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$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =





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.

#TheorySuperpotentialCentral charge $a$Central charge $c$Ratio $a/c$Matter field: $R$-chargeU(1) part of $F_{UV}$Rank of $F_{UV}$Rational
51977 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_1M_2$ 0.6758 0.8309 0.8133 [X:[], M:[1.037, 0.963, 1.1111, 0.8889, 0.7407], q:[0.5556, 0.4074], qb:[0.4815, 0.7778], phi:[0.4444]] [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] 0 {a: 23647/34992, c: 14537/17496, M1: 28/27, M2: 26/27, M3: 10/9, M4: 8/9, M5: 20/27, q1: 5/9, q2: 11/27, qb1: 13/27, qb2: 7/9, phi1: 4/9}
Relevant OperatorsMarginal Operators$n_{marginal}$$-$$|F_{IR}|$Superconformal IndexRefined index
$M_5$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_2M_5$, $ M_4^2$, $ M_1M_5$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_2^2$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_5q_2\tilde{q}_2$ . -1 t^2.22 + 2*t^2.67 + t^2.89 + t^3.11 + t^3.56 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + t^4.67 + 2*t^4.89 + t^5.11 + 4*t^5.33 + t^5.56 + 2*t^5.78 - t^6. + 2*t^6.22 + 3*t^6.44 + 5*t^6.67 + 5*t^6.89 + 4*t^7.11 + 3*t^7.33 + 4*t^7.56 + 2*t^7.78 + 8*t^8. + 2*t^8.22 + 4*t^8.44 + 3*t^8.89 - t^4.33/y - t^6.56/y - t^7./y + t^7.67/y + (2*t^7.89)/y + (2*t^8.11)/y + (2*t^8.33)/y + (2*t^8.56)/y + (2*t^8.78)/y - t^4.33*y - t^6.56*y - t^7.*y + t^7.67*y + 2*t^7.89*y + 2*t^8.11*y + 2*t^8.33*y + 2*t^8.56*y + 2*t^8.78*y t^2.22 + 2*t^2.67 + t^2.89 + t^3.11 + t^3.56 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + t^4.67 + 2*t^4.89 + t^5.11 + 4*t^5.33 + t^5.56 + 2*t^5.78 - t^6. + 2*t^6.22 + 3*t^6.44 + 5*t^6.67 + 5*t^6.89 + 4*t^7.11 + 3*t^7.33 + 4*t^7.56 + 2*t^7.78 + 8*t^8. + 2*t^8.22 + 4*t^8.44 + 3*t^8.89 - t^4.33/y - t^6.56/y - t^7./y + t^7.67/y + (2*t^7.89)/y + (2*t^8.11)/y + (2*t^8.33)/y + (2*t^8.56)/y + (2*t^8.78)/y - t^4.33*y - t^6.56*y - t^7.*y + t^7.67*y + 2*t^7.89*y + 2*t^8.11*y + 2*t^8.33*y + 2*t^8.56*y + 2*t^8.78*y


Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#SuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
56378 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_1M_2$ + $ M_1M_6$ 0.6792 0.8366 0.8119 [X:[], M:[1.037, 0.963, 1.1111, 0.8889, 0.7407, 0.963], q:[0.5556, 0.4074], qb:[0.4815, 0.7778], phi:[0.4444]] t^2.22 + 2*t^2.67 + 2*t^2.89 + t^3.56 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + t^4.67 + 2*t^4.89 + 2*t^5.11 + 3*t^5.33 + 3*t^5.56 + 2*t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y detail {a: 2971/4374, c: 7319/8748, M1: 28/27, M2: 26/27, M3: 10/9, M4: 8/9, M5: 20/27, M6: 26/27, q1: 5/9, q2: 11/27, qb1: 13/27, qb2: 7/9, phi1: 4/9}
56376 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_1M_2$ + $ M_5M_6$ 0.6564 0.7953 0.8254 [X:[], M:[1.037, 0.963, 1.1111, 0.8889, 0.7407, 1.2593], q:[0.5556, 0.4074], qb:[0.4815, 0.7778], phi:[0.4444]] 2*t^2.67 + t^2.89 + t^3.11 + t^3.56 + 2*t^3.78 + 2*t^4. + 2*t^4.22 + t^4.44 + t^4.67 + 3*t^5.33 + t^5.56 + t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y detail {a: 319/486, c: 773/972, M1: 28/27, M2: 26/27, M3: 10/9, M4: 8/9, M5: 20/27, M6: 34/27, q1: 5/9, q2: 11/27, qb1: 13/27, qb2: 7/9, phi1: 4/9}
56380 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_1M_2$ + $ M_6q_2\tilde{q}_2$ 0.6914 0.858 0.8058 [X:[], M:[1.037, 0.963, 1.1111, 0.8889, 0.7407, 0.8148], q:[0.5556, 0.4074], qb:[0.4815, 0.7778], phi:[0.4444]] t^2.22 + t^2.44 + 2*t^2.67 + t^2.89 + t^3.11 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + 2*t^4.67 + 3*t^4.89 + 3*t^5.11 + 5*t^5.33 + 2*t^5.56 + t^5.78 - t^6. - t^4.33/y - t^4.33*y detail {a: 56/81, c: 139/162, M1: 28/27, M2: 26/27, M3: 10/9, M4: 8/9, M5: 20/27, M6: 22/27, q1: 5/9, q2: 11/27, qb1: 13/27, qb2: 7/9, phi1: 4/9}
56382 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_1M_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ 0.6952 0.8665 0.8023 [X:[], M:[1.037, 0.963, 1.1111, 0.8889, 0.7407, 0.7407], q:[0.5556, 0.4074], qb:[0.4815, 0.7778], phi:[0.4444]] 2*t^2.22 + 2*t^2.67 + t^2.89 + t^3.11 + t^3.56 + 2*t^4. + 2*t^4.22 + 4*t^4.44 + t^4.67 + 4*t^4.89 + 2*t^5.11 + 5*t^5.33 + t^5.56 + 3*t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y detail {a: 12163/17496, c: 1895/2187, M1: 28/27, M2: 26/27, M3: 10/9, M4: 8/9, M5: 20/27, M6: 20/27, q1: 5/9, q2: 11/27, qb1: 13/27, qb2: 7/9, phi1: 4/9}


Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore 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.

#TheorySuperpotentialCentral Charge $a$ Central Charge $c$ Ratio $a/c$$R$-chargesSuperconformal IndexMore Info.Rational
48278 SU2adj1nf2 $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ 0.6779 0.8345 0.8124 [X:[], M:[0.9891, 0.93, 1.1291, 0.8709, 0.7527], q:[0.605, 0.4059], qb:[0.465, 0.7823], phi:[0.4355]] t^2.26 + 2*t^2.61 + t^2.79 + t^2.97 + t^3.56 + t^3.74 + t^3.92 + t^4.1 + t^4.16 + t^4.34 + 2*t^4.52 + 2*t^4.87 + t^4.94 + t^5.05 + 4*t^5.23 + t^5.4 + 2*t^5.58 + t^5.76 + t^5.93 - 2*t^6. - t^4.31/y - t^4.31*y detail