4*g1^8*g2^8*t^6.14 + g2^16*t^6.14 - t^6.63/(g1^3*g2^11) - t^6.63/(g1^11*g2^3) + (g1^9*t^6.7)/g2^15 + (g1*t^6.7)/g2^7 + (g2*t^6.7)/g1^7 + (g2^9*t^6.7)/g1^15 + (g1^13*t^6.77)/g2^11 + (g2^13*t^6.77)/g1^11 + (2*g1^17*t^6.84)/g2^7 + 3*g1^9*g2*t^6.84 + 3*g1*g2^9*t^6.84 + (2*g2^17*t^6.84)/g1^7 + (2*g1^21*t^6.91)/g2^3 + 4*g1^13*g2^5*t^6.91 + 4*g1^5*g2^13*t^6.91 + (2*g2^21*t^6.91)/g1^3 + t^7.32/(g1^2*g2^18) + t^7.32/(g1^10*g2^10) + t^7.32/(g1^18*g2^2) + (g1^6*t^7.46)/g2^10 - t^7.46/(g1^2*g2^2) + (g2^6*t^7.46)/g1^10 + (2*g1^10*t^7.54)/g2^6 + g1^2*g2^2*t^7.54 + (2*g2^10*t^7.54)/g1^6 + (3*g1^14*t^7.61)/g2^2 + 4*g1^6*g2^6*t^7.61 + (3*g2^14*t^7.61)/g1^2 + 4*g1^18*g2^2*t^7.68 + 4*g1^10*g2^10*t^7.68 + 4*g1^2*g2^18*t^7.68 + t^7.95/(g1^13*g2^21) + t^7.95/(g1^21*g2^13) + t^8.09/(g1^5*g2^13) + t^8.09/(g1^13*g2^5) + t^8.16/(g1*g2^9) + t^8.16/(g1^9*g2) - (g1^11*t^8.23)/g2^13 - (5*g1^3*t^8.23)/g2^5 - (5*g2^3*t^8.23)/g1^5 - (g2^11*t^8.23)/g1^13 - (2*g1^7*t^8.3)/g2 - (2*g2^7*t^8.3)/g1 + (g1^19*t^8.37)/g2^5 + 4*g1^11*g2^3*t^8.37 + 4*g1^3*g2^11*t^8.37 + (g2^19*t^8.37)/g1^5 + (2*g1^23*t^8.45)/g2 + 5*g1^15*g2^7*t^8.45 + 5*g1^7*g2^15*t^8.45 + (2*g2^23*t^8.45)/g1 + t^8.57/(g1^24*g2^24) + t^8.72/(g1^16*g2^16) + t^8.79/(g1^12*g2^12) - t^8.86/g1^16 - t^8.86/g2^16 - (4*t^8.86)/(g1^8*g2^8) + (g1^12*t^8.93)/g2^20 + (g1^4*t^8.93)/g2^12 + t^8.93/(g1^4*g2^4) + (g2^4*t^8.93)/g1^12 + (g2^12*t^8.93)/g1^20 - t^4.46/(g1^2*g2^2*y) - (g1*t^6.7)/(g2^7*y) - (g2*t^6.7)/(g1^7*y) - t^7.32/(g1^10*g2^10*y) + t^7.39/(g1^6*g2^6*y) + t^7.46/(g1^2*g2^2*y) + (g1^10*t^7.54)/(g2^6*y) + (g1^2*g2^2*t^7.54)/y + (g2^10*t^7.54)/(g1^6*y) + (2*g1^6*g2^6*t^7.61)/y + t^8.09/(g1^5*g2^13*y) + t^8.09/(g1^13*g2^5*y) + t^8.16/(g1*g2^9*y) + t^8.16/(g1^9*g2*y) + (2*g1^3*t^8.23)/(g2^5*y) + (2*g2^3*t^8.23)/(g1^5*y) + (3*g1^7*t^8.3)/(g2*y) + (3*g2^7*t^8.3)/(g1*y) + (2*g1^11*g2^3*t^8.37)/y + (2*g1^3*g2^11*t^8.37)/y + t^8.86/(g1^8*g2^8*y) - (g1^4*t^8.93)/(g2^12*y) + t^8.93/(g1^4*g2^4*y) - (g2^4*t^8.93)/(g1^12*y) - (t^4.46*y)/(g1^2*g2^2) - (g1*t^6.7*y)/g2^7 - (g2*t^6.7*y)/g1^7 - (t^7.32*y)/(g1^10*g2^10) + (t^7.39*y)/(g1^6*g2^6) + (t^7.46*y)/(g1^2*g2^2) + (g1^10*t^7.54*y)/g2^6 + g1^2*g2^2*t^7.54*y + (g2^10*t^7.54*y)/g1^6 + 2*g1^6*g2^6*t^7.61*y + (t^8.09*y)/(g1^5*g2^13) + (t^8.09*y)/(g1^13*g2^5) + (t^8.16*y)/(g1*g2^9) + (t^8.16*y)/(g1^9*g2) + (2*g1^3*t^8.23*y)/g2^5 + (2*g2^3*t^8.23*y)/g1^5 + (3*g1^7*t^8.3*y)/g2 + (3*g2^7*t^8.3*y)/g1 + 2*g1^11*g2^3*t^8.37*y + 2*g1^3*g2^11*t^8.37*y + (t^8.86*y)/(g1^8*g2^8) - (g1^4*t^8.93*y)/g2^12 + (t^8.93*y)/(g1^4*g2^4) - (g2^4*t^8.93*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2012 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6455 | 0.8475 | 0.7616 | [X:[], M:[1.0, 1.0299, 0.9402, 1.0299, 0.7372, 0.7478, 0.7073], q:[0.7575, 0.2425], qb:[0.5352, 0.5246], phi:[0.4851]] | t^2.12 + t^2.21 + t^2.24 + t^2.3 + t^2.33 + t^2.82 + t^3. + 2*t^3.09 + t^3.85 + t^4.24 + t^4.33 + t^4.37 + 2*t^4.42 + 2*t^4.46 + t^4.49 + t^4.51 + 2*t^4.54 + t^4.58 + 2*t^4.6 + 2*t^4.63 + 2*t^4.67 + t^4.94 + t^5.03 + t^5.06 + t^5.12 + 3*t^5.21 + t^5.24 + 3*t^5.3 + 3*t^5.33 + 2*t^5.39 + 2*t^5.42 + t^5.64 + t^5.82 + t^5.91 - 3*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 523 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6062 | 0.7757 | 0.7814 | [X:[], M:[1.0, 1.0213, 0.9573, 1.0213, 0.7341], q:[0.7553, 0.2447], qb:[0.5319, 0.5108], phi:[0.4893]] | t^2.2 + t^2.27 + t^2.33 + t^2.87 + t^3. + 2*t^3.06 + t^3.73 + t^3.8 + t^3.86 + t^4.4 + t^4.47 + 3*t^4.53 + 2*t^4.6 + 2*t^4.66 + t^5.07 + t^5.2 + 3*t^5.27 + 3*t^5.33 + 2*t^5.39 + t^5.74 + t^5.87 + t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail |