Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
57291	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$	1.1512	1.3023	0.8839	[X:[1.5271], M:[0.7093, 0.7093], q:[0.4089, 0.8818], qb:[0.8818, 0.4089], phi:[0.2364]]	[X:[[0, 0, 2]], M:[[-1, 1, -5], [1, -1, -1]], q:[[0, -1, 5], [-1, 0, 1]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$	${}\phi_{1}^{5}q_{1}\tilde{q}_{2}$	-2	3*t^2.128 + t^2.454 + t^3.163 + t^3.872 + 6*t^4.256 + 4*t^4.581 + t^4.907 + 4*t^5.291 + t^5.616 + 4*t^5.808 - 2*t^6. + 2*t^6.326 + 10*t^6.384 + 8*t^6.709 + 5*t^7.035 + t^7.361 + 6*t^7.419 + 5*t^7.744 + 8*t^7.936 + t^8.07 - 7*t^8.128 + 4*t^8.262 + 2*t^8.454 + 15*t^8.511 - 4*t^8.645 + 2*t^8.779 + 8*t^8.837 + 4*t^8.971 + t^8.128/y^2 - (3*t^8.837)/y^2 - t^3.709/y - t^4.419/y - (3*t^5.837)/y - t^6.163/y - (3*t^6.546)/y - t^6.872/y + (3*t^7.256)/y + (2*t^7.581)/y - (6*t^7.965)/y + (2*t^8.291)/y - (6*t^8.674)/y - t^3.709*y - t^4.419*y - 3*t^5.837*y - t^6.163*y - 3*t^6.546*y - t^6.872*y + 3*t^7.256*y + 2*t^7.581*y - 6*t^7.965*y + 2*t^8.291*y - 6*t^8.674*y + t^8.128*y^2 - 3*t^8.837*y^2	(g2*t^2.128)/(g1*g3^5) + t^2.128/g3^3 + (g1*t^2.128)/(g2*g3) + g3^5*t^2.454 + g3^4*t^3.163 + g3^3*t^3.872 + (g2^2*t^4.256)/(g1^2*g3^10) + (g2*t^4.256)/(g1*g3^8) + (2*t^4.256)/g3^6 + (g1*t^4.256)/(g2*g3^4) + (g1^2*t^4.256)/(g2^2*g3^2) + (g2*t^4.581)/g1 + 2*g3^2*t^4.581 + (g1*g3^4*t^4.581)/g2 + g3^10*t^4.907 + (g2*t^5.291)/(g1*g3) + 2*g3*t^5.291 + (g1*g3^3*t^5.291)/g2 + g3^9*t^5.616 + (g2^3*t^5.808)/g3^3 + (g1*g2^2*t^5.808)/g3 + (g3^10*t^5.808)/(g1*g2^2) + (g3^12*t^5.808)/g2^3 - 2*t^6. + 2*g3^8*t^6.326 + (g2^3*t^6.384)/(g1^3*g3^15) + (g2^2*t^6.384)/(g1^2*g3^13) + (2*g2*t^6.384)/(g1*g3^11) + (2*t^6.384)/g3^9 + (2*g1*t^6.384)/(g2*g3^7) + (g1^2*t^6.384)/(g2^2*g3^5) + (g1^3*t^6.384)/(g2^3*g3^3) + (g2^2*t^6.709)/(g1^2*g3^5) + (2*g2*t^6.709)/(g1*g3^3) + (2*t^6.709)/g3 + (2*g1*g3*t^6.709)/g2 + (g1^2*g3^3*t^6.709)/g2^2 + (g2*g3^5*t^7.035)/g1 + 3*g3^7*t^7.035 + (g1*g3^9*t^7.035)/g2 + g3^15*t^7.361 + (g1*t^7.419)/g2 + (g2^2*t^7.419)/(g1^2*g3^6) + (g2*t^7.419)/(g1*g3^4) + (2*t^7.419)/g3^2 + (g1^2*g3^2*t^7.419)/g2^2 + (g2*g3^4*t^7.744)/g1 + 3*g3^6*t^7.744 + (g1*g3^8*t^7.744)/g2 + (g2^4*t^7.936)/(g1*g3^8) + (g2^3*t^7.936)/g3^6 + (g1*g2^2*t^7.936)/g3^4 + (g1^2*g2*t^7.936)/g3^2 + (g3^5*t^7.936)/(g1^2*g2) + (g3^7*t^7.936)/(g1*g2^2) + (g3^9*t^7.936)/g2^3 + (g1*g3^11*t^7.936)/g2^4 + g3^14*t^8.07 - (3*g2*t^8.128)/(g1*g3^5) - t^8.128/g3^3 - (3*g1*t^8.128)/(g2*g3) + g2^3*g3^2*t^8.262 + g1*g2^2*g3^4*t^8.262 + (g3^15*t^8.262)/(g1*g2^2) + (g3^17*t^8.262)/g2^3 + (g2*g3^3*t^8.454)/g1 + (g1*g3^7*t^8.454)/g2 + (g2^4*t^8.511)/(g1^4*g3^20) + (g2^3*t^8.511)/(g1^3*g3^18) + (2*g2^2*t^8.511)/(g1^2*g3^16) + (2*g2*t^8.511)/(g1*g3^14) + (3*t^8.511)/g3^12 + (2*g1*t^8.511)/(g2*g3^10) + (2*g1^2*t^8.511)/(g2^2*g3^8) + (g1^3*t^8.511)/(g2^3*g3^6) + (g1^4*t^8.511)/(g2^4*g3^4) - (g2^3*t^8.645)/g3^7 - (g1*g2^2*t^8.645)/g3^5 - (g3^6*t^8.645)/(g1*g2^2) - (g3^8*t^8.645)/g2^3 + 2*g3^13*t^8.779 + (2*g1^2*t^8.837)/g2^2 + (g2^3*t^8.837)/(g1^3*g3^10) + (2*g2^2*t^8.837)/(g1^2*g3^8) + (2*t^8.837)/g3^4 + (g1^3*g3^2*t^8.837)/g2^3 + g2^3*g3*t^8.971 + g1*g2^2*g3^3*t^8.971 + (g3^14*t^8.971)/(g1*g2^2) + (g3^16*t^8.971)/g2^3 + t^8.128/(g3^3*y^2) - (g2*t^8.837)/(g1*g3^6*y^2) - t^8.837/(g3^4*y^2) - (g1*t^8.837)/(g2*g3^2*y^2) - t^3.709/(g3*y) - t^4.419/(g3^2*y) - (g2*t^5.837)/(g1*g3^6*y) - t^5.837/(g3^4*y) - (g1*t^5.837)/(g2*g3^2*y) - (g3^4*t^6.163)/y - (g2*t^6.546)/(g1*g3^7*y) - t^6.546/(g3^5*y) - (g1*t^6.546)/(g2*g3^3*y) - (g3^3*t^6.872)/y + (g2*t^7.256)/(g1*g3^8*y) + t^7.256/(g3^6*y) + (g1*t^7.256)/(g2*g3^4*y) + (g2*t^7.581)/(g1*y) + (g1*g3^4*t^7.581)/(g2*y) - (g2^2*t^7.965)/(g1^2*g3^11*y) - (g2*t^7.965)/(g1*g3^9*y) - (2*t^7.965)/(g3^7*y) - (g1*t^7.965)/(g2*g3^5*y) - (g1^2*t^7.965)/(g2^2*g3^3*y) + (g2*t^8.291)/(g1*g3*y) + (g1*g3^3*t^8.291)/(g2*y) - (g2^2*t^8.674)/(g1^2*g3^12*y) - (g2*t^8.674)/(g1*g3^10*y) - (2*t^8.674)/(g3^8*y) - (g1*t^8.674)/(g2*g3^6*y) - (g1^2*t^8.674)/(g2^2*g3^4*y) - (t^3.709*y)/g3 - (t^4.419*y)/g3^2 - (g2*t^5.837*y)/(g1*g3^6) - (t^5.837*y)/g3^4 - (g1*t^5.837*y)/(g2*g3^2) - g3^4*t^6.163*y - (g2*t^6.546*y)/(g1*g3^7) - (t^6.546*y)/g3^5 - (g1*t^6.546*y)/(g2*g3^3) - g3^3*t^6.872*y + (g2*t^7.256*y)/(g1*g3^8) + (t^7.256*y)/g3^6 + (g1*t^7.256*y)/(g2*g3^4) + (g2*t^7.581*y)/g1 + (g1*g3^4*t^7.581*y)/g2 - (g2^2*t^7.965*y)/(g1^2*g3^11) - (g2*t^7.965*y)/(g1*g3^9) - (2*t^7.965*y)/g3^7 - (g1*t^7.965*y)/(g2*g3^5) - (g1^2*t^7.965*y)/(g2^2*g3^3) + (g2*t^8.291*y)/(g1*g3) + (g1*g3^3*t^8.291*y)/g2 - (g2^2*t^8.674*y)/(g1^2*g3^12) - (g2*t^8.674*y)/(g1*g3^10) - (2*t^8.674*y)/g3^8 - (g1*t^8.674*y)/(g2*g3^6) - (g1^2*t^8.674*y)/(g2^2*g3^4) + (t^8.128*y^2)/g3^3 - (g2*t^8.837*y^2)/(g1*g3^6) - (t^8.837*y^2)/g3^4 - (g1*t^8.837*y^2)/(g2*g3^2)

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
57876	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$	1.1574	1.3112	0.8828	[X:[1.5404], M:[0.6893, 0.6893, 0.9191], q:[0.4256, 0.8851], qb:[0.8851, 0.4256], phi:[0.2298]]	3*t^2.07 + t^2.55 + t^2.76 + t^3.93 + 6*t^4.14 + 4*t^4.62 + 3*t^4.83 + t^5.11 + 2*t^5.31 + t^5.51 + 4*t^5.9 - 2*t^6. - t^3.69/y - t^4.38/y - (3*t^5.76)/y - t^3.69*y - t^4.38*y - 3*t^5.76*y	detail
57877	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{2}q_{1}\tilde{q}_{2}$	1.1716	1.3407	0.8739	[X:[1.5295], M:[0.7058, 0.7058, 0.7058], q:[0.4118, 0.8824], qb:[0.8824, 0.4118], phi:[0.2353]]	4*t^2.12 + t^2.47 + t^3.18 + 10*t^4.23 + 5*t^4.59 + t^4.94 + 5*t^5.29 + t^5.65 + 4*t^5.82 - 5*t^6. - t^3.71/y - t^4.41/y - (4*t^5.82)/y - t^3.71*y - t^4.41*y - 4*t^5.82*y	detail
57875	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$	1.137	1.2763	0.8908	[X:[1.5414], M:[0.6879, 0.6879, 1.1465], q:[0.4268, 0.8854], qb:[0.8854, 0.4268], phi:[0.2293]]	3*t^2.06 + t^3.25 + t^3.44 + t^3.94 + 6*t^4.13 + t^4.62 + 4*t^5.31 + 3*t^5.5 + 4*t^5.9 - 2*t^6. - t^3.69/y - t^4.38/y - (3*t^5.75)/y - t^3.69*y - t^4.38*y - 3*t^5.75*y	detail
57874	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$	1.15	1.3	0.8846	[X:[1.5333], M:[0.709, 0.691], q:[0.4, 0.8756], qb:[0.891, 0.4333], phi:[0.2333]]	t^2.07 + t^2.1 + t^2.13 + t^2.5 + t^3.2 + t^3.9 + t^4.15 + t^4.17 + 2*t^4.2 + t^4.23 + t^4.25 + t^4.57 + 2*t^4.6 + t^4.63 + t^5. + t^5.27 + 2*t^5.3 + t^5.33 + 2*t^5.7 + t^5.73 + t^5.97 - t^6. - t^3.7/y - t^4.4/y - t^5.77/y - t^5.8/y - t^5.83/y - t^3.7*y - t^4.4*y - t^5.77*y - t^5.8*y - t^5.83*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

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
47885	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$	1.4561	1.6383	0.8888	[X:[1.3617], M:[0.9574, 0.9574], q:[0.5213, 0.5213], qb:[0.5213, 0.5213], phi:[0.3191]]	3*t^2.872 + 2*t^3.128 + 5*t^4.085 + 4*t^5.043 + 4*t^5.649 + 6*t^5.744 - 2*t^6. - t^3.957/y - t^4.915/y - t^3.957*y - t^4.915*y	detail