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
3418	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$	0.664	0.841	0.7895	[X:[1.6], M:[0.7678, 0.8322, 1.2, 0.4, 0.8, 0.7839, 0.7839], q:[0.4081, 0.8242], qb:[0.3919, 0.7758], phi:[0.4]]	[X:[[0, 0]], M:[[1, 1], [-1, -1], [0, 0], [0, 0], [0, 0], [-1, 1], [2, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	${}M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$	-1	t^2.303 + 2*t^2.352 + 2*t^2.4 + t^2.497 + 2*t^3.552 + t^3.6 + t^4.607 + 2*t^4.655 + 5*t^4.703 + 4*t^4.752 + 5*t^4.8 + 2*t^4.848 + 2*t^4.897 + t^4.993 + 2*t^5.855 + 4*t^5.903 + 4*t^5.952 - t^6. + t^6.91 + 2*t^6.958 + 5*t^7.007 + 8*t^7.055 + 12*t^7.103 + 8*t^7.152 + 7*t^7.2 + 3*t^7.297 + 2*t^7.345 + 2*t^7.393 + t^7.49 + 2*t^8.158 + 4*t^8.207 + 8*t^8.255 + 3*t^8.303 - 4*t^8.4 - 4*t^8.448 - 4*t^8.497 - t^4.2/y - t^6.503/y - (2*t^6.552)/y - t^6.6/y - t^6.697/y + (2*t^7.655)/y + (4*t^7.703)/y + (4*t^7.752)/y + (3*t^7.8)/y + (4*t^7.848)/y + (3*t^7.897)/y - t^8.807/y + t^8.903/y + (4*t^8.952)/y - t^4.2*y - t^6.503*y - 2*t^6.552*y - t^6.6*y - t^6.697*y + 2*t^7.655*y + 4*t^7.703*y + 4*t^7.752*y + 3*t^7.8*y + 4*t^7.848*y + 3*t^7.897*y - t^8.807*y + t^8.903*y + 4*t^8.952*y	g1*g2*t^2.303 + g1^2*t^2.352 + (g2*t^2.352)/g1 + 2*t^2.4 + t^2.497/(g1*g2) + g1^2*t^3.552 + (g2*t^3.552)/g1 + t^3.6 + g1^2*g2^2*t^4.607 + g1^3*g2*t^4.655 + g2^2*t^4.655 + g1^4*t^4.703 + 3*g1*g2*t^4.703 + (g2^2*t^4.703)/g1^2 + 2*g1^2*t^4.752 + (2*g2*t^4.752)/g1 + 5*t^4.8 + t^4.848/g1^2 + (g1*t^4.848)/g2 + (2*t^4.897)/(g1*g2) + t^4.993/(g1^2*g2^2) + g1^3*g2*t^5.855 + g2^2*t^5.855 + g1^4*t^5.903 + 2*g1*g2*t^5.903 + (g2^2*t^5.903)/g1^2 + 2*g1^2*t^5.952 + (2*g2*t^5.952)/g1 - t^6. + g1^3*g2^3*t^6.91 + g1^4*g2^2*t^6.958 + g1*g2^3*t^6.958 + g1^5*g2*t^7.007 + 3*g1^2*g2^2*t^7.007 + (g2^3*t^7.007)/g1 + g1^6*t^7.055 + 3*g1^3*g2*t^7.055 + 3*g2^2*t^7.055 + (g2^3*t^7.055)/g1^3 + 3*g1^4*t^7.103 + 6*g1*g2*t^7.103 + (3*g2^2*t^7.103)/g1^2 + 4*g1^2*t^7.152 + (4*g2*t^7.152)/g1 + 5*t^7.2 + (g1^3*t^7.2)/g2 + (g2*t^7.2)/g1^3 + (3*t^7.297)/(g1*g2) + t^7.345/g2^2 + t^7.345/(g1^3*g2) + (2*t^7.393)/(g1^2*g2^2) + t^7.49/(g1^3*g2^3) + g1^4*g2^2*t^8.158 + g1*g2^3*t^8.158 + g1^5*g2*t^8.207 + 2*g1^2*g2^2*t^8.207 + (g2^3*t^8.207)/g1 + g1^6*t^8.255 + 3*g1^3*g2*t^8.255 + 3*g2^2*t^8.255 + (g2^3*t^8.255)/g1^3 + 2*g1^4*t^8.303 - g1*g2*t^8.303 + (2*g2^2*t^8.303)/g1^2 - 4*t^8.4 - (2*t^8.448)/g1^2 - (2*g1*t^8.448)/g2 - (4*t^8.497)/(g1*g2) - t^4.2/y - (g1*g2*t^6.503)/y - (g1^2*t^6.552)/y - (g2*t^6.552)/(g1*y) - t^6.6/y - t^6.697/(g1*g2*y) + (g1^3*g2*t^7.655)/y + (g2^2*t^7.655)/y + (4*g1*g2*t^7.703)/y + (2*g1^2*t^7.752)/y + (2*g2*t^7.752)/(g1*y) + (3*t^7.8)/y + (2*t^7.848)/(g1^2*y) + (2*g1*t^7.848)/(g2*y) + (3*t^7.897)/(g1*g2*y) - (g1^2*g2^2*t^8.807)/y + (g1*g2*t^8.903)/y + (2*g1^2*t^8.952)/y + (2*g2*t^8.952)/(g1*y) - t^4.2*y - g1*g2*t^6.503*y - g1^2*t^6.552*y - (g2*t^6.552*y)/g1 - t^6.6*y - (t^6.697*y)/(g1*g2) + g1^3*g2*t^7.655*y + g2^2*t^7.655*y + 4*g1*g2*t^7.703*y + 2*g1^2*t^7.752*y + (2*g2*t^7.752*y)/g1 + 3*t^7.8*y + (2*t^7.848*y)/g1^2 + (2*g1*t^7.848*y)/g2 + (3*t^7.897*y)/(g1*g2) - g1^2*g2^2*t^8.807*y + g1*g2*t^8.903*y + 2*g1^2*t^8.952*y + (2*g2*t^8.952*y)/g1

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
3907	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}X_{2}$	0.5949	0.7324	0.8123	[X:[1.6, 1.4], M:[1.0, 0.6, 1.2, 0.4, 0.8, 0.9, 0.9], q:[0.35, 0.65], qb:[0.45, 0.95], phi:[0.4]]	2*t^2.4 + 2*t^2.7 + t^3. + t^3.6 + 2*t^3.9 + t^4.2 + 4*t^4.8 + 4*t^5.1 + 4*t^5.4 - t^4.2/y - t^4.2*y	detail	{a: 9519/16000, c: 11719/16000, X1: 8/5, X2: 7/5, M1: 1, M2: 3/5, M3: 6/5, M4: 2/5, M5: 4/5, M6: 9/10, M7: 9/10, q1: 7/20, q2: 13/20, qb1: 9/20, qb2: 19/20, phi1: 2/5}
3908	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$	0.6805	0.87	0.7822	[X:[1.6], M:[0.7678, 0.8322, 1.2, 0.4, 0.8, 0.7839, 0.7839, 0.8], q:[0.4081, 0.8242], qb:[0.3919, 0.7758], phi:[0.4]]	t^2.303 + 2*t^2.352 + 3*t^2.4 + t^2.497 + 2*t^3.552 + t^4.607 + 2*t^4.655 + 6*t^4.703 + 6*t^4.752 + 8*t^4.8 + 2*t^4.848 + 3*t^4.897 + t^4.993 + 2*t^5.855 + 3*t^5.903 + 4*t^5.952 - 3*t^6. - t^4.2/y - t^4.2*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
2854	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$	0.6477	0.8127	0.797	[X:[1.6], M:[0.7866, 0.8134, 1.2, 0.4, 0.8, 0.7599], q:[0.3866, 0.8267], qb:[0.4134, 0.7733], phi:[0.4]]	t^2.28 + t^2.36 + 2*t^2.4 + t^2.44 + t^3.48 + t^3.52 + t^3.6 + t^3.68 + t^4.559 + t^4.64 + 2*t^4.68 + 2*t^4.72 + 2*t^4.76 + 5*t^4.8 + 2*t^4.84 + t^4.88 + t^5.759 + t^5.8 + t^5.84 + 3*t^5.88 + 2*t^5.92 + 2*t^5.96 - t^6. - t^4.2/y - t^4.2*y	detail