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
1459	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$	0.7024	0.8618	0.815	[M:[1.0, 0.9328, 1.0, 0.9328, 1.0672, 0.9328], q:[0.5336, 0.4664], qb:[0.4664, 0.6008], phi:[0.4832]]	[M:[[0], [-4], [0], [-4], [4], [-4]], q:[[2], [-2]], qb:[[-2], [6]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$	${}M_{3}^{2}$	-3	3*t^2.798 + t^2.899 + 2*t^3. + t^3.403 + 3*t^4.248 + 2*t^4.45 + 3*t^4.651 + t^4.853 + t^5.055 + 4*t^5.597 + 3*t^5.697 + 4*t^5.798 + 2*t^5.899 - 3*t^6. - t^6.202 + t^6.303 + t^6.807 + 7*t^7.046 + 3*t^7.147 + 7*t^7.248 - t^7.349 + 5*t^7.45 + t^7.55 + 4*t^7.651 - 2*t^7.752 + 2*t^7.853 + 3*t^8.055 - t^8.155 + t^8.256 + 5*t^8.395 + t^8.458 + 9*t^8.496 + 4*t^8.597 + 8*t^8.697 - 9*t^8.798 + 4*t^8.899 - t^4.45/y - (2*t^7.248)/y - t^7.349/y + t^7.55/y + (2*t^7.651)/y + (3*t^8.597)/y + (3*t^8.697)/y + (6*t^8.798)/y + (2*t^8.899)/y - t^4.45*y - 2*t^7.248*y - t^7.349*y + t^7.55*y + 2*t^7.651*y + 3*t^8.597*y + 3*t^8.697*y + 6*t^8.798*y + 2*t^8.899*y	(3*t^2.798)/g1^4 + t^2.899/g1^2 + 2*t^3. + g1^8*t^3.403 + (3*t^4.248)/g1^5 + (2*t^4.45)/g1 + 3*g1^3*t^4.651 + g1^7*t^4.853 + g1^11*t^5.055 + (4*t^5.597)/g1^8 + (3*t^5.697)/g1^6 + (4*t^5.798)/g1^4 + (2*t^5.899)/g1^2 - 3*t^6. - g1^4*t^6.202 + g1^6*t^6.303 + g1^16*t^6.807 + (7*t^7.046)/g1^9 + (3*t^7.147)/g1^7 + (7*t^7.248)/g1^5 - t^7.349/g1^3 + (5*t^7.45)/g1 + g1*t^7.55 + 4*g1^3*t^7.651 - 2*g1^5*t^7.752 + 2*g1^7*t^7.853 + 3*g1^11*t^8.055 - g1^13*t^8.155 + g1^15*t^8.256 + (5*t^8.395)/g1^12 + g1^19*t^8.458 + (9*t^8.496)/g1^10 + (4*t^8.597)/g1^8 + (8*t^8.697)/g1^6 - (9*t^8.798)/g1^4 + (4*t^8.899)/g1^2 - t^4.45/(g1*y) - (2*t^7.248)/(g1^5*y) - t^7.349/(g1^3*y) + (g1*t^7.55)/y + (2*g1^3*t^7.651)/y + (3*t^8.597)/(g1^8*y) + (3*t^8.697)/(g1^6*y) + (6*t^8.798)/(g1^4*y) + (2*t^8.899)/(g1^2*y) - (t^4.45*y)/g1 - (2*t^7.248*y)/g1^5 - (t^7.349*y)/g1^3 + g1*t^7.55*y + 2*g1^3*t^7.651*y + (3*t^8.597*y)/g1^8 + (3*t^8.697*y)/g1^6 + (6*t^8.798*y)/g1^4 + (2*t^8.899*y)/g1^2

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
2544	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	0.603	0.7726	0.7804	[M:[1.0, 0.7143, 1.0, 0.7143, 1.2857, 0.7143], q:[0.6429, 0.3571], qb:[0.3571, 0.9286], phi:[0.4286]]	3*t^2.143 + t^2.571 + 2*t^3. + 3*t^3.429 + 6*t^4.286 + 4*t^4.714 + 7*t^5.143 + 9*t^5.571 + t^6. - t^4.286/y - t^4.286*y	detail	{a: 3309/5488, c: 265/343, M1: 1, M2: 5/7, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, q1: 9/14, q2: 5/14, qb1: 5/14, qb2: 13/14, phi1: 3/7}
2546	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.6734	0.8381	0.8034	[M:[1.0, 0.8182, 1.0, 0.8182, 1.1818, 0.8182], q:[0.5909, 0.4091], qb:[0.4091, 0.7727], phi:[0.4545]]	3*t^2.455 + t^2.727 + 2*t^3. + 3*t^3.818 + t^4.091 + 2*t^4.364 + 7*t^4.909 + 3*t^5.182 + 5*t^5.455 + 2*t^5.727 - 2*t^6. - t^4.364/y - t^4.364*y	detail	{a: 3585/5324, c: 17849/21296, M1: 1, M2: 9/11, M3: 1, M4: 9/11, M5: 13/11, M6: 9/11, q1: 13/22, q2: 9/22, qb1: 9/22, qb2: 17/22, phi1: 5/11}

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
946	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{1}M_{3}$	0.6971	0.8526	0.8176	[M:[1.0, 0.9519, 1.0, 0.9519, 1.0481], q:[0.524, 0.476], qb:[0.476, 0.5721], phi:[0.488]]	2*t^2.856 + t^2.928 + 2*t^3. + t^3.144 + t^3.288 + 3*t^4.32 + 2*t^4.464 + 3*t^4.608 + t^4.752 + t^4.896 + t^5.712 + 2*t^5.784 + 2*t^5.856 + 2*t^5.928 - t^6. - t^4.464/y - t^4.464*y	detail