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 |
---|---|---|---|---|---|---|---|---|---|
303 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_2X_1$ | 0.588 | 0.713 | 0.8247 | [X:[1.3696], M:[1.0, 0.6304, 0.8478], q:[0.6087, 1.0217], qb:[0.3913, 0.5], phi:[0.3696]] | [X:[[1]], M:[[0], [-1], [5]], q:[[3], [-4]], qb:[[-3], [0]], phi:[[1]]] | 1 | {a: 1731/2944, c: 2099/2944, X1: 63/46, M1: 1, M2: 29/46, M3: 39/46, q1: 14/23, q2: 47/46, qb1: 9/23, qb2: 1/2, phi1: 17/46} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ q_2\tilde{q}_1$, $ \phi_1^4$, $ q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_1\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_3$, $ M_3q_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.22 + t^2.54 + t^2.67 + t^3. + t^3.33 + t^3.78 + t^4.11 + t^4.24 + t^4.43 + t^4.57 + t^4.76 + 2*t^4.89 + t^5.09 + t^5.22 + t^5.35 + t^5.54 + t^5.87 + t^6.33 + t^6.46 + 2*t^6.65 + t^6.78 + t^6.91 + t^6.98 + 2*t^7.11 + t^7.24 + t^7.3 + 2*t^7.43 + t^7.57 + t^7.63 + t^7.76 + t^8.02 + t^8.09 + t^8.41 + t^8.48 - t^8.54 - t^8.67 + t^8.8 + 2*t^8.87 - t^4.11/y - t^6.33/y - t^6.65/y + t^7.57/y + t^7.76/y + (2*t^7.89)/y + (2*t^8.22)/y + t^8.54/y + t^8.67/y - t^4.11*y - t^6.33*y - t^6.65*y + t^7.57*y + t^7.76*y + 2*t^7.89*y + 2*t^8.22*y + t^8.54*y + t^8.67*y | g1^2*t^2.22 + g1^5*t^2.54 + t^2.67/g1^3 + t^3. + g1^3*t^3.33 + t^3.78/g1^2 + g1*t^4.11 + t^4.24/g1^7 + g1^4*t^4.43 + t^4.57/g1^4 + g1^7*t^4.76 + (2*t^4.89)/g1 + g1^10*t^5.09 + g1^2*t^5.22 + t^5.35/g1^6 + g1^5*t^5.54 + g1^8*t^5.87 + g1^3*t^6.33 + t^6.46/g1^5 + 2*g1^6*t^6.65 + t^6.78/g1^2 + t^6.91/g1^10 + g1^9*t^6.98 + 2*g1*t^7.11 + t^7.24/g1^7 + g1^12*t^7.3 + 2*g1^4*t^7.43 + t^7.57/g1^4 + g1^15*t^7.63 + g1^7*t^7.76 + t^8.02/g1^9 + g1^10*t^8.09 + g1^13*t^8.41 + t^8.48/g1^14 - g1^5*t^8.54 - t^8.67/g1^3 + t^8.8/g1^11 + 2*g1^8*t^8.87 - (g1*t^4.11)/y - (g1^3*t^6.33)/y - (g1^6*t^6.65)/y + t^7.57/(g1^4*y) + (g1^7*t^7.76)/y + (2*t^7.89)/(g1*y) + (2*g1^2*t^8.22)/y + (g1^5*t^8.54)/y + t^8.67/(g1^3*y) - g1*t^4.11*y - g1^3*t^6.33*y - g1^6*t^6.65*y + (t^7.57*y)/g1^4 + g1^7*t^7.76*y + (2*t^7.89*y)/g1 + 2*g1^2*t^8.22*y + g1^5*t^8.54*y + (t^8.67*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
477 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_2X_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6075 | 0.749 | 0.8111 | [X:[1.3678], M:[1.0, 0.6322, 0.8389, 0.7355], q:[0.6033, 1.0289], qb:[0.3967, 0.5], phi:[0.3678]] | 2*t^2.21 + t^2.52 + t^2.69 + t^3. + t^3.31 + t^4.1 + t^4.28 + 3*t^4.41 + t^4.59 + 2*t^4.72 + 3*t^4.9 + t^5.03 + 2*t^5.21 + t^5.38 + 2*t^5.52 + t^5.83 - t^6. - t^4.1/y - t^4.1*y | detail | |
1770 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_2X_1$ + $ M_4q_1\tilde{q}_2$ | 0.5986 | 0.7315 | 0.8183 | [X:[1.3758], M:[1.0, 0.6242, 0.8788, 0.8727], q:[0.6273, 0.997], qb:[0.3727, 0.5], phi:[0.3758]] | t^2.25 + 2*t^2.62 + t^2.64 + t^3. + t^3.75 + t^4.11 + t^4.13 + t^4.49 + t^4.51 + 3*t^4.87 + t^4.89 + 3*t^5.24 + 2*t^5.25 + t^5.27 + t^5.62 - t^6. - t^4.13/y - t^4.13*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 |
---|---|---|---|---|---|---|---|---|---|
192 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1^2$ | 0.6107 | 0.7595 | 0.8041 | [X:[], M:[1.0, 0.6889, 0.8353], q:[0.6082, 1.0108], qb:[0.3918, 0.465], phi:[0.381]] | t^2.07 + t^2.29 + t^2.51 + t^2.57 + t^3. + t^3.22 + t^3.71 + t^4.13 + t^4.21 + t^4.35 + t^4.43 + 2*t^4.57 + t^4.64 + t^4.79 + 2*t^4.86 + t^5.01 + t^5.07 + t^5.08 + t^5.14 + t^5.29 + t^5.51 + t^5.57 + t^5.73 + t^5.79 - t^6. - t^4.14/y - t^4.14*y | detail |