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
2701	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{5}M_{8}$	0.6971	0.8562	0.8141	[M:[0.9343, 1.0398, 1.0129, 0.9613, 1.0387, 0.9602, 1.0129, 0.9613], q:[0.5457, 0.5199], qb:[0.4413, 0.5188], phi:[0.4935]]	[M:[[16, 8], [-12, -12], [-2, 2], [6, -6], [-6, 6], [12, 12], [-2, 2], [6, -6]], q:[[-10, -2], [-6, -6]], qb:[[12, 0], [0, 12]], phi:[[1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$	${}$	-4	t^2.803 + t^2.881 + 2*t^2.884 + 2*t^3.039 + t^3.194 + t^4.129 + t^4.361 + t^4.364 + t^4.442 + t^4.594 + t^4.597 + t^4.6 + t^4.674 + t^4.678 + t^4.755 + t^5.606 + t^5.684 + t^5.687 + t^5.761 + t^5.764 + 2*t^5.768 + 2*t^5.842 + t^5.919 + 3*t^5.923 - 4*t^6. - t^6.003 + t^6.074 + 3*t^6.077 - t^6.081 + t^6.232 - t^6.236 - t^6.313 + t^6.387 + t^6.932 + t^7.009 + 2*t^7.012 + t^7.164 + t^7.167 + t^7.242 + 2*t^7.245 + t^7.248 + t^7.322 + t^7.326 + t^7.397 + t^7.4 + t^7.403 + t^7.474 + 2*t^7.477 + t^7.481 + t^7.484 + t^7.555 + t^7.558 + t^7.632 + 2*t^7.636 + 2*t^7.639 + t^7.787 + t^7.868 + t^7.949 + t^8.257 + t^8.409 + t^8.487 + 2*t^8.49 + t^8.493 + t^8.564 + t^8.571 + t^8.642 + 3*t^8.645 + 2*t^8.651 + 2*t^8.722 + 3*t^8.726 + t^8.729 + t^8.8 - 2*t^8.803 + 3*t^8.806 - 2*t^8.881 - 7*t^8.884 - t^8.887 + 2*t^8.955 + 2*t^8.958 + 3*t^8.961 - t^4.481/y - t^7.284/y - t^7.364/y + t^7.442/y - t^7.519/y + t^7.597/y + t^7.678/y + t^8.684/y + (2*t^8.687)/y + (2*t^8.764)/y + t^8.768/y + (2*t^8.842)/y + (2*t^8.919)/y + (4*t^8.923)/y + t^8.997/y - t^4.481*y - t^7.284*y - t^7.364*y + t^7.442*y - t^7.519*y + t^7.597*y + t^7.678*y + t^8.684*y + 2*t^8.687*y + 2*t^8.764*y + t^8.768*y + 2*t^8.842*y + 2*t^8.919*y + 4*t^8.923*y + t^8.997*y	g1^16*g2^8*t^2.803 + g1^12*g2^12*t^2.881 + (2*g1^6*t^2.884)/g2^6 + (2*g2^2*t^3.039)/g1^2 + (g2^10*t^3.194)/g1^10 + (g1^25*t^4.129)/g2 + g1^13*g2^11*t^4.361 + (g1^7*t^4.364)/g2^7 + (g1^3*t^4.442)/g2^3 + g1*g2^23*t^4.594 + (g2^5*t^4.597)/g1^5 + t^4.6/(g1^11*g2^13) + (g2^9*t^4.674)/g1^9 + t^4.678/(g1^15*g2^9) + t^4.755/(g1^19*g2^5) + g1^32*g2^16*t^5.606 + g1^28*g2^20*t^5.684 + g1^22*g2^2*t^5.687 + g1^24*g2^24*t^5.761 + g1^18*g2^6*t^5.764 + (2*g1^12*t^5.768)/g2^12 + 2*g1^14*g2^10*t^5.842 + g1^10*g2^14*t^5.919 + (3*g1^4*t^5.923)/g2^4 - 4*t^6. - t^6.003/(g1^6*g2^18) + g1^2*g2^22*t^6.074 + (3*g2^4*t^6.077)/g1^4 - t^6.081/(g1^10*g2^14) + (g2^12*t^6.232)/g1^12 - t^6.236/(g1^18*g2^6) - t^6.313/(g1^22*g2^2) + (g2^20*t^6.387)/g1^20 + g1^41*g2^7*t^6.932 + g1^37*g2^11*t^7.009 + (2*g1^31*t^7.012)/g2^7 + g1^29*g2^19*t^7.164 + g1^23*g2*t^7.167 + g1^25*g2^23*t^7.242 + 2*g1^19*g2^5*t^7.245 + (g1^13*t^7.248)/g2^13 + g1^15*g2^9*t^7.322 + (g1^9*t^7.326)/g2^9 + g1^17*g2^31*t^7.397 + g1^11*g2^13*t^7.4 + (g1^5*t^7.403)/g2^5 + g1^13*g2^35*t^7.474 + 2*g1^7*g2^17*t^7.477 + (g1*t^7.481)/g2 + t^7.484/(g1^5*g2^19) + g1^3*g2^21*t^7.555 + (g2^3*t^7.558)/g1^3 + (g2^25*t^7.632)/g1 + (2*g2^7*t^7.636)/g1^7 + (2*t^7.639)/(g1^13*g2^11) + (g2^33*t^7.787)/g1^9 + (g2^19*t^7.868)/g1^19 + (g2^5*t^7.949)/g1^29 + (g1^50*t^8.257)/g2^2 + g1^48*g2^24*t^8.409 + g1^44*g2^28*t^8.487 + 2*g1^38*g2^10*t^8.49 + (g1^32*t^8.493)/g2^8 + g1^40*g2^32*t^8.564 + (g1^28*t^8.571)/g2^4 + g1^36*g2^36*t^8.642 + 3*g1^30*g2^18*t^8.645 + (2*g1^18*t^8.651)/g2^18 + 2*g1^26*g2^22*t^8.722 + 3*g1^20*g2^4*t^8.726 + (g1^14*t^8.729)/g2^14 + g1^22*g2^26*t^8.8 - 2*g1^16*g2^8*t^8.803 + (3*g1^10*t^8.806)/g2^10 - 2*g1^12*g2^12*t^8.881 - (7*g1^6*t^8.884)/g2^6 - t^8.887/g2^24 + 2*g1^14*g2^34*t^8.955 + 2*g1^8*g2^16*t^8.958 + (3*g1^2*t^8.961)/g2^2 - (g1*t^4.481)/(g2*y) - (g1^17*g2^7*t^7.284)/y - (g1^7*t^7.364)/(g2^7*y) + (g1^3*t^7.442)/(g2^3*y) - (g2*t^7.519)/(g1*y) + (g2^5*t^7.597)/(g1^5*y) + t^7.678/(g1^15*g2^9*y) + (g1^28*g2^20*t^8.684)/y + (2*g1^22*g2^2*t^8.687)/y + (2*g1^18*g2^6*t^8.764)/y + (g1^12*t^8.768)/(g2^12*y) + (2*g1^14*g2^10*t^8.842)/y + (2*g1^10*g2^14*t^8.919)/y + (4*g1^4*t^8.923)/(g2^4*y) + (g1^6*g2^18*t^8.997)/y - (g1*t^4.481*y)/g2 - g1^17*g2^7*t^7.284*y - (g1^7*t^7.364*y)/g2^7 + (g1^3*t^7.442*y)/g2^3 - (g2*t^7.519*y)/g1 + (g2^5*t^7.597*y)/g1^5 + (t^7.678*y)/(g1^15*g2^9) + g1^28*g2^20*t^8.684*y + 2*g1^22*g2^2*t^8.687*y + 2*g1^18*g2^6*t^8.764*y + (g1^12*t^8.768*y)/g2^12 + 2*g1^14*g2^10*t^8.842*y + 2*g1^10*g2^14*t^8.919*y + (4*g1^4*t^8.923*y)/g2^4 + g1^6*g2^18*t^8.997*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
4908	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{6}^{2}$	0.6958	0.8525	0.8162	[M:[0.9698, 1.0, 1.0151, 0.9546, 1.0454, 1.0, 1.0151, 0.9546], q:[0.5302, 0.5], qb:[0.4546, 0.5454], phi:[0.4924]]	2*t^2.864 + t^2.909 + t^3. + 2*t^3.045 + t^3.227 + t^4.205 + t^4.341 + t^4.432 + 2*t^4.477 + t^4.568 + t^4.613 + t^4.659 + t^4.704 + t^4.749 + 2*t^5.728 + t^5.773 + t^5.819 + 4*t^5.909 + t^5.955 - 3*t^6. - t^4.477/y - t^4.477*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
1574	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$	0.6945	0.8529	0.8142	[M:[0.9408, 1.0485, 1.0053, 0.984, 1.016, 0.9515, 1.0053], q:[0.5349, 0.5243], qb:[0.4597, 0.4917], phi:[0.4973]]	t^2.822 + t^2.854 + t^2.952 + 2*t^3.016 + t^3.048 + t^3.08 + t^4.25 + t^4.346 + t^4.442 + t^4.444 + t^4.476 + t^4.54 + t^4.572 + t^4.638 + t^4.67 + t^4.702 + t^5.645 + t^5.677 + t^5.709 + 2*t^5.838 + 2*t^5.87 + t^5.902 + t^5.934 + t^5.968 - 3*t^6. - t^4.492/y - t^4.492*y	detail