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
47892	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$	1.2512	1.4512	0.8622	[X:[1.4, 1.4], q:[0.3833, 0.3833], qb:[0.6167, 0.2167], phi:[0.4]]	[X:[[0, -1], [0, 1]], q:[[-1, 1], [-1, -1]], qb:[[1, 0], [1, 0]], phi:[[0, 0]]]	2	{a: 20019/16000, c: 23219/16000, X1: 7/5, X2: 7/5, q1: 23/60, q2: 23/60, qb1: 37/60, qb2: 13/60, phi1: 2/5}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$	${}\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$	4	t^2.4 + 4*t^3. + t^3.6 + 6*t^4.2 + t^4.35 + 2*t^4.65 + 6*t^5.4 + 3*t^5.55 + 2*t^5.85 + 4*t^6. - t^6.45 + 8*t^6.6 + 3*t^6.75 + 6*t^7.05 + 17*t^7.2 + 2*t^7.65 + 4*t^7.8 + 3*t^7.95 + 2*t^8.25 + 26*t^8.4 + 8*t^8.55 + t^8.7 + 6*t^8.85 - t^4.2/y - t^5.4/y - t^6.6/y - (2*t^7.2)/y - t^7.8/y - (2*t^8.4)/y - t^4.2*y - t^5.4*y - t^6.6*y - 2*t^7.2*y - t^7.8*y - 2*t^8.4*y	t^2.4 + (2*t^3.)/g2 + 2*g2*t^3. + t^3.6 + (3*t^4.2)/g2 + 3*g2*t^4.2 + g1^3*t^4.35 + t^4.65/(g1^3*g2) + (g2*t^4.65)/g1^3 + (3*t^5.4)/g2 + 3*g2*t^5.4 + 3*g1^3*t^5.55 + t^5.85/(g1^3*g2) + (g2*t^5.85)/g1^3 + (2*t^6.)/g2^2 + 2*g2^2*t^6. - t^6.45/g1^3 + (4*t^6.6)/g2 + 4*g2*t^6.6 + 3*g1^3*t^6.75 + t^7.05/(g1^3*g2^3) + (2*t^7.05)/(g1^3*g2) + (2*g2*t^7.05)/g1^3 + (g2^3*t^7.05)/g1^3 + 7*t^7.2 + (5*t^7.2)/g2^2 + 5*g2^2*t^7.2 + t^7.65/(g1^3*g2^2) + (g2^2*t^7.65)/g1^3 + (2*t^7.8)/g2 + 2*g2*t^7.8 + 3*g1^3*t^7.95 + t^8.25/(g1^3*g2) + (g2*t^8.25)/g1^3 + 8*t^8.4 + (9*t^8.4)/g2^2 + 9*g2^2*t^8.4 + (4*g1^3*t^8.55)/g2 + 4*g1^3*g2*t^8.55 + g1^6*t^8.7 + (2*t^8.85)/g1^3 + (2*t^8.85)/(g1^3*g2^2) + (2*g2^2*t^8.85)/g1^3 - t^4.2/y - t^5.4/y - t^6.6/y - t^7.2/(g2*y) - (g2*t^7.2)/y - t^7.8/y - t^8.4/(g2*y) - (g2*t^8.4)/y - t^4.2*y - t^5.4*y - t^6.6*y - (t^7.2*y)/g2 - g2*t^7.2*y - t^7.8*y - (t^8.4*y)/g2 - g2*t^8.4*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
57367	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.2677	1.4802	0.8564	[X:[1.4, 1.4], M:[0.8], q:[0.3833, 0.3833], qb:[0.6167, 0.2167], phi:[0.4]]	2*t^2.4 + 4*t^3. + 6*t^4.2 + t^4.35 + 2*t^4.65 + 2*t^4.8 + 10*t^5.4 + 3*t^5.55 + 2*t^5.85 + 3*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 20283/16000, c: 23683/16000, X1: 7/5, X2: 7/5, M1: 4/5, q1: 23/60, q2: 23/60, qb1: 37/60, qb2: 13/60, phi1: 2/5}
57343	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$	1.1506	1.3506	0.8519	[X:[1.5145, 1.2855], q:[0.3806, 0.6097], qb:[0.5048, 0.1048], phi:[0.4]]	t^2.4 + 2*t^2.656 + 3*t^3.344 + t^3.6 + 3*t^3.856 + 6*t^4.544 + 3*t^5.056 + 3*t^5.313 + 6*t^5.744 + t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
57362	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1.236	1.436	0.8607	[X:[1.4, 1.4], q:[0.3333, 0.3333], qb:[0.6667, 0.2667], phi:[0.4]]	t^2.4 + 4*t^3. + t^3.6 + 8*t^4.2 + t^4.8 + 8*t^5.4 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 309/250, c: 359/250, X1: 7/5, X2: 7/5, q1: 1/3, q2: 1/3, qb1: 2/3, qb2: 4/15, phi1: 2/5}
57365	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$	1.2499	1.4499	0.8621	[X:[1.411, 1.389], q:[0.3853, 0.4073], qb:[0.6037, 0.2037], phi:[0.4]]	t^2.4 + 2*t^2.967 + 2*t^3.033 + t^3.6 + 3*t^4.167 + 4*t^4.233 + t^4.734 + t^4.8 + 3*t^5.367 + 6*t^5.433 + 3*t^5.934 + t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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
47867	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$	1.4741	1.6835	0.8756	[q:[0.4973, 0.4973], qb:[0.5027, 0.4919], phi:[0.3351]]	t^2.011 + 2*t^2.967 + 2*t^3. + t^3.016 + 2*t^3.973 + 2*t^4.005 + t^4.022 + 4*t^4.978 + 4*t^5.011 + t^5.027 + t^5.465 + 2*t^5.481 + t^5.497 + 3*t^5.935 + 3*t^5.967 + 4*t^5.984 - 3*t^6. - t^4.005/y - t^5.011/y - t^4.005*y - t^5.011*y	detail