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 |
---|---|---|---|---|---|---|---|---|---|
8401 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{3}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}^{4}$ + ${ }\phi_{1}q_{2}^{2}X_{2}$ + ${ }q_{1}q_{2}X_{3}$ | 0.8534 | 0.9506 | 0.8977 | [X:[1.5556, 1.5556, 1.3333], M:[1.1111], q:[0.5556, 0.1111], qb:[], phi:[0.2222]] | [X:[[0], [0], [0]], M:[[0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 553/648, c: 77/81, X1: 14/9, X2: 14/9, X3: 4/3, M1: 10/9, q1: 5/9, q2: 1/9, phi1: 2/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }X_{3}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}^{8}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}^{7}q_{2}^{2}$, ${ }\phi_{1}^{6}q_{2}^{4}$ | ${}\phi_{1}^{6}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{5}q_{1}q_{2}^{3}$ | 0 | 2*t^2.67 + 2*t^3.33 + 3*t^4. + t^4.67 + 3*t^5.33 + 6*t^6.67 + 4*t^7.33 + 8*t^8. + t^8.67/y^2 - t^3.67/y - t^5./y - t^6.33/y - t^7./y - (3*t^7.67)/y - t^3.67*y - t^5.*y - t^6.33*y - t^7.*y - 3*t^7.67*y + t^8.67*y^2 | 2*t^2.67 + 2*t^3.33 + 3*t^4. + t^4.67 + 3*t^5.33 + 6*t^6.67 + 4*t^7.33 + 8*t^8. + t^8.67/y^2 - t^3.67/y - t^5./y - t^6.33/y - t^7./y - (3*t^7.67)/y - t^3.67*y - t^5.*y - t^6.33*y - t^7.*y - 3*t^7.67*y + t^8.67*y^2 |
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 |
---|---|---|---|---|---|---|---|---|
8546 | ${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{3}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}^{4}$ + ${ }\phi_{1}q_{2}^{2}X_{2}$ + ${ }q_{1}q_{2}X_{3}$ + ${ }M_{2}\phi_{1}^{4}$ | 0.8434 | 0.9336 | 0.9033 | [X:[1.5556, 1.5556, 1.3333], M:[1.1111, 1.1111], q:[0.5556, 0.1111], qb:[], phi:[0.2222]] | t^2.67 + 3*t^3.33 + 3*t^4. + t^4.67 + t^5.33 - t^6. - t^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail | {a: 1093/1296, c: 605/648, X1: 14/9, X2: 14/9, X3: 4/3, M1: 10/9, M2: 10/9, q1: 5/9, q2: 1/9, phi1: 2/9} |
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 |
---|
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.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
8197 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{3}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}q_{2}$ | 1.1667 | 1.2917 | 0.9032 | [X:[1.6363], M:[0.9092], q:[0.4546, 0.4544], qb:[], phi:[0.1818]] | t^2.18 + 2*t^2.73 + 2*t^3.27 + t^3.82 + 4*t^4.36 + 3*t^4.91 + 3*t^5.45 + 2*t^5.46 + t^6. - t^3.55/y - t^4.64/y - t^5.73/y - t^3.55*y - t^4.64*y - t^5.73*y | detail |