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 |
---|---|---|---|---|---|---|---|---|---|
79670 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }S_{2}^{2}$ + ${ }S_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}^{2}S_{1}^{3}$ + ${ }M_{3}q_{2}^{2}S_{1}^{3}$ | 1.0195 | 1.207 | 0.8447 | [X:[1.5], M:[1.5, 0.75, 0.75], q:[0.25, 0.25], qb:[], phi:[], S:[0.25, 1.0], Sb:[], A:[], Ab:[]] | [X:[[0]], M:[[0], [2], [-2]], q:[[-1], [1]], qb:[], phi:[], S:[[0], [0]], Sb:[], A:[], Ab:[]] | 1 | {a: 261/256, c: 309/256, X1: 3/2, M1: 3/2, M2: 3/4, M3: 3/4, q1: 1/4, q2: 1/4, S1: 1/4, S2: 1} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }M_{3}$, ${ }q_{1}^{2}S_{1}$, ${ }M_{2}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}^{2}$, ${ }S_{1}^{4}$, ${ }q_{1}q_{2}S_{1}^{3}$, ${ }M_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}q_{1}^{2}S_{1}$, ${ }M_{3}q_{1}^{2}S_{1}$, ${ }M_{2}q_{1}q_{2}S_{1}$, ${ }M_{3}q_{1}q_{2}S_{1}$, ${ }M_{2}q_{2}^{2}S_{1}$, ${ }M_{3}q_{2}^{2}S_{1}$, ${ }q_{1}^{4}S_{1}^{2}$, ${ }q_{1}^{3}q_{2}S_{1}^{2}$, ${ }q_{1}^{2}q_{2}^{2}S_{1}^{2}$, ${ }q_{1}q_{2}^{3}S_{1}^{2}$, ${ }q_{2}^{4}S_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{1}^{2}S_{1}$, ${ }q_{1}^{4}S_{1}^{2}$, ${ }M_{3}q_{1}q_{2}S_{1}$, ${ }q_{1}^{3}q_{2}S_{1}^{2}$, ${ }M_{2}q_{1}q_{2}S_{1}$, ${ }q_{1}q_{2}^{3}S_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}^{2}S_{1}$, ${ }q_{2}^{4}S_{1}^{2}$, ${ }M_{2}q_{1}q_{2}S_{1}^{2}$, ${ }M_{3}q_{1}q_{2}S_{1}^{2}$, ${ }q_{1}^{3}q_{2}S_{1}^{3}$, ${ }q_{1}^{2}q_{2}^{2}S_{1}^{3}$, ${ }q_{1}q_{2}^{3}S_{1}^{3}$, ${ }M_{2}S_{1}^{4}$, ${ }M_{3}S_{1}^{4}$, ${ }q_{1}^{2}S_{1}^{5}$, ${ }q_{1}q_{2}S_{1}^{5}$, ${ }q_{2}^{2}S_{1}^{5}$, ${ }M_{3}q_{1}q_{2}S_{1}^{2}$, ${ }q_{1}^{3}q_{2}S_{1}^{3}$, ${ }M_{3}S_{1}^{4}$, ${ }q_{1}^{2}S_{1}^{5}$, ${ }M_{2}q_{1}q_{2}S_{1}^{2}$, ${ }q_{1}q_{2}^{3}S_{1}^{3}$, ${ }M_{2}S_{1}^{4}$, ${ }q_{2}^{2}S_{1}^{5}$ | ${}M_{2}q_{1}q_{2}S_{1}^{3}$, ${ }M_{3}q_{1}q_{2}S_{1}^{3}$, ${ }q_{1}^{3}q_{2}S_{1}^{4}$, ${ }q_{1}^{2}q_{2}^{2}S_{1}^{4}$, ${ }q_{1}q_{2}^{3}S_{1}^{4}$, ${ }q_{1}q_{2}S_{1}^{6}$, ${ }S_{1}^{8}$ | 3 | 5*t^2.25 + 2*t^3. + t^3.75 + 17*t^4.5 + 10*t^5.25 + 3*t^6. + 41*t^6.75 + 30*t^7.5 + t^8.25 - t^3.75/y - t^5.25/y - (5*t^6.)/y - t^6.75/y + (7*t^7.5)/y - (6*t^8.25)/y - t^3.75*y - t^5.25*y - 5*t^6.*y - t^6.75*y + 7*t^7.5*y - 6*t^8.25*y | t^2.25 + (2*t^2.25)/g1^2 + 2*g1^2*t^2.25 + 2*t^3. + t^3.75 + 7*t^4.5 + (3*t^4.5)/g1^4 + (2*t^4.5)/g1^2 + 2*g1^2*t^4.5 + 3*g1^4*t^4.5 + 2*t^5.25 + (4*t^5.25)/g1^2 + 4*g1^2*t^5.25 + t^6. + t^6./g1^2 + g1^2*t^6. + 7*t^6.75 + (4*t^6.75)/g1^6 + (3*t^6.75)/g1^4 + (10*t^6.75)/g1^2 + 10*g1^2*t^6.75 + 3*g1^4*t^6.75 + 4*g1^6*t^6.75 + 12*t^7.5 + (6*t^7.5)/g1^4 + (3*t^7.5)/g1^2 + 3*g1^2*t^7.5 + 6*g1^4*t^7.5 + t^8.25 + t^8.25/g1^4 - t^8.25/g1^2 - g1^2*t^8.25 + g1^4*t^8.25 - t^3.75/y - t^5.25/y - t^6./y - (2*t^6.)/(g1^2*y) - (2*g1^2*t^6.)/y - t^6.75/y + (3*t^7.5)/y + t^7.5/(g1^4*y) + t^7.5/(g1^2*y) + (g1^2*t^7.5)/y + (g1^4*t^7.5)/y - (4*t^8.25)/y - (3*t^8.25)/(g1^4*y) + (2*t^8.25)/(g1^2*y) + (2*g1^2*t^8.25)/y - (3*g1^4*t^8.25)/y - t^3.75*y - t^5.25*y - t^6.*y - (2*t^6.*y)/g1^2 - 2*g1^2*t^6.*y - t^6.75*y + 3*t^7.5*y + (t^7.5*y)/g1^4 + (t^7.5*y)/g1^2 + g1^2*t^7.5*y + g1^4*t^7.5*y - 4*t^8.25*y - (3*t^8.25*y)/g1^4 + (2*t^8.25*y)/g1^2 + 2*g1^2*t^8.25*y - 3*g1^4*t^8.25*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
8459 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{8}$ + ${ }q_{1}q_{2}X_{2}$ + ${ }M_{1}\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{3}q_{2}^{2}$ | 1.0195 | 1.207 | 0.8447 | [X:[1.5, 1.5], M:[0.75, 0.75], q:[0.25, 0.25], qb:[], phi:[0.25]] | 5*t^2.25 + 2*t^3. + t^3.75 + 17*t^4.5 + 10*t^5.25 + 3*t^6. - t^3.75/y - t^5.25/y - (5*t^6.)/y - t^3.75*y - t^5.25*y - 5*t^6.*y | detail | {a: 261/256, c: 309/256, X1: 3/2, X2: 3/2, M1: 3/4, M2: 3/4, q1: 1/4, q2: 1/4, phi1: 1/4} |
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 |
---|---|---|---|---|---|---|---|---|---|
79606 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }S_{2}^{2}$ + ${ }S_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}^{2}S_{1}$ | 0.9628 | 1.1046 | 0.8716 | [X:[1.5], M:[1.5, 1.2307], q:[0.2596, 0.2404], qb:[], phi:[], S:[0.25, 1.0], Sb:[], A:[], Ab:[]] | t^2.192 + t^2.25 + 2*t^3. + 2*t^3.692 + t^3.75 + t^3.808 + t^4.384 + t^4.442 + 3*t^4.5 + 2*t^5.192 + 2*t^5.25 + 2*t^5.884 + 2*t^5.942 + 2*t^6. - t^3.75/y - t^5.25/y - t^5.942/y - t^6./y - t^3.75*y - t^5.25*y - t^5.942*y - t^6.*y | detail | |
79548 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }S_{2}^{2}$ + ${ }S_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}^{2}S_{1}^{3}$ | 1.0008 | 1.1735 | 0.8528 | [X:[1.5], M:[1.5, 0.7362], q:[0.2569, 0.2431], qb:[], phi:[], S:[0.25, 1.0], Sb:[], A:[], Ab:[]] | 2*t^2.208 + t^2.25 + t^2.292 + 2*t^3. + t^3.708 + t^3.75 + 3*t^4.417 + 2*t^4.458 + 5*t^4.5 + t^4.542 + t^4.583 + 4*t^5.208 + 2*t^5.25 + 2*t^5.292 + 2*t^5.917 + 2*t^5.958 + 2*t^6. - t^3.75/y - t^5.25/y - (2*t^5.958)/y - t^6./y - t^3.75*y - t^5.25*y - 2*t^5.958*y - t^6.*y | detail |