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 |
---|---|---|---|---|---|---|---|---|---|
8427 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1q_1^2$ | 1.1575 | 1.2715 | 0.9103 | [X:[1.6434], M:[1.2868, 0.8915, 0.8501], q:[0.4858, 0.4444], qb:[], phi:[0.1783]] | [X:[[0, 2]], M:[[0, 4], [0, -5], [2, -11]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ X_1$, $ M_3^2$, $ M_2M_3$, $ M_3q_1q_2$, $ M_2^2$, $ M_2q_1q_2$, $ q_1^2q_2^2$, $ M_3\phi_1q_2^2$, $ \phi_1q_1q_2^3$ | . | -2 | t^2.55 + t^2.67 + t^2.79 + t^3.2 + 2*t^3.86 + t^4.27 + t^4.4 + t^4.52 + t^4.93 + t^5.1 + t^5.22 + t^5.34 + t^5.35 + t^5.47 + t^5.58 + t^5.75 + t^5.99 - 2*t^6. - t^6.12 + t^6.4 + t^6.41 + t^6.53 + 2*t^6.65 - t^6.66 + t^6.82 + t^6.95 + 3*t^7.06 + t^7.07 + t^7.19 + t^7.31 + t^7.47 + t^7.6 + t^7.65 + 4*t^7.72 - t^7.73 + t^7.78 + t^7.89 + t^7.9 + 2*t^8.02 + 3*t^8.13 + 2*t^8.14 + 2*t^8.26 + t^8.3 + t^8.37 + t^8.38 + 2*t^8.54 - 2*t^8.55 - t^8.67 + t^8.78 - t^8.8 + t^8.95 + t^8.96 + t^8.14/y^2 - t^3.53/y - t^4.6/y - t^6.09/y - t^6.21/y - t^6.33/y - t^6.74/y - t^7.15/y - t^7.28/y - (2*t^7.4)/y - t^7.81/y + t^8.22/y + t^8.34/y - t^8.64/y + t^8.75/y - t^8.76/y - t^8.88/y + t^8.99/y - t^3.53*y - t^4.6*y - t^6.09*y - t^6.21*y - t^6.33*y - t^6.74*y - t^7.15*y - t^7.28*y - 2*t^7.4*y - t^7.81*y + t^8.22*y + t^8.34*y - t^8.64*y + t^8.75*y - t^8.76*y - t^8.88*y + t^8.99*y + t^8.14*y^2 | (g1^2*t^2.55)/g2^11 + t^2.67/g2^5 + g2^6*t^2.79 + (g1^2*t^3.2)/g2 + 2*g2^4*t^3.86 + (g1^2*t^4.27)/g2^3 + g2^3*t^4.4 + (g2^9*t^4.52)/g1^2 + g2^2*t^4.93 + (g1^4*t^5.1)/g2^22 + (g1^2*t^5.22)/g2^16 + (g1^2*t^5.34)/g2^5 + t^5.35/g2^10 + g2*t^5.47 + g2^12*t^5.58 + (g1^4*t^5.75)/g2^12 + g1^2*g2^5*t^5.99 - 2*t^6. - (g2^6*t^6.12)/g1^2 + (g1^4*t^6.4)/g2^2 + (g1^2*t^6.41)/g2^7 + t^6.53/g2 + 2*g2^10*t^6.65 - (g2^5*t^6.66)/g1^2 + (g1^4*t^6.82)/g2^14 + (g1^2*t^6.95)/g2^8 + 3*g1^2*g2^3*t^7.06 + t^7.07/g2^2 + g2^9*t^7.19 + (g2^15*t^7.31)/g1^2 + (g1^4*t^7.47)/g2^4 + g1^2*g2^2*t^7.6 + (g1^6*t^7.65)/g2^33 + 4*g2^8*t^7.72 - (g2^3*t^7.73)/g1^2 + (g1^4*t^7.78)/g2^27 + (g1^4*t^7.89)/g2^16 + (g1^2*t^7.9)/g2^21 + t^8.02/g2^15 + (g1^2*t^8.02)/g2^10 + 3*g1^2*g2*t^8.13 + (2*t^8.14)/g2^4 + 2*g2^7*t^8.26 + (g1^6*t^8.3)/g2^23 + g2^18*t^8.37 + (g2^13*t^8.38)/g1^2 + (2*g1^4*t^8.54)/g2^6 - (2*g1^2*t^8.55)/g2^11 + g1^2*t^8.67 - (2*t^8.67)/g2^5 + g1^2*g2^11*t^8.78 - (g2*t^8.8)/g1^2 + (g1^6*t^8.95)/g2^13 + (g1^4*t^8.96)/g2^18 + t^8.14/(g2^4*y^2) - t^3.53/(g2*y) - t^4.6/(g2^3*y) - (g1^2*t^6.09)/(g2^12*y) - t^6.21/(g2^6*y) - (g2^5*t^6.33)/y - (g1^2*t^6.74)/(g2^2*y) - (g1^2*t^7.15)/(g2^14*y) - t^7.28/(g2^8*y) - (2*g2^3*t^7.4)/y - (g1^2*t^7.81)/(g2^4*y) + (g1^2*t^8.22)/(g2^16*y) + (g1^2*t^8.34)/(g2^5*y) - (g1^4*t^8.64)/(g2^23*y) + (g1^4*t^8.75)/(g2^12*y) - (g1^2*t^8.76)/(g2^17*y) - t^8.88/(g2^11*y) + (g1^2*g2^5*t^8.99)/y - (t^3.53*y)/g2 - (t^4.6*y)/g2^3 - (g1^2*t^6.09*y)/g2^12 - (t^6.21*y)/g2^6 - g2^5*t^6.33*y - (g1^2*t^6.74*y)/g2^2 - (g1^2*t^7.15*y)/g2^14 - (t^7.28*y)/g2^8 - 2*g2^3*t^7.4*y - (g1^2*t^7.81*y)/g2^4 + (g1^2*t^8.22*y)/g2^16 + (g1^2*t^8.34*y)/g2^5 - (g1^4*t^8.64*y)/g2^23 + (g1^4*t^8.75*y)/g2^12 - (g1^2*t^8.76*y)/g2^17 - (t^8.88*y)/g2^11 + g1^2*g2^5*t^8.99*y + (t^8.14*y^2)/g2^4 |
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 |
---|---|---|---|---|---|---|---|---|
8609 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1q_1^2$ + $ M_2M_3$ | 1.138 | 1.2596 | 0.9035 | [X:[1.6055], M:[1.211, 0.9862, 1.0138], q:[0.3945, 0.4221], qb:[], phi:[0.1972]] | t^2.45 + t^2.96 + t^3.04 + t^3.12 + 2*t^3.63 + t^4.14 + t^4.22 + t^4.31 + t^4.82 + t^4.9 + t^5.41 + t^5.49 + t^5.57 - t^6. - t^3.59/y - t^4.78/y - t^3.59*y - t^4.78*y | detail | |
8608 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1q_1^2$ + $ M_3^2$ | 1.1431 | 1.2587 | 0.9081 | [X:[1.62], M:[1.24, 0.9499, 1.0], q:[0.405, 0.4551], qb:[], phi:[0.19]] | t^2.58 + t^2.85 + t^3. + t^3.3 + 2*t^3.72 + t^4.14 + t^4.29 + t^4.44 + t^4.86 + t^5.16 + t^5.43 + t^5.58 + t^5.7 + t^5.88 - t^6. - t^3.57/y - t^4.71/y - t^3.57*y - t^4.71*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 |
---|---|---|---|---|---|---|---|---|---|
8217 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1q_2$ | 1.147 | 1.2566 | 0.9127 | [X:[1.6328], M:[1.2655, 0.9181], q:[0.4492, 0.4492], qb:[], phi:[0.1836]] | t^2.69 + t^2.75 + 2*t^3.25 + 2*t^3.8 + 3*t^4.35 + t^4.9 + t^5.39 + t^5.45 + t^5.51 + 2*t^5.94 - 2*t^6. - t^3.55/y - t^4.65/y - t^3.55*y - t^4.65*y | detail |