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
4330	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.7323	0.9198	0.7962	[M:[0.9203, 1.0399, 1.0, 1.0797, 0.8405, 0.9203, 0.9203, 0.6794], q:[0.5, 0.5797], qb:[0.4203, 0.5797], phi:[0.4801]]	[M:[[-4], [2], [0], [4], [-8], [-4], [-4], [9]], q:[[0], [4]], qb:[[-4], [4]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{8}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$	${}q_{2}^{2}\tilde{q}_{1}^{2}$	-3	t^2.038 + t^2.522 + 3*t^2.761 + 2*t^3. + t^3.12 + t^4.076 + t^4.201 + 3*t^4.44 + t^4.56 + 2*t^4.679 + 3*t^4.799 + 3*t^4.919 + 2*t^5.038 + t^5.043 + t^5.158 + 3*t^5.282 + 6*t^5.522 + t^5.641 + 3*t^5.761 + 3*t^5.88 - 3*t^6. + t^6.115 + 2*t^6.12 - 2*t^6.239 + t^6.478 + t^6.598 + 2*t^6.718 + t^6.723 + 3*t^6.837 + 3*t^6.957 + 4*t^6.962 + 2*t^7.076 + t^7.196 + 8*t^7.201 + 3*t^7.321 + 7*t^7.44 + 6*t^7.56 + t^7.565 + 6*t^7.679 + 3*t^7.799 + 3*t^7.804 + 4*t^7.919 - 3*t^8.038 + 6*t^8.043 + t^8.153 + t^8.163 - 2*t^8.277 + 7*t^8.282 + 3*t^8.402 + t^8.517 - t^8.522 + t^8.636 + 7*t^8.641 + 2*t^8.756 - 12*t^8.761 + 3*t^8.875 + 6*t^8.88 + 3*t^8.995 - t^4.44/y - t^6.478/y - t^6.962/y - (2*t^7.201)/y + t^7.56/y + (2*t^7.679)/y + (3*t^7.799)/y + t^7.919/y + (2*t^8.038)/y + t^8.158/y + (3*t^8.282)/y + t^8.402/y - t^8.517/y + (5*t^8.522)/y + t^8.641/y + (6*t^8.761)/y + (3*t^8.88)/y - t^4.44*y - t^6.478*y - t^6.962*y - 2*t^7.201*y + t^7.56*y + 2*t^7.679*y + 3*t^7.799*y + t^7.919*y + 2*t^8.038*y + t^8.158*y + 3*t^8.282*y + t^8.402*y - t^8.517*y + 5*t^8.522*y + t^8.641*y + 6*t^8.761*y + 3*t^8.88*y	g1^9*t^2.038 + t^2.522/g1^8 + (3*t^2.761)/g1^4 + 2*t^3. + g1^2*t^3.12 + g1^18*t^4.076 + t^4.201/g1^5 + (3*t^4.44)/g1 + g1*t^4.56 + 2*g1^3*t^4.679 + 3*g1^5*t^4.799 + 3*g1^7*t^4.919 + 2*g1^9*t^5.038 + t^5.043/g1^16 + g1^11*t^5.158 + (3*t^5.282)/g1^12 + (6*t^5.522)/g1^8 + t^5.641/g1^6 + (3*t^5.761)/g1^4 + (3*t^5.88)/g1^2 - 3*t^6. + g1^27*t^6.115 + 2*g1^2*t^6.12 - 2*g1^4*t^6.239 + g1^8*t^6.478 + g1^10*t^6.598 + 2*g1^12*t^6.718 + t^6.723/g1^13 + 3*g1^14*t^6.837 + 3*g1^16*t^6.957 + (4*t^6.962)/g1^9 + 2*g1^18*t^7.076 + g1^20*t^7.196 + (8*t^7.201)/g1^5 + (3*t^7.321)/g1^3 + (7*t^7.44)/g1 + 6*g1*t^7.56 + t^7.565/g1^24 + 6*g1^3*t^7.679 + 3*g1^5*t^7.799 + (3*t^7.804)/g1^20 + 4*g1^7*t^7.919 - 3*g1^9*t^8.038 + (6*t^8.043)/g1^16 + g1^36*t^8.153 + t^8.163/g1^14 - 2*g1^13*t^8.277 + (7*t^8.282)/g1^12 + (3*t^8.402)/g1^10 + g1^17*t^8.517 - t^8.522/g1^8 + g1^19*t^8.636 + (7*t^8.641)/g1^6 + 2*g1^21*t^8.756 - (12*t^8.761)/g1^4 + 3*g1^23*t^8.875 + (6*t^8.88)/g1^2 + 3*g1^25*t^8.995 - t^4.44/(g1*y) - (g1^8*t^6.478)/y - t^6.962/(g1^9*y) - (2*t^7.201)/(g1^5*y) + (g1*t^7.56)/y + (2*g1^3*t^7.679)/y + (3*g1^5*t^7.799)/y + (g1^7*t^7.919)/y + (2*g1^9*t^8.038)/y + (g1^11*t^8.158)/y + (3*t^8.282)/(g1^12*y) + t^8.402/(g1^10*y) - (g1^17*t^8.517)/y + (5*t^8.522)/(g1^8*y) + t^8.641/(g1^6*y) + (6*t^8.761)/(g1^4*y) + (3*t^8.88)/(g1^2*y) - (t^4.44*y)/g1 - g1^8*t^6.478*y - (t^6.962*y)/g1^9 - (2*t^7.201*y)/g1^5 + g1*t^7.56*y + 2*g1^3*t^7.679*y + 3*g1^5*t^7.799*y + g1^7*t^7.919*y + 2*g1^9*t^8.038*y + g1^11*t^8.158*y + (3*t^8.282*y)/g1^12 + (t^8.402*y)/g1^10 - g1^17*t^8.517*y + (5*t^8.522*y)/g1^8 + (t^8.641*y)/g1^6 + (6*t^8.761*y)/g1^4 + (3*t^8.88*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
5783	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{5}X_{1}$	0.6658	0.8305	0.8016	[X:[1.3636], M:[0.8182, 1.0909, 1.0, 1.1818, 0.6364, 0.8182, 0.8182, 0.9091], q:[0.5, 0.6818], qb:[0.3182, 0.6818], phi:[0.4545]]	3*t^2.455 + t^2.727 + 2*t^3. + t^3.273 + t^3.818 + t^4.091 + 3*t^4.364 + 6*t^4.909 + 3*t^5.182 + 7*t^5.455 + 5*t^5.727 - 2*t^6. - t^4.364/y - t^4.364*y	detail	{a: 7089/10648, c: 17687/21296, X1: 15/11, M1: 9/11, M2: 12/11, M3: 1, M4: 13/11, M5: 7/11, M6: 9/11, M7: 9/11, M8: 10/11, q1: 1/2, q2: 15/22, qb1: 7/22, qb2: 15/22, phi1: 5/11}
5776	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}^{2}$ + ${ }M_{5}X_{1}$	0.6265	0.7863	0.7969	[X:[1.4444], M:[0.7778, 1.1111, 1.0, 1.2222, 0.5556, 0.7778, 0.7778, 1.0], q:[0.5, 0.7222], qb:[0.2778, 0.7222], phi:[0.4444]]	3*t^2.333 + 3*t^3. + t^3.333 + t^3.667 + 4*t^4.333 + 4*t^4.667 + 2*t^5. + 6*t^5.333 + 6*t^5.667 + t^6. - t^4.333/y - t^4.333*y	detail	{a: 203/324, c: 1019/1296, X1: 13/9, M1: 7/9, M2: 10/9, M3: 1, M4: 11/9, M5: 5/9, M6: 7/9, M7: 7/9, M8: 1, q1: 1/2, q2: 13/18, qb1: 5/18, qb2: 13/18, phi1: 4/9}

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
2340	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.7115	0.8794	0.8092	[M:[0.9178, 1.0411, 1.0, 1.0822, 0.8355, 0.9178, 0.9178], q:[0.5, 0.5822], qb:[0.4178, 0.5822], phi:[0.4794]]	t^2.507 + 3*t^2.753 + 2*t^3. + t^3.123 + t^3.945 + t^4.192 + 3*t^4.438 + 2*t^4.685 + 3*t^4.932 + t^5.013 + 3*t^5.26 + 6*t^5.507 + t^5.63 + 3*t^5.753 + 3*t^5.877 - 3*t^6. - t^4.438/y - t^4.438*y	detail