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 |
---|---|---|---|---|---|---|---|---|---|
45232 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_1M_2$ | 1.767 | 1.8567 | 0.9517 | [X:[1.3043], M:[1.1304, 0.8696], q:[0.5217, 0.4348], qb:[], phi:[0.3478]] | [X:[[0]], M:[[0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 343989/194672, c: 180723/97336, X1: 30/23, M1: 26/23, M2: 20/23, q1: 12/23, q2: 10/23, phi1: 8/23} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ q_1q_2$, $ q_1^2$, $ M_1$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_2^2$, $ \phi_1^2q_1^2$, $ M_2q_1q_2$, $ M_2q_1^2$ | $\phi_1^3q_1q_2$ | 1 | t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.65 + 2*t^3.91 + t^4.17 + t^4.7 + t^4.96 + 2*t^5.22 + t^5.48 + t^5.74 + t^6. + 2*t^6.26 + 3*t^6.52 + 3*t^6.78 + 3*t^7.04 + 4*t^7.3 + 5*t^7.57 + 6*t^7.83 + 5*t^8.09 + 3*t^8.35 + 3*t^8.61 + 3*t^8.87 - t^4.04/y - t^5.35/y - t^5.61/y - t^6.13/y - t^6.65/y - t^6.91/y - t^7.17/y - t^7.43/y - t^7.7/y - (2*t^7.96)/y - (3*t^8.22)/y - t^8.74/y - t^4.04*y - t^5.35*y - t^5.61*y - t^6.13*y - t^6.65*y - t^6.91*y - t^7.17*y - t^7.43*y - t^7.7*y - 2*t^7.96*y - 3*t^8.22*y - t^8.74*y | t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.65 + 2*t^3.91 + t^4.17 + t^4.7 + t^4.96 + 2*t^5.22 + t^5.48 + t^5.74 + t^6. + 2*t^6.26 + 3*t^6.52 + 3*t^6.78 + 3*t^7.04 + 4*t^7.3 + 5*t^7.57 + 6*t^7.83 + 5*t^8.09 + 3*t^8.35 + 3*t^8.61 + 3*t^8.87 - t^4.04/y - t^5.35/y - t^5.61/y - t^6.13/y - t^6.65/y - t^6.91/y - t^7.17/y - t^7.43/y - t^7.7/y - (2*t^7.96)/y - (3*t^8.22)/y - t^8.74/y - t^4.04*y - t^5.35*y - t^5.61*y - t^6.13*y - t^6.65*y - t^6.91*y - t^7.17*y - t^7.43*y - t^7.7*y - 2*t^7.96*y - 3*t^8.22*y - t^8.74*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 |
---|---|---|---|---|---|---|---|---|
45409 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_1M_2$ + $ M_1M_3$ | 1.7786 | 1.8764 | 0.9479 | [X:[1.3043], M:[1.1304, 0.8696, 0.8696], q:[0.5217, 0.4348], qb:[], phi:[0.3478]] | 2*t^2.61 + t^2.87 + t^3.13 + t^3.65 + 2*t^3.91 + t^4.17 + t^4.7 + t^4.96 + 4*t^5.22 + 2*t^5.48 + 2*t^5.74 - t^4.04/y - t^5.35/y - t^5.61/y - t^4.04*y - t^5.35*y - t^5.61*y | detail | {a: 43281/24334, c: 91323/48668, X1: 30/23, M1: 26/23, M2: 20/23, M3: 20/23, q1: 12/23, q2: 10/23, phi1: 8/23} |
45326 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_1M_2$ + $ M_2M_3$ | 1.7554 | 1.8369 | 0.9556 | [X:[1.3043], M:[1.1304, 0.8696, 1.1304], q:[0.5217, 0.4348], qb:[], phi:[0.3478]] | t^2.87 + t^3.13 + 2*t^3.39 + t^3.65 + 2*t^3.91 + t^4.17 + t^4.7 + t^4.96 + t^5.22 - t^4.04/y - t^5.35/y - t^5.61/y - t^4.04*y - t^5.35*y - t^5.61*y | detail | {a: 170865/97336, c: 22350/12167, X1: 30/23, M1: 26/23, M2: 20/23, M3: 26/23, q1: 12/23, q2: 10/23, phi1: 8/23} |
45405 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_1M_2$ + $ M_3\phi_1^2q_1$ | 1.7845 | 1.8878 | 0.9453 | [X:[1.3043], M:[1.1304, 0.8696, 0.7826], q:[0.5217, 0.4348], qb:[], phi:[0.3478]] | t^2.35 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + 2*t^3.91 + t^4.17 + 2*t^4.7 + 2*t^4.96 + 3*t^5.22 + 2*t^5.48 + 2*t^5.74 + t^6. - t^4.04/y - t^5.35/y - t^5.61/y - t^4.04*y - t^5.35*y - t^5.61*y | detail | {a: 173697/97336, c: 45937/24334, X1: 30/23, M1: 26/23, M2: 20/23, M3: 18/23, q1: 12/23, q2: 10/23, phi1: 8/23} |
45346 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ + $ M_1M_2$ + $ M_3q_1^2$ | 1.7711 | 1.8635 | 0.9504 | [X:[1.3043], M:[1.1304, 0.8696, 0.9565], q:[0.5217, 0.4348], qb:[], phi:[0.3478]] | t^2.61 + 2*t^2.87 + t^3.39 + t^3.65 + 2*t^3.91 + t^4.17 + t^4.7 + t^4.96 + 2*t^5.22 + 2*t^5.48 + 2*t^5.74 - t^4.04/y - t^5.35/y - t^5.61/y - t^4.04*y - t^5.35*y - t^5.61*y | detail | {a: 172389/97336, c: 90691/48668, X1: 30/23, M1: 26/23, M2: 20/23, M3: 22/23, q1: 12/23, q2: 10/23, phi1: 8/23} |
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 |
---|---|---|---|---|---|---|---|---|---|
45072 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2q_2$ + $ \phi_1^2X_1$ | 1.7773 | 1.871 | 0.9499 | [X:[1.3327], M:[1.003, 0.8342], q:[0.5005, 0.4985], qb:[], phi:[0.3337]] | t^2.5 + 2*t^3. + t^3.01 + t^3.5 + 3*t^4. + t^4.99 + 3*t^5. + t^5.5 + 2*t^5.51 - t^4./y - (2*t^5.5)/y - t^6./y - t^4.*y - 2*t^5.5*y - t^6.*y | detail | |
45043 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2\phi_1^2$ | 1.7632 | 1.8463 | 0.955 | [X:[], M:[1.0184, 1.3293], q:[0.5031, 0.4908], qb:[], phi:[0.3354]] | t^2.98 + t^3.02 + t^3.06 + t^3.48 + t^3.52 + 2*t^3.99 + t^4.02 + t^4.96 + t^4.99 + t^5.03 - t^4.01/y - t^5.48/y - t^5.52/y - t^4.01*y - t^5.48*y - t^5.52*y | detail |