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 |
---|---|---|---|---|---|---|---|---|---|
48119 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_4^2$ + $ M_2M_3$ | 0.7017 | 0.8608 | 0.8152 | [X:[], M:[0.8792, 0.9396, 1.0604, 1.0, 1.0], q:[0.5604, 0.5604], qb:[0.5, 0.4396], phi:[0.4849]] | [X:[], M:[[8], [4], [-4], [0], [0]], q:[[-4], [-4]], qb:[[0], [4]], phi:[[1]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_2$, $ \phi_1^2$, $ M_4$, $ M_5$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_2$, $ M_1\phi_1^2$, $ M_2^2$, $ M_1M_4$, $ M_1M_5$, $ M_2\phi_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_2M_5$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_5\phi_1^2$ | $M_4M_5$, $ M_2q_2\tilde{q}_1$ | t^2.64 + t^2.82 + t^2.91 + 2*t^3. + 2*t^3.18 + t^4.09 + t^4.27 + 3*t^4.45 + 2*t^4.64 + 3*t^4.82 + t^5.28 + t^5.46 + t^5.55 + t^5.64 + t^5.73 + 2*t^5.82 + 2*t^5.91 - t^6. + 2*t^6.09 + t^6.36 + t^6.73 + 2*t^6.91 + t^7. + 4*t^7.09 + 4*t^7.27 + 2*t^7.36 + 5*t^7.45 - t^7.55 + 5*t^7.64 + t^7.73 + 5*t^7.82 - 2*t^7.91 + 4*t^8. + t^8.09 + 2*t^8.18 + t^8.28 + 2*t^8.37 + t^8.46 + 4*t^8.55 - 2*t^8.64 + 5*t^8.73 - 4*t^8.82 + 5*t^8.91 - t^4.45/y - t^7.09/y - t^7.36/y + t^7.55/y + t^7.82/y + t^8.46/y + t^8.55/y + (2*t^8.64)/y + t^8.73/y + (4*t^8.82)/y + (2*t^8.91)/y - t^4.45*y - t^7.09*y - t^7.36*y + t^7.55*y + t^7.82*y + t^8.46*y + t^8.55*y + 2*t^8.64*y + t^8.73*y + 4*t^8.82*y + 2*t^8.91*y | g1^8*t^2.64 + g1^4*t^2.82 + g1^2*t^2.91 + 2*t^3. + (2*t^3.18)/g1^4 + g1^9*t^4.09 + g1^5*t^4.27 + 3*g1*t^4.45 + (2*t^4.64)/g1^3 + (3*t^4.82)/g1^7 + g1^16*t^5.28 + g1^12*t^5.46 + g1^10*t^5.55 + g1^8*t^5.64 + g1^6*t^5.73 + 2*g1^4*t^5.82 + 2*g1^2*t^5.91 - t^6. + (2*t^6.09)/g1^2 + t^6.36/g1^8 + g1^17*t^6.73 + 2*g1^13*t^6.91 + g1^11*t^7. + 4*g1^9*t^7.09 + 4*g1^5*t^7.27 + 2*g1^3*t^7.36 + 5*g1*t^7.45 - t^7.55/g1 + (5*t^7.64)/g1^3 + t^7.73/g1^5 + (5*t^7.82)/g1^7 - (3*t^7.91)/g1^9 + g1^24*t^7.91 + (4*t^8.)/g1^11 + g1^20*t^8.09 + 2*g1^18*t^8.18 + g1^16*t^8.28 + 2*g1^14*t^8.37 + g1^12*t^8.46 + 4*g1^10*t^8.55 - 2*g1^8*t^8.64 + 5*g1^6*t^8.73 - 4*g1^4*t^8.82 + 5*g1^2*t^8.91 - (g1*t^4.45)/y - (g1^9*t^7.09)/y - (g1^3*t^7.36)/y + t^7.55/(g1*y) + t^7.82/(g1^7*y) + (g1^12*t^8.46)/y + (g1^10*t^8.55)/y + (2*g1^8*t^8.64)/y + (g1^6*t^8.73)/y + (4*g1^4*t^8.82)/y + (2*g1^2*t^8.91)/y - g1*t^4.45*y - g1^9*t^7.09*y - g1^3*t^7.36*y + (t^7.55*y)/g1 + (t^7.82*y)/g1^7 + g1^12*t^8.46*y + g1^10*t^8.55*y + 2*g1^8*t^8.64*y + g1^6*t^8.73*y + 4*g1^4*t^8.82*y + 2*g1^2*t^8.91*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 |
---|---|---|---|---|---|---|---|---|
55513 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_4^2$ + $ M_2M_3$ + $ M_2M_6$ | 0.6968 | 0.8524 | 0.8175 | [X:[], M:[0.9112, 0.9556, 1.0444, 1.0, 1.0, 1.0444], q:[0.5444, 0.5444], qb:[0.5, 0.4556], phi:[0.4889]] | t^2.73 + t^2.93 + 2*t^3. + 3*t^3.13 + t^4.2 + t^4.33 + 3*t^4.47 + 2*t^4.6 + 3*t^4.73 + t^5.47 + t^5.67 + t^5.87 + 2*t^5.93 - 3*t^6. - t^4.47/y - t^4.47*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46530 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_4^2$ | 0.7293 | 0.896 | 0.8139 | [X:[], M:[0.8995, 0.7765, 0.877, 1.0, 1.0], q:[0.5503, 0.5503], qb:[0.6733, 0.4497], phi:[0.4441]] | t^2.33 + t^2.63 + t^2.66 + t^2.7 + 2*t^3. + t^3.67 + t^4.03 + 2*t^4.33 + 3*t^4.63 + t^4.66 + t^4.7 + t^4.96 + t^4.99 + 2*t^5. + t^5.03 + t^5.26 + t^5.3 + 3*t^5.33 + t^5.36 + t^5.37 + t^5.4 + 2*t^5.66 - 2*t^6. - t^4.33/y - t^4.33*y | detail |