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
3284	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$	0.4801	0.5664	0.8477	[X:[1.8405, 1.6196, 1.4601], M:[1.0797, 0.1595, 0.9203, 0.3804, 0.6994, 0.8098], q:[0.5154, 1.2147], qb:[0.4049, 0.7853], phi:[0.2699]]	[X:[[16], [-12], [4]], M:[[-8], [-16], [8], [12], [-20], [-6]], q:[[11], [-9]], qb:[[-3], [9]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{3}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }X_{2}$, ${ }M_{3}M_{6}$, ${ }q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}^{2}$, ${ }X_{1}$	${}$	-1	t^2.098 + t^2.429 + t^2.761 + t^3.239 + t^4.196 + t^4.38 + t^4.527 + 2*t^4.859 + t^5.19 + t^5.337 + t^5.522 - t^6. + t^6.294 - t^6.331 + t^6.478 + t^6.626 + 2*t^6.957 - t^7.141 + 2*t^7.288 + t^7.435 + 2*t^7.62 - t^8.098 + t^8.392 - 2*t^8.429 + t^8.577 + t^8.724 - 2*t^8.761 - 2*t^8.908 - t^8.908/y^2 - t^3.81/y - t^5.908/y - t^6.239/y + t^7.38/y + t^7.527/y + t^7.712/y + t^7.859/y - t^8.006/y + t^8.19/y - t^3.81*y - t^5.908*y - t^6.239*y + t^7.38*y + t^7.527*y + t^7.712*y + t^7.859*y - t^8.006*y + t^8.19*y - t^8.908*y^2	t^2.098/g1^20 + t^2.429/g1^6 + g1^8*t^2.761 + t^3.239/g1^8 + t^4.196/g1^40 + g1^4*t^4.38 + t^4.527/g1^26 + (2*t^4.859)/g1^12 + g1^2*t^5.19 + t^5.337/g1^28 + g1^16*t^5.522 - t^6. + t^6.294/g1^60 - g1^14*t^6.331 + t^6.478/g1^16 + t^6.626/g1^46 + (2*t^6.957)/g1^32 - g1^12*t^7.141 + (2*t^7.288)/g1^18 + t^7.435/g1^48 + (2*t^7.62)/g1^4 - t^8.098/g1^20 + t^8.392/g1^80 - (2*t^8.429)/g1^6 + t^8.577/g1^36 + t^8.724/g1^66 - 2*g1^8*t^8.761 - (2*t^8.908)/g1^22 - t^8.908/(g1^22*y^2) - t^3.81/(g1^2*y) - t^5.908/(g1^22*y) - t^6.239/(g1^8*y) + (g1^4*t^7.38)/y + t^7.527/(g1^26*y) + (g1^18*t^7.712)/y + t^7.859/(g1^12*y) - t^8.006/(g1^42*y) + (g1^2*t^8.19)/y - (t^3.81*y)/g1^2 - (t^5.908*y)/g1^22 - (t^6.239*y)/g1^8 + g1^4*t^7.38*y + (t^7.527*y)/g1^26 + g1^18*t^7.712*y + (t^7.859*y)/g1^12 - (t^8.006*y)/g1^42 + g1^2*t^8.19*y - (t^8.908*y^2)/g1^22

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
3722	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$	0.4674	0.5477	0.8533	[X:[1.7143, 1.7143, 1.4286], M:[1.1429, 0.2857, 0.8571, 0.2857, 0.8571, 0.8571], q:[0.4286, 1.2857], qb:[0.4286, 0.7143], phi:[0.2857]]	3*t^2.571 + t^3.429 + t^4.286 + 6*t^5.143 - t^6. - t^3.857/y - t^3.857*y	detail	{a: 2565/5488, c: 1503/2744, X1: 12/7, X2: 12/7, X3: 10/7, M1: 8/7, M2: 2/7, M3: 6/7, M4: 2/7, M5: 6/7, M6: 6/7, q1: 3/7, q2: 9/7, qb1: 3/7, qb2: 5/7, phi1: 2/7}
3721	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$	0.4135	0.4856	0.8515	[X:[1.5385, 1.8462, 1.3846], M:[1.2308, 0.4615, 0.7692, 0.1538, 1.0769, 0.9231], q:[0.3077, 1.3846], qb:[0.4615, 0.6154], phi:[0.3077]]	t^2.308 + t^2.769 + t^3.231 + t^3.692 + t^4.154 + t^4.615 + t^5.077 + t^5.538 - t^3.923/y - t^3.923*y	detail	{a: 14535/35152, c: 8535/17576, X1: 20/13, X2: 24/13, X3: 18/13, M1: 16/13, M2: 6/13, M3: 10/13, M4: 2/13, M5: 14/13, M6: 12/13, q1: 4/13, q2: 18/13, qb1: 6/13, qb2: 8/13, phi1: 4/13}
3723	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$	0.4598	0.528	0.8708	[X:[1.8165, 1.6376, 1.4541], M:[1.0918, 0.1835, 0.9082, 0.3624, 0.7294, 0.8188, 1.2706], q:[0.4988, 1.2282], qb:[0.4094, 0.7718], phi:[0.2729]]	t^2.456 + t^2.725 + t^3.275 + t^3.812 + t^4.362 + t^4.913 + t^5.181 + t^5.449 - t^6. - t^3.819/y - t^3.819*y	detail
3718	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$	0.4365	0.5115	0.8534	[X:[1.6, 1.8, 1.4], M:[1.2, 0.4, 0.8, 0.2, 1.0, 0.9], q:[0.35, 1.35], qb:[0.45, 0.65], phi:[0.3]]	t^2.4 + t^2.7 + t^3. + t^3.6 + t^4.2 + t^4.8 + t^5.1 + 2*t^5.4 - t^3.9/y - t^3.9*y	detail	{a: 873/2000, c: 1023/2000, X1: 8/5, X2: 9/5, X3: 7/5, M1: 6/5, M2: 2/5, M3: 4/5, M4: 1/5, M5: 1, M6: 9/10, q1: 7/20, q2: 27/20, qb1: 9/20, qb2: 13/20, phi1: 3/10}

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
2769	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$	0.4644	0.5384	0.8625	[X:[1.826, 1.6305, 1.4565], M:[1.087, 0.174, 0.913, 0.3695, 0.7175], q:[0.5054, 1.2229], qb:[0.4076, 0.7771], phi:[0.2718]]	t^2.153 + t^2.739 + t^3.261 + t^3.554 + t^4.305 + t^4.369 + t^4.892 + t^5.414 + t^5.478 - t^6. - t^3.815/y - t^5.968/y - t^3.815*y - t^5.968*y	detail